Professor Stephane Bordas

2024

• Chen, L. et al. 2024. Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering. Computer Methods in Applied Mechanics and Engineering 419, article number: 116654. (10.1016/j.cma.2023.116654)
• Krokos, V., Bordas, S. P. and Kerfriden, P. 2024. A graph-based probabilistic geometric deep learning framework with online enforcement of physical constraints to predict the criticality of defects in porous materials. International Journal of Solids and Structures 286-28, article number: 112545. (10.1016/j.ijsolstr.2023.112545)

2023

• Perney, A., Bordas, S. and Kerfriden, P. 2023. NURBS-based surface generation from 3D images: spectral construction and data-driven model selection. Journal of Computational Design and Engineering 10(4), pp. 1856-1867. (10.1093/jcde/qwad082)
• Goswami, M., Sharma, S., Roychowdhury, S., Bordas, S. P. and Chattopadhyay, S. 2023. Fracture of V-notched natural rubber composites used in heavy-duty tire tread. Engineering Failure Analysis 150, article number: 107358. (10.1016/j.engfailanal.2023.107358)
• Yu, P., Ren, Z., Chen, Z. and Bordas, S. P. A. 2023. A multiscale finite element model for prediction of tensile strength of concrete. Finite Elements in Analysis and Design 215, article number: 103877. (10.1016/j.finel.2022.103877)

2022

• Chen, L. L., Lian, H., Natarajan, S., Zhao, W., Chen, X. Y. and Bordas, S. P. A. 2022. Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Computer Methods in Applied Mechanics and Engineering 395, article number: 114997. (10.1016/j.cma.2022.114997)
• Agathos, K., Dodwell, T., Chatzi, E. and Bordas, S. P. 2022. An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems. Computer Methods in Applied Mechanics and Engineering 395, article number: 114937. (10.1016/j.cma.2022.114937)
• Yu, P., Bordas, S. P. A. and Kerfriden, P. 2022. Adaptive Isogeometric analysis for transient dynamics: Space-time refinement based on hierarchical a-posteriori error estimations. Computer Methods in Applied Mechanics and Engineering 394, article number: 114774. (10.1016/j.cma.2022.114774)
• Chen, L., Cheng, R., Li, S., Lian, H., Zheng, C. and Bordas, S. P. 2022. A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic-vibration interaction problems. Computer Methods in Applied Mechanics and Engineering 393, article number: 114784. (10.1016/j.cma.2022.114784)
• Krokos, V., Xuan, V. B., Bordas, S. P. A., Young, P. and Kerfriden, P. 2022. A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features. Computational Mechanics 69, pp. 733-766. (10.1007/s00466-021-02112-3)
• Chen, L. L., Lian, H., Liu, Z., Gong, Y., Zheng, C. J. and Bordas, S. P. A. 2022. Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM. Engineering Analysis with Boundary Elements 135, pp. 182-195. (10.1016/j.enganabound.2021.11.005)
• Lian, H., Chen, L., Lin, X., Zhao, W., Bordas, S. P. A. and Zhou, M. 2022. Noise pollution reduction through a novel optimization procedure in passive control methods. Computer Modeling in Engineering & Sciences 131(1), pp. 1-18. (10.32604/cmes.2022.019705)
• Peralta, P., Ruiz, R. O., Rappel, H. and Bordas, S. P. 2022. Electromechanical properties identification for groups of piezoelectric energy harvester based on Bayesian inference. Mechanical Systems and Signal Processing 162, article number: 108034. (10.1016/j.ymssp.2021.108034)
• Krokos, V., Bui Xuan, V., Bordas, S. and Kerfriden, P. 2022. A 3D Bayesian multiscale graph neural network framework to predict local stress fields in structures with microscale features. Presented at: 18th European Mechanics of Materials Conference, Oxford, England, 04-06 April 2022.

2021

• Dsouza, S. M., Varghese, T. M., Ooi, E. T., Natarajan, S. and Bordas, S. P. 2021. Treatment of multiple input uncertainties using the scaled boundary finite element method. Applied Mathematical Modelling 99, pp. 538-554. (10.1016/j.apm.2021.06.021)
• Bulle, R. et al. 2021. The human meniscus behaves as a functionally graded fractional porous medium under confined compression conditions. Applied Sciences 11(20), article number: 9405. (10.3390/app11209405)
• Agustoni, G., Maritz, J., Kennedy, J., Bonomo, F. P., Bordas, S. P. A. and Barrera, O. 2021. High resolution micro-computed tomography reveals a network of collagen channels in the body region of the knee meniscus. Annals of Biomedical Engineering 49, pp. 2273-2281. (10.1007/s10439-021-02763-6)
• Maritz, J., Agustoni, G., Dragnevski, K., Bordas, S. P. A. and Barrera, O. 2021. The functionally grading elastic and viscoelastic properties of the body region of the knee meniscus. Annals of Biomedical Engineering 49, pp. 2421-2429. (10.1007/s10439-021-02792-1)
• 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 122(16), pp. 4292-4312. (10.1002/nme.6703)
• Zeraatpisheh, M., Bordas, S. P. A. and Beex, L. A. A. 2021. Bayesian model uncertainty quantification for hyperelastic soft tissue models. Data-Centric Engineering 2, article number: e9. (10.1017/dce.2021.9)
• Hale, J. S., Schenone, E., Baroli, D., Beex, L. A. and Bordas, S. P. 2021. A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. Computer Methods in Applied Mechanics and Engineering 380, article number: 113723. (10.1016/j.cma.2021.113723)
• Ding, C., Tamma, K. K., Lian, H., Ding, Y., Dodwell, T. J. and Bordas, S. P. A. 2021. Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method. Computational Mechanics 67(5), pp. 1255-1271. (10.1007/s00466-020-01944-9)
• Dsouza, S. M., Khajah, T., Antoine, X., Bordas, S. P. A. and Natarajan, S. 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)
• Moradian, N. et al. 2021. Interdisciplinary approaches to COVID-19. In: Rezaei, N. ed. Coronavirus Disease - COVID-19., Vol. 1318. Advances in Experimental Medicine and Biology Springer Verlag, pp. 923-936., (10.1007/978-3-030-63761-3_52)

2020

• Chen, L., Zhang, Y., Lian, H., Atroshchenko, E., Ding, C. and Bordas, S. P. A. 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., Tamma, K. K., Cui, X., Ding, Y., Li, G. and Bordas, S. P. 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., Beex, L. A. A., Berke, P. Z., Massart, T. J. and Bordas, S. P. A. 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., Nguyen, T., Ambrosetti, A., Ruiz, K. S., Bordas, S. P. A. and Tkatchenko, A. 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., Suarez, C. A., Obeidat, A., Bordas, S. P. A. and Kulasegaram, S. 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)
• Krokos, V., Kerfriden, P., Young, P., Bui Xuan, V. and Bordas, S. 2020. Data-driven multiscale computational modelling in biomechanics using convolutional neural networks. Presented at: 14th World Congress in Computational Mechanics and ECCOMAS Congress 2020 (WCCM-ECCOMAS), Virtual, 11-15 January 2021.

2019

• Mohtarami, E., Baghbanan, A., Hashemolhosseini, H. and Bordas, S. P. 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., Lian, H., Liu, Z., Chen, H., Atroshchenko, E. and Bordas, S. 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., Maknun, I. J., Katili, A. M., Bordas, S. P. and Natarajan, S. 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., Bordas, S. P. A., Han, X., Wang, G. and Li, Z. X. 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)
• Bansal, M., Singh, I., Patil, R., Claus, S. and Bordas, S. 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)
• Ding, C., Deokar, R. R., Ding, Y., Li, G., Cui, X., Tamma, K. K. and Bordas, S. P. 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)
• Budarapu, P. R., Zhuang, X., Rabczuk, T. and Bordas, S. P. 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., Anitescu, C., Khajah, T., Bordas, S. P. and Atroshchenko, E. 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)
• Bansal, M., Singh, I., Mishra, B. and Bordas, S. 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)
• Francis, A., Natarajan, S., Atroshchenko, E., Lévy, B. and Bordas, S. P. 2019. A one point integration rule over star convex polytopes. Computers and Structures 215, pp. 43-64. (10.1016/j.compstruc.2019.01.001)
• Yang, J., Lian, H., Liang, W., Nguyen, V. P. and Bordas, S. P. 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., Zhu, H., Yuan, X., Wang, Z. and Bordas, S. 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., Beex, L., Noels, L. and Bordas, S. 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., Anitescu, C., Tomar, S., Bordas, S. P. A. and Kerfriden, P. 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., Ghazlan, A., Kashani, A., Bordas, S. and Ngo, T. 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., Lorenzi, S., Cammi, A., Baroli, D., Peters, B. and Bordas, S. 2018. A mass conservative Kalman filter algorithm for computational thermo-fluid dynamics. Materials 11(11), article number: 2222. (10.3390/ma11112222)
• Ortiz-Bernardin, A., Köbrich, P., Hale, J., Olate-Sanzana, E., Bordas, S. and Natarajan, S. 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., Tomar, S., Xu, G. and Bordas, S. P. A. 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., Tomar, S., Courtecuisse, H., Audette, M., Cotin, S. and Bordas, S. 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., Li, G., Sutula, D., Tian, S. and Bordas, S. 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., Tomar, S., Courtecuisse, H., Cotin, S. and Bordas, S. P. A. 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., Kerfriden, P., van Dam, T. and Bordas, S. 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., Kerfriden, P., van Dam, T. and Bordas, S. P. A. 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)
• Sutula, D., Kerfriden, P., van Dam, T. and Bordas, S. P. A. 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)
• Agathos, K., Ventura, G., Chatzi, E. and Bordas, S. P. A. 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., Natarajan, S., Bordas, S. P. A. and Palani, G. S. 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., Hale, J. S., Videla, J. A., Potapenko, S. and Bordas, S. P. A. 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., Lian, H., Rabczuk, T. and Bordas, S. P. A. 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., Zhou, G., Bordas, S. P. A., Xiang, C. and Cai, D. 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., Moitinho de Almeida, J. P., Bordas, S. P. A. and Kerfriden, P. 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)
• Lee, C., Mihai, L. A., Hale, J. S., Kerfriden, P. and Bordas, S. P. A. 2017. Strain smoothing for compressible and nearly-incompressible finite elasticity. Computers & Structures 182, pp. 540-555. (10.1016/j.compstruc.2016.05.004)
• Bourantas, G., Loukopoulos, V., Chowdhury, H., Joldes, G., Miller, K. and Bordas, S. 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)
• Peng, X., Atroshchenko, E., Kerfriden, P. and Bordas, S. P. A. 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)
• Wan, D., Hu, D., Natarajan, S., Bordas, S. P. and Yang, G. 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., Ortiz-Bernardin, A., Bordas, S. P. and Natarajan, S. 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., Atroshchenko, E., Kerfriden, P. and Bordas, S. P. A. 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., Kulasegaram, S., Wu, S. C. and Bordas, S. P. A. 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., González-Estrada, O., Pierard, O. and Bordas, S. 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., Bourantas, G. C., Labropoulos, D., Nikiforidis, V. M. G., Bordas, S. and Nikiforidis, G. C. 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., Amsallem, D., Bordas, S. P. A., Liu, W. K. and Kerfriden, P. 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., Beex, L. A. A., Diebels, S. and Bordas, S. P. A. 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., Anitescu, C., Bordas, S. P. A. and Rabczuk, T. 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., Chatzi, E., Bordas, S. . P. A. and Talaslidis, D. 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., Kerfriden, P., Khoo, B. C. and Bordas, S. P. A. 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., Kerfriden, P., Bordas, S. P. A., Muthu, J., Zi, G. and Rabczuk, T. 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., Nguyen-Xuan, H., Bordas, S. P. A., Nguyen-Thanh, N. and Rabczuk, T. 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., Li, G., Shah, S., Lamb, A. R. and Bordas, S. P. A. 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., Talebi, H., Ziaei-Rad, S., Kerfriden, P., Bordas, S. P. A. and Rabczuk, T. 2014. Stochastic modelling of clay/epoxy nanocomposites. Composite Structures 118, pp. 241-249. (10.1016/j.compstruct.2014.07.009)
• Nguyen, V. P., Kerfriden, P., Bordas, S. P. A. and Rabczuk, T. 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., Nguyen-Thanh, N., Nguyen-Xuan, H., Rabczuk, T., Bordas, S. and Limbert, G. 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., Hale, J. S., Yu, T., Quoc Bui, T. and Bordas, S. P. A. 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)
• Nguyen, V. P., Kerfriden, P., Brino, M., Bordas, S. P. A. and Bonisoli, E. 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)
• Budarapu, P. R., Gracie, R., Bordas, S. P. A. and Rabczuk, T. 2014. An adaptive multiscale method for quasi-static crack growth. Computational Mechanics 53(6), pp. 1129-1148. (10.1007/s00466-013-0952-6)
• Moumnassi, M., Bordas, S. P. A., Figueredo, R. and Sansen, P. 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)
• Gonzalez Estrada, O. A., Nadal, E., Ródenas, J. J., Kerfriden, P., Bordas, S. P. A. and Fuenmayor, F. J. 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)
• Talebi, H., Silani, M., Bordas, S. P. A., Kerfriden, P. and Rabczuk, T. 2014. A computational library for multiscale modeling of material failure. Computational Mechanics 53(5), pp. 1047-1071. (10.1007/s00466-013-0948-2)
• Akmar, A. B. I., Lahmer, T., Bordas, S. P. A., Beex, L. A. A. and Rabczuk, T. 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., Ferreira, A. J. M., Bordas, S. P. A., Carrera, E., Cinefra, M. and Zenkour, A. M. 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., Allard, J., Kerfriden, P., Bordas, S., Cotin, S. and Duriez, C. 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., Anitescu, C., Arroyo, M., Bordas, S. P. A. and Rabczuk, T. 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., Ferreira, A. J. M., Bordas, S. P. A., Rabczuk, T. and Nguyen-Xuan, H. 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., Natarajan, S., Bordas, S. P. A., O'Higgins, R. M. and McCarthy, C. T. 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)
• Natarajan, S., Kerfriden, P., Mahapatra, D. R. and Bordas, S. P. A. 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., Tran, L. V., Thai, C. H., Kulasegaram, S. and Bordas, S. P. A. 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.
• 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.

2013

• Natarajan, S., Ferreira, A. J. M., Bordas, S. P. A., Carrera, E. and Cinefra, M. 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., Silani, M., Bordas, S. P. A., Kerfriden, P. and Rabczuk, T. 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., Natarajan, S., Ródenas, J. J., Nguyen-Xuan, H. and Bordas, S. P. A. 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., Natarajan, S., Gonzalez Estrada, O. A., Rabczuk, T., Bui, T. Q. and Bordas, S. P. A. 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., Goury, O., Rabczuk, T. and Bordas, S. P. A. 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., Bordas, S. P. A., Lian, H. and Trevelyan, J. 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., Simpson, R. N., Evans, J. A., Lipton, S., Bordas, S. P. A., Hughes, T. J. R. and Sederberg, T. W. 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., Schmidt, K. M., Rabczuk, T. and Bordas, S. P. A. 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., Chakraborty, S., Thangavel, M., Bordas, S. P. A. and Rabczuk, T. 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., Bordas, S. P. A., Asenov, A. and Brown, A. R. 2012. Enriched residual free bubbles for semiconductor device simulation. Computational Mechanics 50(1), pp. 119-133. (10.1007/s00466-011-0658-6)
• Chen, L., Rabczuk, T., Bordas, S. P. A., Liu, G., Zeng, K. and Kerfriden, P. 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., Bordas, S. P. A., Trevelyan, J. and Rabczuk, T. 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., Ródenas, J. J., Bordas, S. P. A., Duflot, M., Kerfriden, P. and Giner, E. 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., Nguyen, H. V., Bordas, S. P. A., Rabczuk, T. and Duflot, M. 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., Guo, Z., Liu, X., Natarajan, S. and Bordas, S. P. A. 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., Natarajan, S., Bordas, S. P. A., O'Higgins, R., McHugh, P. and McCarthy, C. 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., Kerfriden, P., Margetts, L. and Bordas, S. P. A. 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., Bordas, S. P. A., Kerfriden, P. and Rabczuk, T. 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., Bordas, S. P. A., Trevelyan, J., Kerfriden, P. and Rabczuk, T. 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., Bordas, S. P. A., Trevelyan, J., Kerfriden, P. and Rabczuk, T. 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., Nguyen-Xuan, H., Bordas, S. P. A. and Rabczuk, T. 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., Baiz, P. M., Ganapathi, M., Kerfriden, P. and Bordas, S. P. A. 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., Gosselet, P., Adhikari, S. and Bordas, S. P. A. 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., Belouettar, S., Bechet, E., Bordas, S. P. A., Quoirin, D. and Potier-Ferry, M. 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., Natarajan, S., Kerfriden, P., Augarde, C. E., Mahapatra, D. R., Rabczuk, T. and Dal Pont, S. 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., Nguyen-Thanh, N., Nguyen-Xuan, H., Rabczuk, T. and Bordas, S. P. A. 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., Bordas, S. P. A., Kerfriden, P., Scrivener, K. L. and Rabczuk, T. 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., Pearce, C. J., Lanier, O., Simpson, R. N. and Bordas, S. P. A. 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., Natarajan, S., Bordas, S. P. A., Kerfriden, P. and Rabczuk, T. 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., Baiz, P., Bordas, S. P. A., Rabczuk, T. and Kerfriden, P. 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., Rabczuk, T., Nguyen-Xuan, H. and Bordas, S. A. 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., Baiz, P., Mahapatra, D. R., Rabczuk, T., Kerfriden, P. and Bordas, S. P. A. 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., Bordas, S. P. A., Trevelyan, J. and Kerfriden, P. 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., Kerfriden, P., Margetts, L. and Bordas, S. P. A. 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., Rodenas, J. J., Bordas, S. P. A. and Kerfriden, P. 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., Kerfriden, P., Rabczuk, T. and Bordas, S. P. A. 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., Nguyen Xuan, H., Bordas, S. P. A. and Rabczuk, T. 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., Nguyen Thanh, N., Nguyen Xuan, H., Nguyen-Thoi, T. and Bordas, S. P. A. 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., Nguyen-Xuan, H., Askes, H., Bordas, S. P. A., Rabczuk, T. and Nuguyen-Vinh, H. 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., Rabczuk, T., Nguyen-Xuan, H. and Bordas, S. P. A. 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., Rabczuk, T., Nguyen-Thanh, N., Nguyen-Thoi, T. and Bordas, S. P. A. 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., Zi, G., Bordas, S. P. A. and Nguyen-Xuan, H. 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., Gosselet, P., Adhikari, S., Bordas, S. P. A. and Passieux, J. C. 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., Mahapatra, D. R., Kerfriden, P. and Bordas, S. P. A. 2010. Numerical Methods for nonlocal elasticity and gradient elasticity. Presented at: European Conference on Computational Mechanics (ECCM-2010), Paris, France.
• Natarajan, S., Nguyen Xuan, H., Kerfriden, P., Mahapatra, D. R., Askes, H., Rabczuk, T. and Bordas, S. P. A. 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., N-X., H., Kerfriden, P., Mahapatra, D., Askes, H., Rabczuk, T. and Bordas, S. P. A. 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., Natarajan, S., Kerfriden, P., Bordas, S. P. A. and Rabczuk, T. 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., McCarthy, C., Bordas, S. P. A., Natarajan, S., Dal Pont, S. and Kerfriden, P. 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., Naatarajan, S., McCarthy, C. and Bordas, S. P. A. 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., Guo, Z. Y., Liu, X., Bordas, S. P. A. and Zhang, L. M. 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., Bagri, A. B., Bordas, S. P. A. and Rabczuk, T. 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., Rabczuk, T., Rodenas, J. J., Kerfriden, P., Moumnassi, M. and Belouettar, S. 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)
• Nadal, E., Bordas, S. P. A., Rodenas, J. J., Tarancon, J. E. and Tur, M. 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)
• 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)
• 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., Bagri, A., Rabczuk, T. and Bordas, S. P. A. 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., Long, D., Liu, X., Bordas, S. P. A. and L., Z. 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., Bordas, S. P. A., D., M. Q., Nguyen Xuan, H., Rabczuk, T., Cahill, L. and McCarthy, C. 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., Bordas, S. P. A., Rabczuk, T. and Guo, Z. 2009. On the Smoothed Extended Finite Element Method for Continuum. Presented at: 17th UK Conference on Computational Mechanics (ACMEUK), Nottingham, UK.
• Nguyen, N., Rabczuk, T., Nguyen Xuan, H. and Bordas, S. P. A. 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., Chen, L., Bordas, S. P. A., Rabczuk, T., Sundararajan, N., Dal Pont, S. and Zeng, K. Y. 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., Natarajan, S., Pont, D. and Rabczuk, T. 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., Rabczuk, T., Zi, G. and Natarajan, S. 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., Bordas, S. P. A., Nguyen Xuan, H., Rabczuk, T., Natarajan, S., Pont, S. D. and Zeng, K. Y. 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., Liang, Y., Guo, Z. and Bordas, S. P. A. 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., Rabczuk, T., Bordas, S. P. A. and Debongnie, J. F. 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., Bordas, S. P. A., Chopp, D. and Moran, B. 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., Rabczuk, T., Bordas, S. P. A. and Duflot, M. 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., Rabczuk, T., Nguyen-Xuan, H. and Bordas, S. P. A. 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., Zi, G., Bordas, S. P. A. and Nguten-Xuan, H. 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., Conley, J. G., Moran, B., Gray, J. and Nichols, E. 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., Nguyen, P., Dunant, C., Guidoum, A. and Nguyen-Dang, H. 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., Nguyen, V. P., Belgasmia, M., Bordas, S. P. A., Guidoum, A. and Nguyen, H. D. 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)