Dr Angela Mihai
Senior Lecturer in Applied Mathematics
 Email:
 mihaila@cardiff.ac.uk
 Telephone:
 +44 (0)29 2087 5570
 Location:
 M/2.14, 2nd Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG
Groups and teams
Research interests
 Mathematics of solid mechanics
 Mathematical modelling of soft materials
 Numerical analysis and scientific computing
Posdoc opportunity
A 2year PDRA position is available at Cardiff Mathematics, funded by EPSRC, to work with me on methodological advances and applications of uncertainty quantification in stochastic elasticity. The closing date for applications is 22 June 2019.
Career overview
I received my DPhil for research in numerical analysis from the University of Durham, UK, in 2005, then worked as a postdoctoral researcher at the Universities of Strathclyde, Cambridge, and Oxford, where I developed my expertise in nonlinear elasticity. I have been on the faculty of the School of Mathematics at Cardiff University since 2011, and a Senior Lecturer (equivalent to Associate Professor) in Applied Mathematics since 2016.
Honours and awards

Outstanding Contribution Award, Cardiff University, 2015
Professional memberships
 Faculty adviser, SIAMIMA Student Chapter at Cardiff University
Committees and reviewing
 Member, EPSRC Peer Review College
 Member, UKRI Future Leaders Peer Review College
 Associate Editor, Transactions of Mathematics and Its Applications
 Associate Editor, IMA Journal of Applied Mathematics
 Reviewer for a wide range of scientific journals
2019
 Mihai, L. A., Woolley, T. and Goriely, A. 2019. Likely chirality of stochastic anisotropic hyperelastic tubes. International Journal of NonLinear Mechanics 114, pp. 920. (10.1016/j.ijnonlinmec.2019.04.004)
 Mihai, L. A.et al. 2019. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Mathematics and Mechanics of Solids 24(7), pp. 20662082. (10.1177/1081286518811881)
 Mihai, L. A., Woolley, T. and Goriely, A. 2019. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society of London. Series A: Mathematical and Physical Sciences 377(2144), article number: 20180068. (10.1098/rsta.2018.0068)
 Wyatt, H.et al. 2019. Nonlinear scaling effects in the stiffness of soft cellular structures. Royal Society Open Science 6(1), article number: 181361.
 Mihai, L. A. 2019. Power in numbers: The rebel women of mathematics by Talithia Williams [Book Review]. London Mathematical Society Newsletter
 Mihai, A.et al. 2019. Likely oscillatory motions of stochastic hyperelastic solids. Transactions of Mathematics and Its Applications
2018
 Schweickert, E., Mihai, L. A. and Neff, P. 2018. Homogeneous Cauchy stress induced by nonhomogeneous deformations. Presented at: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, 1923 March 2018. Proceedings in Applied Mathematics and Mechanics (PAMM) Vol. 1. Wiley pp. 12., (10.1002/pamm.201800185)
 Safar, A. and Mihai, L. A. 2018. The nonlinear elasticity of hyperelastic models for stretchdominated cellular structures. International Journal of NonLinear Mechanics 106, pp. 144154. (10.1016/j.ijnonlinmec.2018.08.006)
 Mihai, L. A., Safar, A. and Wyatt, H. L. 2018. Debonding of cellular structures with fibrereinforced cell walls under shear deformation. Journal of Engineering Mathematics 109(1), pp. 319. (10.1007/s1066501698942)
 Mihai, L. A. and Neff, P. 2018. Hyperelastic bodies under homogeneous Cauchy stress induced by threedimensional nonhomogeneous deformations. Mathematics and Mechanics of Solids 23(4), pp. 606616. (10.1177/1081286516682556)
 Mihai, L. A., Woolley, T. and Goriely, A. 2018. Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Proceedings of the Royal Society A 474(2211), article number: 201708. (10.1098/rspa.2017.0858)
 Mihai, L. A.et al. 2018. Likely cavitation in stochastic elasticity. Journal of Elasticity (10.1007/s1065901897061)
2017
 Mihai, L. A. and Goriely, A. 2017. How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2207), article number: 607. (10.1098/rspa.2017.0607)
 Mihai, L. A.et al. 2017. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids 106, pp. 6079. (10.1016/j.jmps.2017.05.015)
 Mihai, L. A., Wyatt, H. and Goriely, A. 2017. A microstructurebased hyperelastic model for opencell solids. Siam Journal on Applied Mathematics 77(4), pp. 13971416. (10.1137/16M1098899)
 Safar, A., Wyatt, H. L. and Mihai, L. A. 2017. Debonding of cellular structures under shear deformation. Presented at: 25th Conference of the UK Association for Computational Mechanics, University of Birmingham, Birmingham, UK, 1113 April 2017.
 Mihai, L. A., Wyatt, H. L. and Goriely, A. 2017. Microstructurebased hyperelastic models for closedcell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2200), article number: 20170036. (10.1098/rspa.2017.0036)
 Lee, C.et al. 2017. Strain smoothing for compressible and nearlyincompressible finite elasticity. Computers & Structures 182, pp. 540555. (10.1016/j.compstruc.2016.05.004)
 Neff, P. and Mihai, L. A. 2017. Injectivity of the Cauchystress tensor along rankone connected lines under strict rankone convexity condition. Journal of Elasticity 127(2), pp. 309315. (10.1007/s106590169609y)
 Mihai, L. A. and Neff, P. 2017. Hyperelastic bodies under homogeneous Cauchy stress induced by nonhomogeneous finite deformations. International Journal of NonLinear Mechanics 89, pp. 93100. (10.1016/j.ijnonlinmec.2016.12.003)
 Mihai, L. A. 2017. The ascent of Mary Somerville in 19th century society by Elisabetta Strickland [Book Review]. London Mathematical Society Newsletter March(467), pp. 2930.
 Mihai, L. A., Alayyash, K. and Wyatt, H. L. 2017. The optimal density of cellular solids in axial tension. Computer Methods in Biomechanics and Biomedical Engineering 20(7), pp. 701713. (10.1080/10255842.2017.1292352)
 Wyatt, H. L.et al. 2017. Optical strain measurement techniques for soft cellular structures. Presented at: BSSM 12th International Conference on Advances in Experimental Mechanics, Sheffield, UK, 29  31 August 2017.
2016
 Wyatt, H. L.et al. 2016. Computer modelling of cellular structures under uniaxial loading. Presented at: 24th Conference of the UK Association on Computational Mechanics, Cardiff University, Cardiff, UK, 31 March  1 April 2016. Cardiff: pp. 184187.
 Mihai, L. A. and Goriely, A. 2016. Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Siam Journal on Applied Mathematics 76(4), pp. 15581576. (10.1137/15M1046563)
 Wyatt, H. L., Alayyash, K. and Mihai, L. A. 2016. Optimising material density of cellular bodies in high elastic deformations. Presented at: 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada, 2125 August 2016.
2015
 Mihai, L. A.et al. 2015. A comparison of hyperelastic constitutive models applicable to brain and fat tissues. Journal of the Royal Society Interface 12(10), pp. 112. (10.1098/rsif.2015.0486)
 Mihai, L. A., Alayyash, K. and Goriely, A. 2015. Paws, pads, and plants: The enhanced elasticity of cellfilled loadbearing structures. Proceedings of the Royal Society of London Series A 471(2178), article number: 20150107. (10.1098/rspa.2015.0107)
 Mihai, L. A. and Goriely, A. 2015. Finite deformation effects in cellular structures with hyperelastic cell walls. International Journal of Solids and Structures 53, pp. 107128. (10.1016/j.ijsolstr.2014.10.015)
2014
 Mihai, L. A. and Goriely, A. 2014. Nonlinear Poisson effects in soft honeycombs. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2169), article number: 20140363. (10.1098/rspa.2014.0363)
2013
 Mihai, L. A. 2013. Cardiff students hold first SIAM Chapter Day. SIAM News 2013(1 Apr)
 Mihai, L. A. and Goriely, A. 2013. Numerical simulation of shear and the Poynting effects by the finite element method: An application of the generalised empirical inequalities in nonlinear elasticity. International Journal of NonLinear Mechanics 49, pp. 114. (10.1016/j.ijnonlinmec.2012.09.001)
2011
 Mihai, L. A. and Goriely, A. 2011. Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467(2136), pp. 36333646. (10.1098/rspa.2011.0281)
2010
 Mihai, L. A. 2010. A fixedpoint approach to the limit load analysis of multibody structures with Coulomb friction. Computers & Structures 88(1314), pp. 859869. (10.1016/j.compstruc.2010.04.005)
2009
 Mihai, L. A. and Ainsworth, M. 2009. A finite element procedure for rigorous numerical enclosures on the limit load in the analysis of multibody structures. Computer Methods in Applied Mechanics and Engineering 199(14), pp. 4860. (10.1016/j.cma.2009.09.018)
 Mihai, L. A. and Ainsworth, M. 2009. An adaptive multiscale computational modelling of Clare College Bridge. Computer Methods in Applied Mechanics and Engineering 198(2126), pp. 18391847. (10.1016/j.cma.2008.12.030)
 Ainsworth, M. and Mihai, L. A. 2009. An adaptive multiscale approach to the modelling of masonry structures. International Journal for Numerical Methods in Engineering 78(10), pp. 11351163. (10.1002/nme.2520)
 Mihai, L. A. and Craig, A. W. 2009. Alternate slicebased substructuring in three dimensions. Ima Journal of Numerical Analysis 29(3), pp. 508538. (10.1093/imanum/drn023)
2007
 Ainsworth, M. and Mihai, L. A. 2007. Modeling and numerical analysis of masonry structures. Numerical Methods for Partial Differential Equations 23(4), pp. 798816. (10.1002/num.20253)
2006
 Ainsworth, M. and Mihai, L. A. 2006. A comparison of solvers for linear complementarity problems arising from largescale masonry structures. Applications of Mathematics 51(2), pp. 93128. (10.1007/s1049200600088)
 Mihai, L. A. and Craig, A. W. 2006. Alternate stripbased substructuring algorithms for elliptic PDEs in two dimensions. Ima Journal of Numerical Analysis 26(2), pp. 354380. (10.1093/imanum/dri025)
2005
 Mihai, L. A. and Craig, A. W. 2005. A twogrid alternate stripbased domain decomposition strategy in twodimensions. In: Kornhuber, R. et al. eds. Domain Decomposition Methods in Science and Engineering.. SpringerVerlag Berlin Heidelberg, pp. 661668., (10.1007/3540268251_71)
I am a fellow of the UK Higher Education Academy. My teaching at Cardiff University is in Applied Mathematics, and includes:
 Finite Elasticity (22 lectures + 11 example classes)
 MSc & Year 4 Mathematics
 Numerical Analysis (22 lectures + 6 example classes)
 Year 2 Mathematics
 Student projects
 MSc & Years 34 Mathematics
My research is in applied and computational mathematics at the interface with physical, engineering and life sciences. My primary expertise is in the mathematics of solid mechanics, including multiscale modelling, limit states analysis, optimisation, and uncertainty quantification. Important application fields include engineering, biomechanics, and materials science. For further details, please see my publications.
Recently Funded Projects
 Limit analysis of debonding states in multibody systems of stochastic hyperelastic material, EP/S028870/1 (2019  2022)
 Limit analysis of collapse states in cellular solids, EP/M011992/1 (2015  2017)
Mottoes to Selected Papers

"Denominetur motus talis, qualis omni momento temporis t praebet configurationem ca pacem aequilibrii corporis iisdem viribus massalibus sollicitati, ‘motus quasi aequilibratus’. Generatim motus quasi aequilibratus non congruet legibus dynamicis et proinde motus verus corporis fieri non potest, manentibus iisdem viribus masalibus.”  C. Truesdell (1962) (10.1093/imatrm/tnz003)

"The task of the theorist is to bring order into the chaos of the phenomena of nature, to invent a language by which a class of these phenomena can be described efficiently and simply."  C. Truesdell (1965) ((10.1098/rspa.2017.0607)
Research students
 Manal Alamoudi, DPhil student (2018  Present)
 Danielle Fitt, DPhil student (2018  Present)
 Alexander Safar, DPhil student (2015  Present)
 Dr Khulud Alayyash, DPhil student (2013  2017)
Postdoctoral researchers
 FORTHCOMING, Postdoctoral research associate, EP/S028870/1 (2019  2021)
 Dr Hayley Wyatt, Postdoctoral research associate, EP/M011992/1 (2015  2017)