# Professor Stephane Bordas

PhD, MSc

Professor

## Overview

Born in Paris, France in 1975, I joined the Theoretical Applied and Computational Mechanics team at Cardiff University on 1st September 2009, as a Professor.

Before this, I was a lecturer in Glasgow University Civil Engineering Department for three years (2006-2009).

Between 2003 and 2006, I was at the Laboratory of Structural and Continuum Mechanics at the Swiss Federal Institute of Technology in Lausanne, Switzerland, working under the support of Professor Thomas Zimmermann on meshfree point collocation methods and partition of unity enrichment (extended finite elements) with applications to geomechanics.

In 2003, I graduated in Theoretical and Applied Mechanics with a Ph.D. from Northwestern University under the guidance of Professor Brian Moran. My thesis, funded by the Federal Aviation Administration, concentrated on applications of the extended finite element method (XFEM) to damage tolerance analysis of complex structures, casting design and biofilm growth processes. In addition to the unique support of Professor Moran, this work would never have been possible without Professor James Conley and Professor David Chopp as well as the instruction of Professor Ted Belytschko.

In 1999, through a joint graduate programme of the French Institute of Technology (Ecole Speciale des Travaux Publics) and the American Northwestern University I complete a dual M.Sc. after a thesis work on Time Domain Reflectometry simulation to assess ground movements with Professor Charles H. Dowding.

My areas of expertise are:

Computational mechanics with an emphasis on moving discontinuities (mechanics of fracture, biofilm and tumour growth, etc.)

Method development (enriched/extended finite elements, meshfree methods, smooth strain finite elements)

Evolving discontinuities (level set methods, partition of unity enrichment

Academic research/industrial applications: bridging the gap (porting novel methods to industrial codes, real-world applications of computational mechanics and novel method development)

More recently developed areas of interest include:

High Performance Computing

Surgical Simulation

Biomechanics

Microstructurally-faithful material modelling

Multiscale simulation

Model Reduction techniques

## Biography

### Professional memberships

Member of EPSRC Peer Review College (2012-)

Editor

- Asian journal of computational engineering

Editorial board (advisory panel) member:

- Computers and Structures
- Proceedings of ICE journal Engineering and Computational Mechanics
- Advances in Engineering Software
- MILLECHILI JOURNAL
- Journal of Software Engineering and Applications (JSEA)
- International Journal of Computational Methods
- Mathematical problems in engineering

Promotion committees:

- Cranfield
- Swansea University

Peer reviewer for:

- UK Engineering and Physical Science Research Council Peer Review College (2012-)
- NRF, South Africa (2012-)
- Portugal Research Council FCT - Fundação para a Ciência e a Tecnologia (2012-)
- Cyprus Research Promotion Foundation's Programmes (2011-)
- Shota Rustaveli National Science Foundation of Georgia (2011-)
- Engineering and Physical Science Research Council (EPSRC) UK (2009-)
- Czech National Science Foundation (2005-)
- Kazakhstan, National Center of Science and Technology Evaluation (2010-)

Honorary member of the TECHNET alliance

Member of the French Structural Mechanics Association

Member of the Engineering Professors’ Council

Reviewer for international journals:

Acta Mechanica

Advances in Engineering Software

Advances in Water Resources

African Journal of Mathematics and Computer Science Research

Applied Mathematical Modelling

Applied Numerical Mathematics

Applied Physics Letters

Archives of Mechanics

Beilstein Journal of Nanotechnology

Biomechanics and Modeling in Mechanobiology

Computational Mechanics

Computer Methods in Applied Mechanics and Engineering

Computer Methods in Biomechanics and Biomedical Engineering

Computers and Fluids

Computers and Structures

Engineering Analysis with Boundary Elements

Engineering Computations

Engineering Fracture Mechanics

European Journal of Mechanics A Solids

Fatigue and Fracture of Engineering Materials and Structures

Finite Elements in Analysis and Design

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Fluids

International Journal of Computer Mathematics

International Journal of Fracture

International Journal of Mechanical Sciences

International Journal of Metal Forming

International Journal of Numerical Methods for Heat and Fluid Flow

International Journal of Solids and Structures

International Journal of Thermal Sciences

John Wiley and Sons Books

Journal of Applied Mathematics

Journal of Applied Mathematics and Computing

Journal of Applied Mechanics

Journal of Composite Materials

Journal of Computational and Applied Mathematics

Journal of Computational Physics

Journal of Software Engineering and Applications (JSEA)

Journal of Sound and Vibrations

Journal of Strain Analysis

Journal of Zhejiang University-SCIENCE A

KSCE Journal of Civil Engineering

Mathematical and Computer Modelling

Mathematics and Computers in Simulation

Mechanics of Advanced Materials and Structures

Medical Engineering and Physics

Microelectronics Reliability

Modelling and Simulation in Engineering

Nuclear Engineering and Design

Proceedings of the Royal Society A

Structural Engineering and Mechanics

Sustainability

Transactions on Biomedical Engineering

Wave Motion

International Journal for Computational Methods in Engineering Science & Mechanics

Modelling and Simulation in Materials

Science and Engineering

Journal of Composite Materials

International Journal of Computer Assisted Radiology and Surgery

SELECTED INVITED LECTURES AND SHORT COURSES

2013 June 11-14 MAFELAP 2013 Invited Speaker http://people.brunel.ac.uk/~icsrsss/bicom/mafelap2013

2013 May 20-24 CISM Advanced Course on 'Iso- and Super-Geometric Methods for Numerical Simulation'

2013 April 19, Northwestern University “Critical Assessment of the State of the Art Mechanics and Computational Methods for Predicting Fracture and Failure of Solids and Structures” in honour of Prof. Belytschko’s 70th birthday

2012 November 14 Oxford Workshop - The eXtended Finite Element Method and Enriched Meshfree Methods in Practice

2012 October (CBM VII) Keynote Lecture (Cutting simulation of soft tissues in real time) jointly with MICCAI 2012

2012 September 10-14 (ECCM 2012) Semi-plenary lecture (Surgical Simulation)

2012 September ECT2012, Dubrovnik, Keynote lecturer

2012 August Berlin Workshop on Partition of Unity Methods (2 keynote invited lectures)

2012 July IUTAM Symposium 'Fracture phenomena in nature and technology' and IUTAM Summer School Lecturer http://events.unitn.it/en/iutam2012

2012 March ACME School (Extended Finite Element Method)

2011 October Imperial Multiscale Methods for Fracture (Institute of Civil Engineers)

2011 June Spencer Institute (Reducing the computational cost in computational fracture mechanics) (Keynote)

2011 March (28-31), DEMEASS Conference Luxembourg (Keynote)

2011 March 18 Liverpool Workshop on Fracture

2011 January 12 Loughborough University

2010 September ECT2010 Valencia (Keynote)

2010 August 2-12 Vietnam HANOI UNIVERSITY OF TECHNOLOGY and Tong Duc Thang University

2010 June 24 Universite de Liege, Belgium (Département Argenco : Secteur MS2F / Mécanique des solides)

2010 June 16 Heriot Watt Edinburgh (Mech. Eng.)

2010 June 7 Oxford (Department of Engineering Science)

2010 April 29 BAE Systems Bristol

2010 April 27 Cardiff (Mathematics)

2010 April 23 Leeds (Computational PDEs Unit)

2010 April 7 Durham (Eng. & Comp. Sci)

2010 February 17 Liverpool (Civil)

2010 February 10 Imperial (Aerospace)

2009 February 18 Imperial (Mechanical)

EXAMINER (PhD)

Imperial College London

Durham University

U. of Newcastle

Cardiff U.

U. of Glasgow

U. of Huddersfield

Delft University of Technology

INSA Lyon (Rapporteur)

U. Politecnica de Catalunya (Jury Member)

U. de Saragoza (Jury Member)

U. of Liège, Belgium (2)

Conference Scientific Committee

- 1st UK EPSRC Conference on Patient-Specific Modelling and Translational Research, Cardiff, UK, Jan 2012

- XFEM 2013 ECCOMAS Thematic Conference, Lyon, France, Sept 2013

INDUSTRIAL COLLABORATIONS

Soitec SA

Bosch GmbH

Cenaero, Belgium

inuTech GmbH

Virtual Vehicles, Austria

Culgi BV, Netherlands

Goldbeck Consulting Ltd, UK

Rolls-Royce plc

Simpleware ltd

Zencrack ltd

ACADEMIC COLLABORATIONS

Indian Institute of Science Bangalore

UC San Diego (ITN), USA

INRIA, (ERC), France

UPV (ITN), Spain

BHU Weimar (ITN), Germany

University of Western Australia (ERC), Australia

Tongji University, (EPSRC) China

College of Petroleum Engineering, Department of Oil and gas well engineering, China

University of Petroleum

University of Oklahoma, USA

Jozef Stefan Institute, Ljubljana, Slovenia

Czech Technical University in Prague, Czech Republic

Ecole Nationale Supérieure de Cachan, France

Tsinghua University, Dalian University of Technology, Brigham Young University, University of Texas at Austin

VIF Virtual Vehicle, Graz, Austria

University of Graz, Austria

University of the Witwatersrand (FP7)

Carnegie Mellon University, USA (FP7)

University of Glasgow (EPSRC)

Imperial College London

Fraunhofer institute, Germany

Friedrich-Alexander Universität Erlangen-Nürnberg

National Technical University of Athens

Technische Universität Darmstadt, Germany

UPC, Spain

Northwestern University, USA

Tel Aviv University, Israel

COMMITTEES

International Scientific Committee for the third African Conference on Computational Mechanics – An IACM supported event - 2013

## Publications

### 2021

- Jacquemin, T. and Bordas, S. P. A. 2021. A unified algorithm for the selection of collocation stencils for convex, concave and singular problems. International Journal for Numerical Methods in Engineering (10.1002/nme.6703)
- Dsouza, S. M.et al. 2021. Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Mathematical and Computer Modelling of Dynamical Systems 27(1), pp. 290-321. (10.1080/13873954.2021.1902355)
- Agustoni, G.et al. 2021. High resolution micro-computed tomography reveals a network of collagen channels in the body region of the knee meniscus. Annals of Biomedical Engineering (10.1007/s10439-021-02763-6)
- Ding, C.et al. 2021. Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Computational Mechanics (10.1007/s00466-020-01944-9)

### 2020

- Chen, L.et al. 2020. Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision surfaces. Advances in Engineering Software 149 (10.1016/j.advengsoft.2020.102879)
- Ding, C.et al. 2020. An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures. Advances in Engineering Software 148, article number: 102866. (10.1016/j.advengsoft.2020.102866)
- Agathos, K., Bordas, S. P. A. and Chatzi, E. 2020. Parametrized reduced order modeling for cracked solids. International Journal for Numerical Methods in Engineering 121(20), pp. 4537-4565. (10.1002/nme.6447)
- Chen, L.et al. 2020. Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability. Computer Methods in Applied Mechanics and Engineering 366, article number: 112878. (10.1016/j.cma.2020.112878)
- Chen, L.et al. 2020. Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering 362, article number: 112806. (10.1016/j.cma.2019.112806)
- Hauseux, P.et al. 2020. From quantum to continuum mechanics in the delamination of atomically-thin layers from substrates. Nature Communications 11(1), article number: 1651. (10.1038/s41467-020-15480-w)
- Al-Saad, M.et al. 2020. Application of smooth particle hydrodynamics method for modelling blood flow with thrombus formation. Computer Modeling in Engineering & Sciences 122(3), pp. 831-862. (10.32604/cmes.2020.08527)
- Ding, C.et al. 2020. Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. Computer Methods in Applied Mechanics and Engineering 359, article number: 112753. (10.1016/j.cma.2019.112753)

### 2019

- Mohtarami, E.et al. 2019. Fracture mechanism simulation of inhomogeneous anisotropic rocks by extended finite element method. Theoretical and Applied Fracture Mechanics 104, article number: 102359. (10.1016/j.tafmec.2019.102359)
- Chen, L.et al. 2019. Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering 355, pp. 926-951. (10.1016/j.cma.2019.06.012)
- Katili, I.et al. 2019. A unified polygonal locking-free thin/thick smoothed plate element. Composite Structures 219, pp. 147-157. (10.1016/j.compstruct.2019.03.020)
- Feng, S. Z.et al. 2019. A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Acta Mechanica 230(7), pp. 2385-2398. (10.1007/s00707-019-02386-y)
- Ding, C.et al. 2019. Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. Computer Methods in Applied Mechanics and Engineering 349, pp. 266-284. (10.1016/j.cma.2019.02.004)
- Bansal, M.et al. 2019. A simple and robust computational homogenization approach for heterogeneous particulate composites. Computer Methods in Applied Mechanics and Engineering 349, pp. 45-90. (10.1016/j.cma.2019.02.001)
- Budarapu, P. R.et al. 2019. Multiscale modeling of material failure: Theory and computational methods. Advances in Applied Mechanics 52, pp. 1-103. (10.1016/bs.aams.2019.04.002)
- Videla, J.et al. 2019. h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. Computers and Mathematics with Applications 77(9), pp. 2369-2395. (10.1016/j.camwa.2018.12.026)
- Francis, A.et al. 2019. A one point integration rule over star convex polytopes. Computers and Structures 215, pp. 43-64. (10.1016/j.compstruc.2019.01.001)
- Bansal, M.et al. 2019. A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials. Computer Methods in Applied Mechanics and Engineering 347, pp. 365-401. (10.1016/j.cma.2018.12.023)
- Yang, J.et al. 2019. Model I cohesive zone models of different rank coals. International Journal of Rock Mechanics and Mining Sciences 115, pp. 145-156. (10.1016/j.ijrmms.2019.01.001)
- Khajah, T., Antoine, X. and Bordas, S. P. A. 2019. B-Spline FEM for time-harmonic acoustic scattering and propagation. Journal of Theoretical and Computational Acoustics 27(3), article number: 1850059. (10.1142/S2591728518500597)
- Lin, X.et al. 2019. The elastic properties of composites reinforced by a transversely isotropic random fibre-network. Composite Structures 208, pp. 33-44. (10.1016/j.compstruct.2018.09.097)
- Rappel, H.et al. 2019. Identifying elastoplastic parameters with Bayes' theorem considering output error, input error and model uncertainty. Probabilistic Engineering Mechanics 55, pp. 28-41. (10.1016/j.probengmech.2018.08.004)

### 2018

- Yu, P.et al. 2018. Adaptive Isogeometric analysis for plate vibrations: An efficient approach of local refinement based on hierarchical a posteriori error estimation. Computer Methods in Applied Mechanics and Engineering 342, pp. 251-286. (10.1016/j.cma.2018.08.010)
- Ley, C. and Bordas, S. P. A. 2018. What makes data science different? A discussion involving Statistics2.0 and computational sciences. International Journal of Data Science and Analytics 6(3), pp. 167–175. (10.1007/s41060-017-0090-x)
- Nguyen, T.et al. 2018. 3D meso-scale modelling of foamed concrete based on X-ray Computed Tomography. Construction and Building Materials 188, pp. 583-598. (10.1016/j.conbuildmat.2018.08.085)
- Introini, C.et al. 2018. A mass conservative Kalman filter algorithm for computational thermo-fluid dynamics. Materials 11(11), article number: 2222. (10.3390/ma11112222)
- Ortiz-Bernardin, A.et al. 2018. A volume-averaged nodal projection method for the Reissner-Mindlin plate model. Computer Methods in Applied Mechanics and Engineering 341, pp. 827-850. (10.1016/j.cma.2018.07.023)
- Agathos, K., Chatzi, E. and Bordas, S. P. A. 2018. Multiple crack detection in 3D using a stable XFEM and global optimization. Computational Mechanics 62(4), pp. 835-852. (10.1007/s00466-017-1532-y)
- Atroshchenko, E.et al. 2018. Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super-geometric analysis to Geometry-Independent Field approximaTion (GIFT). International Journal for Numerical Methods in Engineering 114(10), pp. 1131-1159. (10.1002/nme.5778)
- Phuoc Bui, H.et al. 2018. Controlling the error on target motion through real-time mesh adaptation: applications to deep brain stimulation. Communications in Numerical Methods in Engineering 34(5), article number: 2958. (10.1002/cnm.2958)
- Sheng, M.et al. 2018. XFEM modeling of multistage hydraulic fracturing in anisotropic shale formations. Journal of Petroleum Science and Engineering 162, pp. 801-812. (10.1016/j.petrol.2017.11.007)
- Bui, H. P.et al. 2018. Real-time error control for surgical simulation. IEEE Transactions on Biomedical Engineering 65(3), pp. 596-607. (10.1109/TBME.2017.2695587)
- Sutula, D.et al. 2018. Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications. Engineering Fracture Mechanics 191, pp. 257-276. (10.1016/j.engfracmech.2017.08.004)
- Sutula, D.et al. 2018. Minimum energy multiple crack propagation. Part-II: discrete solution with XFEM. Engineering Fracture Mechanics 191, pp. 225-256. (10.1016/j.engfracmech.2017.07.029)
- Sutula, D.et al. 2018. Minimum energy multiple crack propagation. Part I: Theory and state of the art review. Engineering Fracture Mechanics 191, pp. 205-224. (10.1016/j.engfracmech.2017.07.028)
- Agathos, K.et al. 2018. Well conditioned extended finite elements and vector level sets for three-dimensional crack propagation. Presented at: Workshop on Geometrically Unfitted Finite Element Methods, London, UK, 6-8 January Presented at Bordas, S. et al. eds.Geometrically Unfitted Finite Element Methods and Applications: Proceedings of the UCL Workshop 2016, Vol. 121. Lecture Notes in Computational Science and Engineering Cham: Springer pp. 307-309., (10.1007/978-3-319-71431-8_10)
- Akbari, A., Kerfriden, P. and Bordas, S. 2018. On the effect of grains interface parameters on the macroscopic properties of polycrystalline materials. Computers and Structures 196, pp. 355-368. (10.1016/j.compstruc.2017.09.005)

### 2017

- Surendran, M.et al. 2017. Linear smoothed extended finite element method. International Journal for Numerical Methods in Engineering 112(12), pp. 1733-1749. (10.1002/nme.5579)
- Hauseux, P., Hale, J. S. and Bordas, S. 2017. Calculating the Malliavin derivative of some stochastic mechanics problems. PLoS ONE 12(12), article number: e0189994. (10.1371/journal.pone.0189994)
- Atroshchenko, E.et al. 2017. Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach. Engineering Analysis with Boundary Elements 83, pp. 195-203. (10.1016/j.enganabound.2017.07.023)
- Rappel, H., Beex, L. A. A. and Bordas, S. P. A. 2017. Bayesian inference to identify parameters in viscoelasticity. Mechanics of Time-Dependent Materials 22(2), pp. 221-258. (10.1007/s11043-017-9361-0)
- Nguyen, V. P.et al. 2017. Modelling hydraulic fractures in porous media using flow cohesive interface elements. Engineering Geology 225, pp. 68-82. (10.1016/j.enggeo.2017.04.010)
- Deng, J.et al. 2017. Numerical evaluation of buckling behaviour induced by compression on patch-repaired composites. Composite Structures 168, pp. 582-596. (10.1016/j.compstruct.2016.12.071)
- Hauseux, P., Hale, J. S. and Bordas, S. P. 2017. Accelerating Monte Carlo estimation with derivatives of high-level finite element models. Computer Methods in Applied Mechanics and Engineering 318, pp. 917-936. (10.1016/j.cma.2017.01.041)
- Martínez-Pañeda, E., Natarajan, S. and Bordas, S. 2017. Gradient plasticity crack tip characterization by means of the extended finite element method. Computational Mechanics 59(5), pp. 831-842. (10.1007/s00466-017-1375-6)
- Lian, H., Kerfriden, P. and Bordas, S. 2017. Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines. Computer Methods in Applied Mechanics and Engineering 317, pp. 1-41. (10.1016/j.cma.2016.11.012)
- Paladim, D. A.et al. 2017. Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales. International Journal for Numerical Methods in Engineering 110(2), pp. 103-132. (10.1002/nme.5348)
- Peng, X.et al. 2017. Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth. Computer Methods in Applied Mechanics and Engineering 316, pp. 151-185. (10.1016/j.cma.2016.05.038)
- Bourantas, G.et al. 2017. An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D. Engineering Analysis with Boundary Elements 77, pp. 97-111. (10.1016/j.enganabound.2017.01.009)
- Lee, C.et al. 2017. Strain smoothing for compressible and nearly-incompressible finite elasticity. Computers & Structures 182, pp. 540-555. (10.1016/j.compstruc.2016.05.004)
- Wan, D.et al. 2017. A fully smoothed XFEM for analysis of axisymmetric problems with weak discontinuities. International Journal for Numerical Methods in Engineering 110(3), pp. 203-226. (10.1002/nme.5352)
- Francis, A.et al. 2017. Linear smoothed polygonal and polyhedral finite elements. International Journal for Numerical Methods in Engineering 109(9), pp. 1263-1288. (10.1002/nme.5324)
- Peng, X.et al. 2017. Linear elastic fracture simulation directly from CAD: 2D NURBS-based implementation and role of tip enrichment. International Journal of Fracture 204(1), pp. 55-78. (10.1007/s10704-016-0153-3)
- Peng, X.et al. 2017. An extended finite element method (XFEM) for linear elastic fracture with smooth nodal stress. Computers & Structures 179, pp. 48-63. (10.1016/j.compstruc.2016.10.014)
- Jin, Y.et al. 2017. Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. Computer Methods in Applied Mechanics and Engineering 318, pp. 319-348. (10.1016/j.cma.2016.12.016)

### 2016

- Loukopoulos, V. C.et al. 2016. Numerical study of magnetic particles concentration in biofluid (blood) under the influence of high gradient magnetic field in microchannel. Presented at: 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 5-10 June 2016 Presented at Papadrakakis, M. et al. eds.ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering, Vol. 1. Athens, Greece: National Technical University of Athens pp. 1084-1092., (10.7712/100016.1871.9717)
- Agathos, K., Chatzi, E. and Bordas, S. P. A. 2016. Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture. Computer Methods in Applied Mechanics and Engineering 306, pp. 19-46. (10.1016/j.cma.2016.03.023)
- Lian, H., Kerfriden, P. and Bordas, S. P. A. 2016. Implementation of regularized isogeometric boundary element methods for gradient-based shape optimization in two-dimensional linear elasticity. International Journal for Numerical Methods in Engineering 106(12), pp. 972-1017. (10.1002/nme.5149)
- Goury, O.et al. 2016. Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Computational Mechanics 58, pp. 213-234. (10.1007/s00466-016-1290-2)
- Hoang, K. C., Kerfriden, P. and Bordas, S. P. A. 2016. A fast, certified and 'tuning free' two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Computer Methods in Applied Mechanics and Engineering 298, pp. 121-158. (10.1016/j.cma.2015.08.016)
- Al-Saad, M. and Bordas, S. 2016. BLOOD FLOW SIMULATION USING SMOOTHED PARTICLE HYDRODYNAMICS. Presented at: Association for Computational Mechanics in Engineering, Cardiff University, Cardiff, 31 March - 01 April 2016.

### 2015

- Natarajan, S., Bordas, S. P. A. and Ooi, E. T. 2015. Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods. International Journal for Numerical Methods in Engineering 104(13), pp. 1173-1199. (10.1002/nme.4965)
- Jung, A.et al. 2015. Open-cell aluminium foams with graded coatings as passively controllable energy absorbers. Materials & Design 87, pp. 36-41. (10.1016/j.matdes.2015.07.165)
- Nguyen, V. P.et al. 2015. Isogeometric analysis: an overview and computer implementation aspects. Mathematics and Computers in Simulation 117, pp. 89-116. (10.1016/j.matcom.2015.05.008)
- Akbari Rahimabadi, A., Kerfriden, P. and Bordas, S. 2015. Scale selection in nonlinear fracture mechanics of heterogeneous materials. Philosophical Magazine 95(28-30), pp. 3328-3347. (10.1080/14786435.2015.1061716)
- Zhao, X., Bordas, S. P. A. and Qu, J. 2015. Equilibrium morphology of misfit particles in elastically stressed solids under chemo-mechanical equilibrium conditions. Journal of the Mechanics and Physics of Solids 81, pp. 1-21. (10.1016/j.jmps.2015.04.008)
- Atroshchenko, E. and Bordas, S. P. A. 2015. Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471(2179), article number: 20150216. (10.1098/rspa.2015.0216)
- Agathos, K.et al. 2015. A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture. International Journal for Numerical Methods in Engineering 105(9), pp. 643-677. (10.1002/nme.4982)
- Hoang, K. C.et al. 2015. An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. Numerical Methods for Partial Differential Equations 31(2), pp. 575-608. (10.1002/num.21932)
- Ghasemi, H.et al. 2015. Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients. Composite Structures 120, pp. 221-230. (10.1016/j.compstruct.2014.10.005)
- Thai, C. H.et al. 2015. Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. Mechanics of Advanced Materials and Structures 22(6), pp. 451-469. (10.1080/15376494.2013.779050)
- Sheng, M.et al. 2015. Enriched finite elements for branching cracks in deformable porous media. Engineering Analysis with Boundary Elements 50, pp. 435-446. (10.1016/j.enganabound.2014.09.010)

### 2014

- Silani, M.et al. 2014. Stochastic modelling of clay/epoxy nanocomposites. Composite Structures 118, pp. 241-249. (10.1016/j.compstruct.2014.07.009)
- Nguyen, V. P.et al. 2014. Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm. Computer-Aided Design 55, pp. 49-63. (10.1016/j.cad.2014.05.004)
- Chen, L.et al. 2014. Explicit finite deformation analysis of isogeometric membranes. Computer Methods in Applied Mechanics and Engineering 277, pp. 104-130. (10.1016/j.cma.2014.04.015)
- Yin, S.et al. 2014. Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates. Steel && Composite Structures 118, pp. 121-138. (10.1016/j.compstruct.2014.07.028)
- Budarapu, P. R.et al. 2014. An adaptive multiscale method for quasi-static crack growth. Computational Mechanics 53(6), pp. 1129-1148. (10.1007/s00466-013-0952-6)
- Nguyen, V. P.et al. 2014. Nitsche's method for two and three dimensional NURBS patch coupling. Computational Mechanics 53(6), pp. 1163-1182. (10.1007/s00466-013-0955-3)
- Moumnassi, M.et al. 2014. Analysis using higher-order XFEM: implicit representation of geometrical features from a given parametric representation. Mechanics & Industry 15(5), pp. 443-448. (10.1051/meca/2014033)
- Talebi, H.et al. 2014. A computational library for multiscale modeling of material failure. Computational Mechanics 53(5), pp. 1047-1071. (10.1007/s00466-013-0948-2)
- Gonzalez Estrada, O. A.et al. 2014. Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery. Computational Mechanics 53(5), pp. 957-976. (10.1007/s00466-013-0942-8)
- Akmar, A. B. I.et al. 2014. Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties. Composite Structures 116, pp. 1-17. (10.1016/j.compstruct.2014.04.014)
- Nguyen, V. P., Kerfriden, P. and Bordas, S. P. A. 2014. Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis. Composites Part B: Engineering 60, pp. 193-212. (10.1016/j.compositesb.2013.12.018)
- Natarajan, S.et al. 2014. Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method. Mathematical Problems in Engineering 2014, pp. -., article number: 247932.
- Courtecuisse, H.et al. 2014. Real-time simulation of contact and cutting of heterogeneous soft-tissues. Medical Image Analysis 18(2), pp. 394-410. (10.1016/j.media.2013.11.001)
- Kerfriden, P., Ródenas, J. J. and Bordas, S. P. A. 2014. Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. International Journal for Numerical Methods in Engineering 97(6), pp. 395-422. (10.1002/nme.4588)
- Amiri, F.et al. 2014. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Computational Mechanics 53(1), pp. 45-57. (10.1007/s00466-013-0891-2)
- Thai, C. H.et al. 2014. Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. European Journal of Mechanics - A/Solids 43, pp. 89-108. (10.1016/j.euromechsol.2013.09.001)
- Cahill, L. M. A.et al. 2014. An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae. Composite Structures 107, pp. 119-130. (10.1016/j.compstruct.2013.05.039)
- Bordas, S. P. A. ed. 2014. Advances in applied mechanics. Elsevier.
- Rabczuk, T., Bordas, S. P. A. and Zi, G. eds. 2014. Computational methods for fracture: volume 14 [Guest Edition of journal]. Hindawi Publishing Corporation.
- Natarajan, S.et al. 2014. Numerical analysis of the inclusion-crack interaction by the extended finite element method. International Journal for Computational Methods in Engineering Science and Mechanics 15(1), pp. 26-32. (10.1080/15502287.2013.833999)
- Nguyen-Xuan, H.et al. 2014. Isogeometric analysis of functionally graded plates using a refined plate theory. Composites: Part B Engineering 64, pp. 222-234. (10.1016/j.compositesb.2014.04.001)
- Kerfriden, P., Paladim, D. A. and Bordas, S. P. A. 2014. Homogenisation methods with guaranteed accuracy: quantifying the scale separability. Presented at: 5th International Conference on Computational Methods (ICCM2014), Cambridge, UK, 28-30 July 2014.
- Kerfriden, P., Renas, J. and Bordas, S. P. A. 2014. An error bounding technique for the certification of Galerkin-POD surrogates. Presented at: 11th Colloque National en Calcul des Structures CSMA 2013, Giens, France, 22 May 2013.

### 2013

- Natarajan, S.et al. 2013. Analysis of composite plates by a unified formulation-cell based smoothed finite element method and field consistent elements. Composite Structures 105, pp. 75-81. (10.1016/j.compstruct.2013.04.040)
- Talebi, H.et al. 2013. Molecular dynamics/XFEM coupling by a three dimensional extended bridging domain with applications to dynamic brittle fracture. International Journal for Multiscale Computational Engineering 11(6), pp. 527-541. (10.1615/IntJMultCompEng.2013005838)
- González-Estrada, O. A.et al. 2013. Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity. Computational Mechanics 52(1), pp. 37-52. (10.1007/s00466-012-0795-6)
- Lian, H., Simpson, R. N. and Bordas, S. P. A. 2013. Stress analysis without meshing: Isogeometric boundary-element method. Proceedings of the Institution of Civil Engineers. Engineering and Computational Mechanics 166(2), pp. 88-99. (10.1680/eacm.11.00024)
- Valizadeh, N.et al. 2013. NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter. Composite Structures 99, pp. 309-326. (10.1016/j.compstruct.2012.11.008)
- Kerfriden, P.et al. 2013. A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. Computer Methods in Applied Mechanics and Engineering 256, pp. 169-188. (10.1016/j.cma.2012.12.004)
- Simpson, R. N.et al. 2013. An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects. Computers and Structures 118, pp. 2-12. (10.1016/j.compstruc.2012.12.021)
- Scott, M. A.et al. 2013. Isogeometric boundary element analysis using unstructured T-splines. Computer Methods in Applied Mechanics and Engineering 254, pp. 197-221. (10.1016/j.cma.2012.11.001)
- Kerfriden, P.et al. 2013. Statistical extraction of process zones and representative subspaces in fracture of random composites. International Journal for Multiscale Computational Engineering 11(3), pp. 253-287. (10.1615/IntJMultCompEng.2013005939)
- Karihaloo, B. L., Bordas, S. P. A. and Kerfriden, P. 2013. Advances in extended finite element methods for fracture and heterogeneous materials. Presented at: 13th International Conference on Fracture (ICF 2013), Beijing, China, 16-21 June 2013.
- Courtecuisse, H., Kerfriden, P. and Bordas, S. P. A. 2013. Cutting in real time in corotational elasticity and perspectives on simulating cuts. Presented at: Computational Biomechanics for Medicine: Models, Algorithms and Implementation (Seventh Computational Biomechanics for Medicine Workshop), France, 29 March 2013 Presented at Wittek, A., Miller, K. and Nielsen, P. M. F. eds.Computational Biomechanics for Medicine, Vol. 1. Springer pp. 3-5., (10.1007/978-1-4614-6351-1_1)

### 2012

- Natarajan, S.et al. 2012. Size-dependent free flexural vibration behavior of functionally graded nanoplates. Computational Materials Science 65, pp. 74-80. (10.1016/j.commatsci.2012.06.031)
- Nguyen-Vinh, H.et al. 2012. Extended finite element method for dynamic fracture of piezo-electric materials. Engineering Fracture Mechanics 92, pp. 19-31. (10.1016/j.engfracmech.2012.04.025)
- Simpson, R. N.et al. 2012. Enriched residual free bubbles for semiconductor device simulation. Computational Mechanics 50(1), pp. 119-133. (10.1007/s00466-011-0658-6)
- Chen, L.et al. 2012. Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Computer Methods in Applied Mechanics and Engineering 209-16, pp. 250-256. (10.1016/j.cma.2011.08.013)
- Simpson, R. N.et al. 2012. A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis. Computer Methods in Applied Mechanics and Engineering 209-12, pp. 87-100. (10.1016/j.cma.2011.08.008)
- Kerfriden, P., Passieux, J. C. and Bordas, S. P. A. 2012. Local/Global model order reduction strategy for the simulation of localised failure. International Journal for Numerical Methods in Engineering 89(2), pp. 154-179. (10.1002/nme.3234)
- Gonzalez Estrada, O. A.et al. 2012. On the role of enrichment and statical admissibility of recovered fields in a posteriori error estimation for enriched finite element methods. Engineering Computations 29(8), pp. 814-841. (10.1108/02644401211271609)
- Nguyen-Xuan, H.et al. 2012. A cell-based smoothed finite element method for three dimensional solid structures. KSCE Journal of Civil Engineering 16(7), pp. 1230-1242. (10.1007/s12205-012-1515-7)
- Long, D.et al. 2012. A force-based large increment method for 2D continuum solids and the mesh convergence study. Presented at: International Conference Of Computational Methods In Sciences And Engineering 2009: (ISSMCE 2009), Rhodes, Greece, 29 September–4 October 2009AIP Conference Proceedings, Vol. 1504. American Institute of Physics pp. 377-387., (10.1063/1.4771730)

### 2011

- Cahill, L.et al. 2011. Experimental-Numerical determination of the fracture toughness of a unidirectional composite material using DIC and a J-Integral approach. Presented at: IWCMM 21 - 21st International Workshop on Computational Mechanics of Materials, Limerick, Ireland, 21-24 August 2011.
- Goury, O.et al. 2011. Rationalised computational time in fracture simulation: adaptive model reduction and domain decomposition. Presented at: 2nd International Conference on Extended Finite Element Methods (XFEM 2011), Cardiff, UK, 29 June - 1 July 2011.
- Akbari Rahimabadi, A.et al. 2011. Enriched Meshless Local Petrov-Galerkin (MLPG) Method to model strong discontinuities and singularities with application to cracks in functionally graded materials. Presented at: 2nd International Conference on Extended Finite Element Methods (XFEM 2011), Cardiff, UK, 29 June - 1 July 2011.
- Simpson, R. N.et al. 2011. Suppressing mesh generation for linear elastic fracture simulation: isogeometric analyusis with boundary element methods. Presented at: The 2nd International Conference on the EXtended Finite Element Method, Cardiff, UK, 29 June - 1 July 2011.
- Simpson, R. N.et al. 2011. Suppressing the need for meshing: Isogeometric Boundary Elements for linear-elastic fracture analysis. Presented at: International Conference on Computational Modelling of Fracture and Failure of Materials and Structures (CFRAC 2011), Barcelona, Spain, 6-8 June 2011.
- Nguyen-Thanh, N.et al. 2011. Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. Computer Methods in Applied Mechanics and Engineering 200(21-22), pp. 1892-1908. (10.1016/j.cma.2011.01.018)
- Kerfriden, P., Gosselet, P. and Bordas, S. P. A. 2011. Recent developments in local global reduction techniques for the simulation of local failure in structures. Presented at: 10eme Colloque National en Calcul des Structures (CSMA 2011), Giens, Var, France, 9-13 May 2011.
- Menk, A. and Bordas, S. P. A. 2011. A robust preconditioning technique for the extended finite element method. International Journal for Numerical Methods in Engineering 85(13), pp. 1609-1632. (10.1002/nme.3032)
- Natarajan, S.et al. 2011. Linear free flexural vibration of cracked functionally graded plates in thermal environment. Computers and Structures 89(15-16), pp. 1535-1546. (10.1016/j.compstruc.2011.04.002)
- Kerfriden, P.et al. 2011. Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems. Computer Methods in Applied Mechanics and Engineering 200(5-8), pp. 850-866. (10.1016/j.cma.2010.10.009)
- Moumnassi, M.et al. 2011. Finite element analysis on implicitly defined domains: An accurate representation based on arbitrary parametric surfaces. Computer Methods in Applied Mechanics and Engineering 200(5-8), pp. 774-796. (10.1016/j.cma.2010.10.002)
- Bordas, S. P. A.et al. 2011. On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM). International Journal for Numerical Methods in Engineering 86(4-5), pp. 637-666. (10.1002/nme.3156)
- Menk, A. and Bordas, S. P. A. 2011. Crack growth calculations in solder joints based on microstructural phenomena with X-FEM. Computational Material Science 50(3), pp. 1145-1156. (10.1016/j.commatsci.2010.11.014)
- Zhuang, X., Augarde, C. and Bordas, S. P. A. 2011. Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling. International Journal for Numerical Methods in Engineering 86(2), pp. 249-268.
- Thai-Hoang, C.et al. 2011. A cell-based smoothed finite element method for free vibration and buckling analysis of shells. KSCE Journal of Civil Engineering 15(2), pp. 347-361. (10.1007/s12205-011-1092-1)
- Dunant, C. F.et al. 2011. An algorithm to compute damage from load in composites. Frontiers of Architecture and Civil Engineering in China 5(2), pp. 180-193. (10.1007/s11709-011-0107-9)
- Menk, A.et al. 2011. Lifetime prediction for solder joints with the extended finite element method. Presented at: Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE) 2011, 12th International Conferenc, Linz, Austria, 18-20 April 20112011 12th International Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE 2011). New York: IEEE pp. 113-120., (10.1109/ESIME.2011.5765773)
- Vu-Bac, N.et al. 2011. A Node-Based Smoothed eXtended Finite Element Method (NS-XFEM) for Fracture Analysis. Computer Modeling in Engineering & Science 73(4), pp. 331-356. (10.3970/cmes.2011.073.331)
- Baiz, P.et al. 2011. Linear buckling analysis of cracked plates by SFEM and XFEM. Journal of Mechanics of Materials and Structures 6(9-10), pp. 1213-1238. (10.2140/jomms.2011.6.1213)
- Natarajan, S.et al. 2011. Natural frequencies of cracked functionally graded material plates by the extended finite element method. Composite Structures 93(11), pp. 3082-3092. (10.1016/j.compstruct.2011.04.007)
- Nguyen-Thanh, N.et al. 2011. An alternative alpha finite element method with discrete shear gap technique for analysis of isotropic Mindlin-Reissner plates. Finite Elements in Analysis and Design 47(5), pp. 519-535. (10.1016/j.finel.2011.01.004)
- Kerfriden, P., Margetts, L. and Bordas, S. P. A. 2011. An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. Presented at: 19th UK National Conference of the Association for Computational Mechanics in Engineering (ACME 2011), Edinburgh, UK, 5-6 April 2011 Presented at Laghrouche, O. et al. eds.Proceedings of the 19th UK National Conference of the Association for Computational Mechanics in Engineering. Edinburgh: Heriot Watt University pp. 89-92.
- Natarajan, S.et al. 2011. Natural frequencies of cracked isotrophic and specially orthotropic plates using the extended finite element method. Presented at: 19th UK National Conference of the Association for Computational Mechanics in Engineering (ACME 2011), Edinburgh, UK, 5-6 April 2011 Presented at Laghrouche, O. et al. eds.Proceedings of the 19th UK National Conference for the Association for Computational Mechanics in Engineering. Edinburgh: Heriot Watt University pp. 241-244.
- Simpson, R. N.et al. 2011. An isogeometric boundary element method for elastostatic problems. Presented at: 19th UK National Conference of the Association for Computational Mechanics in Engineering (ACME 2011), Edinburgh, UK, 5-6 April 2011 Presented at Laghrouche, O. et al. eds.Proceedings of the 19th UK National Conference of the Association for Computational Mechanics in Engineering. Edinburgh: Heriot Watt University pp. 285-290.
- Goury, O.et al. 2011. Reduced order modeling for nonlinear fracture mechanics in a domain decomposition framework. Presented at: 19th UK National Conferece of the Association for Computational Mechanics in Engineering(ACME 2011), Edinburgh, UK, 5-6 April 2011Proceedings of the 19th UK National Conference of the Association for Computational Mechanics in Engineering. Edinburgh: Heriot Watt University pp. 113-116.
- Gonzalez Estrada, O.et al. 2011. Enchanced recovery techniques for accurate evaluation of error estimates in FE approximations. Presented at: 19th UK National Conference of the Association for Computational Mechanics in Engineering (ACME 2011), Edinburgh, 5-6 April 2011 Presented at Laghrouche, O. et al. eds.Proceedings of the 19th UK National Conference of the Association for Computational Mechanics in Engineering. Edinburgh: Heriot Watt University pp. 253-256.
- Akbari Rahimabadi, A.et al. 2011. A robust local arc-length method for multiscale problems. Presented at: 19th UK Conference of the Association for Computational Mechanics in Engineering (ACME 2011), Edinburgh, UK, 5-6 April 2011 Presented at Laghrouche, O. et al. eds.Proceedings of the19th UK Conference of the Association for Computational Mechanics in Engineering (ACME 2011). Edinburgh: Heriot-Watt University pp. 73-76.

### 2010

- Menk, A. and Bordas, S. P. A. 2010. Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals. International Journal for Numerical Methods in Engineering 83(7), pp. 805-828. (10.1002/nme.2858)
- Nguyen Thanh, N.et al. 2010. Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes. Presented at: World Congress in Computational Mechanics (WCCM2010), Sydney, Australia, 19–23 July 2010 Presented at Khalili, N. et al. eds.Proceedings: 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics. IOP Conference Series: Materials Science and Engineering Vol. 10. Institute of Physics, (10.1088/1757-899X/10/1/012238)
- Rabczuk, T.et al. 2010. Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes. Presented at: IV European Conference on Computational Mechanics (ECCM 2010), Paris, France, 16-21 May 2010.
- Bordas, S. P. A. and Natarajan, S. 2010. On the approximation in the smoothed finite element method (SFEM). International Journal for Numerical Methods in Engineering 81(5), pp. 660-670. (10.1002/nme.2713)
- Bordas, S. P. A.et al. 2010. Strain smoothing in FEM and XFEM. Computers and Structures 88(23-24), pp. 1419-1443. (10.1016/j.compstruc.2008.07.006)
- Le, C. V.et al. 2010. A cell-based smooth finite element method for kinematic limit analysis. International Journal for Numerical Methods in Engineering 83(12), pp. 1651-1674. (10.1002/nme.2897)
- Natarajan, S., Mahaptra, D. R. and Bordas, S. P. A. 2010. Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework. International Journal for Numerical Methods in Engineering 83(3), pp. 269-294. (10.1002/nme.2798)
- Nguyen-Thanh, N.et al. 2010. An alternative alpha finite element method (A alpha FEM) for free and forced structural vibration using triangular meshes. Journal of Computational and Applied Mathematics 233(9), pp. 2112-2135. (10.1016/j.cam.2009.08.117)
- Nguyen-Xuan, H.et al. 2010. A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Computational Mechanics 46(5), pp. 679-701. (10.1007/s00466-010-0509-x)
- Rabczuk, T.et al. 2010. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering 199(37-40), pp. 2437-2455. (10.1016/j.cma.2010.03.031)
- Kerfriden, P.et al. 2010. POD-based model order reduction for the simulation of strong nonlinear evolutions in structures: Application to damage propagation. IOP Conference Series: Materials Science and Engineering 10(1), article number: 12165. (10.1088/1757-899X/10/1/012165)
- Natarajan, S.et al. 2010. Numerical Methods for nonlocal elasticity and gradient elasticity. Presented at: European Conference on Computational Mechanics (ECCM-2010), Paris, France.
- Natarajan, S.et al. 2010. Smoothed finite elements and partition of unity finite elements for nonlocal integral and nonlocal gradient elasticity. Presented at: World Congress on Computational Mechanics (WCCM/APCOM 2010), Sydney, Australia.
- Natarajan, S.et al. 2010. Non-local elasticity: towards CO continuity requirements for gradient type : Partition of unity (XFEM) enrichment for strong and weak discontinuities. Presented at: 9th World Congress on Computational Mechanics (WCCM/APCOM 2010), Sydney, Australia.
- Zhang, B.et al. 2010. On the structure of a new superhard hexagonal carbon phase. Presented at: 2nd International Symposium on Computational Mechanics & 12th International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science, Hong Kong, China, 30 November-3 December 2009Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, Hong Kong, 30 November - 3 December 2009. AIP Conference Proceedings Vol. 1233. Melville, NY: American Institute of Physics pp. 489-493., (10.1063/1.3452220)
- Baiz, P. M.et al. 2010. Linear buckling analysis of cracked isotropic plates using the extended finite element method. Presented at: 18th UK conference on Computational Mechanics (ACMEUK), Southampton, UK.
- Cahill, L.et al. 2010. Enriched finite elements (xfem) for multi-crack growth simulations in orthotropic materials. Presented at: 4th European Congress on Computational Mechanics (ECCM IV): Solids, Structures and Coupled Problems in Engineering, Paris, France.
- Cahill, L.et al. 2010. XFEM modelling of delamination in composite materials. Presented at: 18th UK conference on Computational Mechanics (ACMEUK), Southampton, UK.
- Kerfriden, P., Adhikari, S. and Bordas, S. P. A. 2010. Bridging model order reduction and domain decomposition: some new developments. Presented at: 9th World Congress on Computational Mechanics (WCCM/APCOM 2010), Sydney Australia.
- Long, D. B.et al. 2010. An element nodal force-based large increment method for elastoplacisity. Presented at: 2nd International Symposium on Computational Mechanics (ISCM II), in conjunction with 12th International Conference on the Enhancement and Promotion of Computational Methods In Engineering and Science (EPMESC XII), Macau, China, 30 November-3 December 2009 Presented at Lu, J. W. ed.Proceedings of 2nd International Symposium on Computational Mechanics (ISCM II), in conjunction with 12th International Conference on the Enhancement and Promotion of Computational Methods In Engineering and Science (EPMESC XII) , Macau, China, Vol. 2. AIP conference proceedings Vol. 1233. Melville, NY: American Institute of Physics pp. 1401-1405.
- Ahmad Akbari, R.et al. 2010. Analysis of thermoelastic waves in a two-dimensional functionally graded materials domain by the Meshless Local Petrov-Galerkin (MLPG) method. Computer Modeling in Engineering and Science 65(1), pp. 27-74.
- Bordas, S. P. A.et al. 2010. Recent advances towards reducing the meshing and re-meshing burden in computational sciences. In: Topping, B. H. V., Adam, J. M. and Pallares, F. J. eds. Computational technology reviews., Vol. 2. Saxe-Coburg Publications, pp. 51-82., (10.4203/ctr.2.3)
- Natarajan, S., Bordas, S. P. A. and Mahapatra, D. . R. 2010. On numerical integration of discontinuous approximations in partition of unity finite elements. Presented at: IUTAM Symposium on Multi-Functional Material Structures and Systems, Bangalore, India, 10-12 December 2008 Presented at Dattaguru, B., Gopalakrishnan, S. and Aatre, V. . K. eds.IUTAM Symposium on Multi-Functional Material Structures and Systems. IUTAM Bookseries Vol. 19. Dortrecht: Springer pp. 297-306., (10.1007/978-90-481-3771-8_30)
- Nadal, E.et al. 2010. Accurate stress recovery for the two dimension fixed grid finite element method. Presented at: 10th International Conference on Computational Structures Technology, Valencia, Spain, 14-17 September 2010 Presented at Topping, B. H. V. et al. eds.Proceedings of the Tenth International Conference on Computational Structures Technology, Stirlingshire, UK. Civil-Comp Proceedings Vol. 93. Stirling: Civil-Comp Press, (10.4203/ccp.93.256)
- Rabczuk, T., Bordas, S. P. A. and Askes, H. 2010. Meshfree methods for dynamic fracture. Computational Technology Reviews 1, pp. 157-185. (10.4203/ctr.1.6)
- Akbari Rahimabadi, A.et al. 2010. MLPG for thermo-mechanical wave propagation in functionally graded materials. Computer Modeling in Engineering and Science 73(4), pp. 331-355.

### 2009

- Natarajan, S., Bordas, S. P. A. and Mahapatra, D. R. 2009. Numerical integration over arbiturary polygonal domains based on Schwarz-Christoffel conformal mapping. International Journal for Numerical Methods in Engineering 80(1), pp. 103-134. (10.1002/nme.2589)
- Hung, N., Bordas, S. P. A. and Hung, N. 2009. Addressing volumetric locking and instabilities by selective integration in smoothed finite elements. Communications in Numerical Methods in Engineering 25(1), pp. 19-34. (10.1002/cnm.1098)
- Guo, Z.et al. 2009. A force-based large increment method for continuum elastoplastic problems. Presented at: Annual Conference of the Association of Computational Mechanics in Engineering 2009, Nottingham, UK.
- Margetts, L. and Bordas, S. P. A. 2009. Massively parallel implementation of the extended finite element method. Presented at: ASME Proceedings (IMECE 2009), Orlando, Florida, USA.
- Menk, A. and Bordas, S. P. A. 2009. Influence of the microstructure on the stress state of solder joints using thermal cycling. Presented at: Proceedings of EuroSimE 2009, Delft, The Netherlands.
- Natarajan, S.et al. 2009. The Smoothed Extended Finite Element Method. Presented at: 9th International Conference on Computational Structures Technology, Athens, Greece.
- Natarajan, S., Bordas, S. P. A. and Rabczuk, T. 2009. The smoothed extended finite element method for strong discontinuities. Presented at: 23rd Biennial Conference on Numerical Analysis, Glasgow, UK.
- Natarajan, S.et al. 2009. On the Smoothed Extended Finite Element Method for Continuum. Presented at: 17th UK Conference on Computational Mechanics (ACMEUK), Nottingham, UK.
- Nguyen, N.et al. 2009. A smoothed finite element method for the static and free vibration analysis of shells. Presented at: 18th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering, Weimar, Germany.
- Nguyen Xuan, H.et al. 2009. An ES-XFEM formulation for 2D fracture mechanics analysis. Presented at: German Association for Computational Mechanics (GACM), Hanover, Germany.
- Bordas, S. P. A. and Duflot, M. 2009. A posterirori error estimation for X-FEM, from academic to industrial applications. Presented at: National en Calcul des Structures, GIENS 2009, Giens, France.
- Bordas, S. P. A. and Natarajan, S. 2009. An analysis of the smoothed extended finite element method (SMXFEM). Presented at: ECCOMAS Thermal Conference extended finite element method XFEM 2009, Aachen, Germany.
- Bordas, S. P. A., Natarajan, S. and Dal Pont, S. 2009. Strain smoothing in the extended finite element method. Presented at: ASME 2009 American Society of Mechanical Engineers, Orlando, Florida.
- Bordas, S. P. A.et al. 2009. On smoothed extended finite elements. Presented at: Association of Computational Mechanics in Engineering 2009, Nottingham, UK.
- Bordas, S. P. A., Natarajan, S. and Rabczuk, T. 2009. Smoothed extended finite element methods for modeling discontinuities. Presented at: NACONF 23-rd Biennial Conference on Numerical Analysis, Glasgow, UK.
- Bordas, S. P. A.et al. 2009. Three-dimensional meshfree method without crack path continuity and near-tip enrichment for static and dynamic fracture. Presented at: Association of Computational Mechanics in Engineering (ACME-UK), 2009, Nottingham, UK.
- Cahill, L., McCarthy, C. and Bordas, S. P. A. 2009. The Extended Finite Element Method: A Review. Presented at: The Sixth International Conference on Engineering Computational Technology, Athens, Greece.
- Chen, L.et al. 2009. An ES-XFEM formulation for 2D fracture mechanics analysis. Presented at: German Association for Computational Mechanics (GACM2009), 21-23 September 2009, Hannover, Germany.
- Rabczuk, T., Bordas, S. P. A. and Zi, G. 2009. Meshfree methods for three-dimensional crack propagation in statics and dynamics without near-tip enrichment or crack-path continuity. Presented at: 23rd Biennial Conference on Numerical Analysis (NACONF2009), Glasgow, UK.
- Zhang, B.et al. 2009. First-principles studies on the structure of a new superhand hexagonal carbon phase. Presented at: 2nd International Symposium on Computational Mechanics (ISCM II), in conjunction with 12th International Conference on the Enhancement and Promotion of Computational Methods In Engineering and Science (EPMESC 12), Macao, China.
- Menk, A. and Bordas, S. P. A. 2009. Influence of the microstructure on the stress state of solder joints during thermal cycling. Presented at: EuroSimE 2009 10th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Micro-Systems, 2009, Delft, Netherlands, 26-29 April 200910th International Conference on Thermal, Mechanical and Multi-physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE) :proceedings of a meeting held 26-29 April 2009, Delft, Netherlands. Institute of Electrical and Electronics Engineers pp. 570-574.

### 2008

- Nguyen-Xuan, H.et al. 2008. A smoothed finite element method for plate analysis. Computer Methods in Applied Mechanics and Engineering 197(13-16), pp. 1184-1203. (10.1016/j.cma.2007.10.008)
- Bordas, S. P. A., Duflot, M. and Le, P. 2008. A simple error estimator for extended finite elements. Communications in Numerical Methods in Engineering 24(11), pp. 961-971. (10.1002/cnm.1001)
- Bordas, S. P. A., Rabczuk, T. and Zi, G. 2008. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. Engineering Fracture Mechanics 75(5), pp. 943-960. (10.1016/j.engfracmech.2007.05.010)
- Duddu, R.et al. 2008. A combined extended finite element and level set method for biofilm growth. International Journal for Numerical Methods in Engineering 74(5), pp. 848-870. (10.1002/nme.2200)
- Duflot, M. and Bordas, S. P. A. 2008. A posteriori error estimation for extended finite elements by an extended global recovery. International Journal for Numerical Methods in Engineering 76(8), pp. 1123-1138. (10.1002/nme.2332)
- Nguyen, V. P.et al. 2008. Meshless methods: A review and computer implementation aspects. Mathematics and Computers in Simulation 79(3), pp. 763-813. (10.1016/j.matcom.2008.01.003)
- Nguyen-Thanh, N.et al. 2008. A smoothed finite element method for shell analysis. Computer Methods in Applied Mechanics and Engineering 198(2), pp. 165-177. (10.1016/j.cma.2008.05.029)
- Nguyen-Xuan, H., Bordas, S. P. A. and Nguyen-Dang, H. 2008. Smooth finite element methods: Convergence, accuracy and properties. International Journal for Numerical Methods in Engineering 74(2), pp. 175-208. (10.1002/nme.2146)
- Rabczuk, T., Bordas, S. P. A. and Zi, G. 2008. On three-dimensional modelling of crack growth using partition of unity methods. Computers and Structures 88(23-24), pp. 1391-1411. (10.1016/j.compstruc.2008.08.010)
- Rabczuk, T.et al. 2008. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics 75(16), pp. 4740-4758. (10.1016/j.engfracmech.2008.06.019)

### 2007

- Bordas, S. P. A. and Duflot, M. 2007. Derivative recovery and a posteriori error estimate for extended finite elements. Computer Methods in Applied Mechanics and Engineering 196(35-36), pp. 3381-3399. (10.1016/j.cma.2007.03.011)
- Bordas, S. P. A.et al. 2007. A simulation-based design paradigm for complex cast components. Engineering with Computers 23(1), pp. 25-37. (10.1007/s00366-006-0030-1)
- Bordas, S. P. A.et al. 2007. An extended finite element library. International Journal for Numerical Methods in Engineering 71(6), pp. 703-732. (10.1002/nme.1966)
- Rabczuk, T., Bordas, S. P. A. and Zi, G. 2007. A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Computational Mechanics 40(3), pp. 473-495. (10.1007/s00466-006-0122-1)
- Bordas, S. P. A., Hoppe, R. H. W. and Petrova, S. I. 2007. Mechanical Failure in Microstructural Heterogeneous Materials. Lecture Notes in Computer Science 4310, pp. 533-541. (10.1007/978-3-540-70942-8_64)
- Dunand, C.et al. 2007. New trends in the development of the X-FEM, chapter architecture trade-offs including a mesher in an object-oriented extended finite element code. Hermes, Lavoisier.

### 2006

- Bordas, S. P. A. and Moran, B. 2006. Enriched finite elements and level sets for damage tolerance assessment of complex structures. Engineering Fracture Mechanics 73(9), pp. 1176-1201. (10.1016/j.engfracmech.2006.01.006)

### Contracts

Title | People | Sponsor | Value | Duration |
---|---|---|---|---|

Increased reliability relevant automatic crack growth simulation with the eXtend finite element method | Bordas SPA, Kerfriden P | Engineering and Physical Sciences Research Council | 574054 | 01/05/2010 - 30/04/2014 |

Surgical Simulation | Bordas S | Fujitsu | 63420 | 01/10/2013 - 30/09/2016 |

Collaborating for quality teaching and research in the area of computational mechanics | Bordas S | British Council | 3500 | 01/01/2013 - 31/12/2013 |

Impact award: Advanced discretisation strategies for "atomistic" nano CMOS simulation | Bordas S | EPSRC | 10000 | 01/01/2011 - 31/03/2011 |

Thermomechanical Concrete Durability | Bordas S P A | British Council | 1500 | 01/01/2010 - 31/12/2010 |

Integrating numerical simulation and geometric design technology (INSIST) | Bordas S, Kerfriden P, Simpson R, Kulasegaram S, Martin R, Langbein F (COMSC) | European Commission FP7 - Marie Curie Action (MCA) | 1201338 | 01/01/2012 - 31/12/2016 |

Advanced discretisation strategies for "atomistic" nano CMOS simulation feasibility study | Bordas SPA | Engineering and Physical Sciences Research Council | 129376 | 01/05/2010 - 30/04/2011 |

Strengthening the management of Research & Innovation in Higher Education Institutes: a model development workshop | Bordas SPA | Scottish Crucible 2009 | 3800 | 01/10/2009 - 30/09/2010 |

Towards the next generation surgical simulators | Bordas SPA | Royal Academy of Engineering/Leverhulme | 41766 | 31/10/2009 - 30/09/2010 |

ECCM Conference - Travel | Bordas SPA | The Royal Academy of Engineering | 600 | 16/05/2010 - 21/05/2010 |

REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery | Bordas SPA, Kerfriden P | Commission of European Communities | 1075164 | 01/01/2012 - 31/12/2016 |

MULTIscale methods for FRACture - MULTIFRAC - travel grant | Bordas SPA, Kerfriden P | The British Council - Germany | 3000 | 01/07/2010 - 30/06/2011 |

Sustainable domain-specific software generation tools for extremely parallel particle-based simulations | Bordas SPA, Kulasegaram S | EPSRC | 25586 | 01/10/2010 - 30/09/2013 |

### Supervised Students

Title | Student | Status | Degree |
---|---|---|---|

Error Controlled Adaptive Multiscale Method for Fracture in Polycrystalline Materials | RAHIMABADI Ahmed Akbari | Graduate | PhD |

Gradient Smoothing in Finite Elasticity: near-incompressibility | LEE Chang-Kye | Thesis Submitted | PhD |

Energy-minimizing multi-crack growth inlinear elastic fracture using the extended finite element method with application to Smart-Cut silicon wafer splitting | SUTULA Danas | Thesis Submitted | PhD |

Integrating Numerical Simulation And Geometric Design Technology (Insist) | ALVES PALADIM Daniel | Current | PhD |

Shape Optimisation Directly From CAD: An Isogeometric Boundary Element Approach | LIAN Haojie | Graduate | PhD |

COMPUTATIONAL AND PHYSICAL MODELS OF SKIN FOR SURGICAL TRAINING. | BRONIK Kevin | Current | PhD |

MULTISCALE BLOOD FLOW SIMULATION BY THE SMOOTHED PARTICLE HYDRODYNAMICS | AL SAAD Mohammed Khairullah Kadhim | Current | PhD |

Computaional Time Savings in Multiscale Fracture Mechanics Using Model Order Reduction | GOURY Olivier | Graduate | PhD |

Multiscale methods for fracture during dynamic impact. | YU Peng | Current | PhD |

Enriched Finite Element Methods: Advances and Applications. | NATARAJAN Sundararajan | Graduate | PhD |

Nonlinear Finite Element Analysis of Quasi-Brittle Materials | ALNAAS Waled Farj Jumma | Thesis Submitted | PhD |

Streamlining Computer Aided Design (CAD) and Computer Aided Engineering (CAE) pipeline | DU Xiaohan | Current | PhD |

Nanostructured materials. | LIN Xiude | Current | PhD |

Isogeometric Boundary Element Methods for Linear Elastic Fracture Mechanics | PENG Xuan | Thesis Submitted | PhD |