Dr Angela Mihai

2023

• Mihai, L. A., Raistrick, T., Gleeson, H. F., Mistry, D. and Goriely, A. 2023. A predictive theoretical model for stretch-induced instabilities in liquid crystal elastomers. Liquid Crystals (10.1080/02678292.2022.2161655)

2022

• Mihai, L. A., Mistry, D., Raistrick, T., Gleeson, H. F. and Goriely, A. 2022. A mathematical model for the auxetic response of liquid crystal elastomers. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, article number: 20210326. (10.1098/rsta.2021.0326)
• Buze, M., Woolley, T. E. and Mihai, L. A. 2022. A stochastic framework for atomistic fracture. SIAM Journal on Applied Mathematics 82(2), pp. 526-548. (10.1137/21M1416436)
• Goriely, A., Moulton, D. E. and Mihai, L. A. 2022. A rod theory for liquid crystalline elastomers. Journal of Elasticity (10.1007/s10659-021-09875-z)
• Mihai, L. A. 2022. Stochastic elasticity: a nondeterministic approach to the nonlinear field theory. Interdisciplinary Applied Mathematics. Switzerland: Springer. (10.1007/978-3-031-06692-4)

2021

• Mihai, L. A. and Goriely, A. 2021. Instabilities in liquid crystal elastomers. MRS Bulletin 46, pp. 784-794. (10.1557/s43577-021-00115-2)
• Mihai, L. A., Wang, H., Guilleminot, J. and Goriely, A. 2021. Nematic liquid crystalline elastomers are aeolotropic materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477(2253), article number: 20210259. (10.1098/rspa.2021.0259)
• Goriely, A. and Mihai, L. A. 2021. Liquid crystal elastomers wrinkling. Nonlinearity 34(8), article number: 5599. (10.1088/1361-6544/ac09c1)
• Mihai, L. A. and Alamoudi, M. 2021. Likely oscillatory motions of stochastic hyperelastic spherical shells and tubes. International Journal of Non-Linear Mechanics 130, article number: 103671. (10.1016/j.ijnonlinmec.2021.103671)

2020

• Mihai, L. A. and Goriely, A. 2020. A plate theory for nematic liquid crystalline solids. Journal of the Mechanics and Physics of Solids 144, article number: 104101. (10.1016/j.jmps.2020.104101)
• Mihai, L. A. and Goriely, A. 2020. A pseudo-anelastic model for stress softening in liquid crystal elastomers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476(2243), article number: 20200558. (10.1098/rspa.2020.0558)
• Mihai, L. A. and Goriely, A. 2020. Likely striping in stochastic nematic elastomers. Mathematics and Mechanics of Solids 25(10), pp. 1851-1872. (10.1177/1081286520914958)
• Mihai, L. A., Woolley, T. and Goriely, A. 2020. Likely cavitation and radial motion of stochastic elastic spheres. Nonlinearity 33(5), article number: 1987. (10.1088/1361-6544/ab7104)
• Schweickert, E., Mihai, L. A., Martin, R. J. and Neff, P. 2020. A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticity. International Journal of Non-Linear Mechanics 119, article number: 103282. (10.1016/j.ijnonlinmec.2019.103282)

2019

• Fitt, D., Wyatt, H., Woolley, T. and Mihai, L. A. 2019. Uncertainty quantification of elastic material responses: testing, stochastic calibration and Bayesian model selection. Mechanics of Soft Materials 1, article number: 13. (10.1007/s42558-019-0013-1)
• Mihai, L. A. 2019. Power in numbers: The rebel women of mathematics by Talithia Williams [Book Review]. London Mathematical Society Newsletter 485, pp. 49-50.
• Mihai, L. A., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely cavitation in stochastic elasticity. Journal of Elasticity 137(1), pp. 27-42. (10.1007/s10659-018-9706-1)
• Mihai, L. A., Woolley, T. and Goriely, A. 2019. Likely chirality of stochastic anisotropic hyperelastic tubes. International Journal of Non-Linear Mechanics 114, pp. 9-20. (10.1016/j.ijnonlinmec.2019.04.004)
• Mihai, L. A., Fitt, D., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of stochastic hyperelastic spherical shells and tubes. Mathematics and Mechanics of Solids 24(7), pp. 2066-2082. (10.1177/1081286518811881)
• Mihai, L. A., Woolley, T. E. and Goriely, A. 2019. Likely equilibria of the stochastic Rivlin cube. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377(2144), article number: 20180068. (10.1098/rsta.2018.0068)
• Mihai, L., Fitt, D., Woolley, T. and Goriely, A. 2019. Likely oscillatory motions of stochastic hyperelastic solids. Transactions of Mathematics and Its Applications 3(1), article number: tnz003. (10.1093/imatrm/tnz003)
• Wyatt, H., Safar, A., Clarke, A., Evans, S. and Mihai, L. A. 2019. Nonlinear scaling effects in the stiffness of soft cellular structures. Royal Society Open Science 6(1), article number: 181361.

2018

• Schweickert, E., Mihai, L. A. and Neff, P. 2018. Homogeneous Cauchy stress induced by non-homogeneous deformations. Presented at: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, 19-23 March 2018. Proceedings in Applied Mathematics and Mechanics (PAMM) Vol. 1. Wiley pp. 1-2., (10.1002/pamm.201800185)
• Safar, A. and Mihai, L. A. 2018. The nonlinear elasticity of hyperelastic models for stretch-dominated cellular structures. International Journal of Non-Linear Mechanics 106, pp. 144-154. (10.1016/j.ijnonlinmec.2018.08.006)
• Mihai, L. A., Safar, A. and Wyatt, H. L. 2018. Debonding of cellular structures with fibre-reinforced cell walls under shear deformation. Journal of Engineering Mathematics 109(1), pp. 3-19. (10.1007/s10665-016-9894-2)
• Mihai, L. A. and Neff, P. 2018. Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations. Mathematics and Mechanics of Solids 23(4), pp. 606-616. (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)

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., Budday, S., Holzapfel, G., Kuhl, E. and Goriely, A. 2017. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids 106, pp. 60-79. (10.1016/j.jmps.2017.05.015)
• Mihai, L. A., Wyatt, H. and Goriely, A. 2017. A microstructure-based hyperelastic model for open-cell solids. SIAM Journal on Applied Mathematics 77(4), pp. 1397-1416. (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, 11-13 April 2017.
• Mihai, L. A., Wyatt, H. L. and Goriely, A. 2017. Microstructure-based hyperelastic models for closed-cell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2200), article number: 20170036. (10.1098/rspa.2017.0036)
• 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)
• Neff, P. and Mihai, L. A. 2017. Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition. Journal of Elasticity 127(2), pp. 309-315. (10.1007/s10659-016-9609-y)
• Mihai, L. A. and Neff, P. 2017. Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformations. International Journal of Non-Linear Mechanics 89, pp. 93-100. (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. 29-30.
• 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. 701-713. (10.1080/10255842.2017.1292352)
• Wyatt, H. L., Clarke, A., Evans, S. L. and Mihai, L. A. 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., Alayyash, K., Evans, S. L. and Mihai, L. A. 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. 184-187.
• 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. 1558-1576. (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, 21-25 August 2016.

2015

• Mihai, L. A., Chin, L., Janmey, P. A. and Goriely, A. 2015. A comparison of hyperelastic constitutive models applicable to brain and fat tissues. Journal of the Royal Society Interface 12(110), pp. -., article number: 20150486. (10.1098/rsif.2015.0486)
• Mihai, L. A., Alayyash, K. and Goriely, A. 2015. Paws, pads, and plants: The enhanced elasticity of cell-filled load-bearing 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. 107-128. (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 non-linear elasticity. International Journal of Non-Linear Mechanics 49, pp. 1-14. (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. 3633-3646. (10.1098/rspa.2011.0281)

2010

• Mihai, L. A. 2010. A fixed-point approach to the limit load analysis of multibody structures with Coulomb friction. Computers & Structures 88(13-14), pp. 859-869. (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(1-4), pp. 48-60. (10.1016/j.cma.2009.09.018)
• Mihai, L. A. and Ainsworth, M. 2009. An adaptive multi-scale computational modelling of Clare College Bridge. Computer Methods in Applied Mechanics and Engineering 198(21-26), pp. 1839-1847. (10.1016/j.cma.2008.12.030)
• Ainsworth, M. and Mihai, L. A. 2009. An adaptive multi-scale approach to the modelling of masonry structures. International Journal for Numerical Methods in Engineering 78(10), pp. 1135-1163. (10.1002/nme.2520)
• Mihai, L. A. and Craig, A. W. 2009. Alternate slice-based substructuring in three dimensions. Ima Journal of Numerical Analysis 29(3), pp. 508-538. (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. 798-816. (10.1002/num.20253)

2006

• Ainsworth, M. and Mihai, L. A. 2006. A comparison of solvers for linear complementarity problems arising from large-scale masonry structures. Applications of Mathematics 51(2), pp. 93-128. (10.1007/s10492-006-0008-8)
• Mihai, L. A. and Craig, A. W. 2006. Alternate strip-based substructuring algorithms for elliptic PDEs in two dimensions. Ima Journal of Numerical Analysis 26(2), pp. 354-380. (10.1093/imanum/dri025)

2005

• Mihai, L. A. and Craig, A. W. 2005. A two-grid alternate strip-based domain decomposition strategy in two-dimensions. In: Kornhuber, R. et al. eds. Domain Decomposition Methods in Science and Engineering. Springer-Verlag Berlin Heidelberg, pp. 661-668., (10.1007/3-540-26825-1_71)