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Yr Athro Angela Mihai
FIMA FLSW
Timau a rolau for Angela Mihai
Pennaeth Grŵp Mathemateg Gymhwysol a Chyfrifiadurol
Trosolwyg
Rwy'n aelod o'r Grŵp Ymchwil Mathemateg Gymhwysol a Chyfrifiadurol, y Tîm Ymchwil Mathemateg Arwahanol a Gwyddor Data, a'r Rhwydwaith Ymchwil Deunyddiau.
Rwy'n mwynhau llunio a datrys problemau mathemategol i ateb cwestiynau pwysig mewn gwyddoniaeth, peirianneg, a bywyd bob dydd. Mae hefyd yn rhoi pleser i mi ddarganfod dulliau mathemategol newydd a gofyn cwestiynau pellach ar hyd y ffordd. Llinell gyffrous iawn o fy ymholiad yw sut y gellir cyfieithu model neu dechneg fathemategol o un maes cymhwyso i'r llall. Mae'r mewnwelediadau rhyngddisgyblaethol y mae hyn yn dod â hyn bob amser yn ewarding iawn.
I ddysgu am ddatblygiad gwyddorau mathemategol ar gyfer darganfod, arloesi a'r economi, gweler Yr Ymgyrch dros Wyddorau Mathemategol (CaMS).
Cyhoeddiad
2025
- Poudel, R., Sengul Tezel, Y. and Mihai, L. 2025. Deformation localisation in viscoelastic liquid crystal elastomers. Presented at: UK Association for Computational Mechanics Conference 2025, London, UK, 23-25 April 2025.
- Liu, Y., Goriely, A. and Mihai, L. A. 2025. Elephant trunk wrinkles: A mathematical model of function and form. Nonlinearity 38(3), article number: 35004. (10.1088/1361-6544/adaf6c)
2024
- Poudel, R., Sengul, Y. and Mihai, L. A. 2024. Deformation localisation in stretched liquid crystal elastomers. Mechanics of Soft Materials 6, article number: 8. (10.1007/s42558-024-00063-2)
- Mihai, L. A. and Goriely, A. 2024. Controllable deformations of unconstrained ideal nematic elastomers. Journal of Elasticity 156(1), pp. 95-106. (10.1007/s10659-023-10038-5)
- Mihai, L. A. 2024. A theoretical model for power generation via liquid crystal elastomers. Mathematics and Mechanics of Solids 29(6), pp. 1198-1215. (10.1177/10812865231193735)
- Mihai, L. A. 2024. A mathematical mechanics mixed tape: Editor's foreword to special issue in honor of Alain Goriely. Mathematics and Mechanics of Solids 29(6), pp. 1049-1052. (10.1177/10812865231210188)
- Mahardika, N., Raistrick, T., Mihai, L. A. and Wang, H. 2024. All-atom molecular dynamics simulations of nematic liquid crystal elastomers. International Journal of Solids and Structures 291, article number: 112717. (10.1016/j.ijsolstr.2024.112717)
2023
- Mihai, L. A. 2023. A theoretical liquid crystal elastomer model that mimics the elasticity of cat skin. Mechanics of soft materials 5, article number: 4. (10.1007/s42558-023-00051-y)
- 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 50(7-10), pp. 1426-1438. (10.1080/02678292.2022.2161655)
- Mihai, L. A., Gablier, A., Terentjev, E. and Goriely, A. 2023. Anti-Hertz bulging of actuated liquid crystal elastomers. Extreme Mechanics Letters 64, article number: 102066. (10.1016/j.eml.2023.102066)
- Goriely, A., Moulton, D. E. and Mihai, L. A. 2023. A rod theory for liquid crystalline elastomers. Journal of Elasticity 153, pp. 509-532. (10.1007/s10659-021-09875-z)
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)
- 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.
- 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.
- 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)
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.
- 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.
- 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)
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 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)
- 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 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)
- 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)
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
- 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)
- 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)
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)
Adrannau llyfrau
- 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)
Cynadleddau
- Poudel, R., Sengul Tezel, Y. and Mihai, L. 2025. Deformation localisation in viscoelastic liquid crystal elastomers. Presented at: UK Association for Computational Mechanics Conference 2025, London, UK, 23-25 April 2025.
- 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., 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.
- 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.
- 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.
- 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.
Erthyglau
- Liu, Y., Goriely, A. and Mihai, L. A. 2025. Elephant trunk wrinkles: A mathematical model of function and form. Nonlinearity 38(3), article number: 35004. (10.1088/1361-6544/adaf6c)
- Poudel, R., Sengul, Y. and Mihai, L. A. 2024. Deformation localisation in stretched liquid crystal elastomers. Mechanics of Soft Materials 6, article number: 8. (10.1007/s42558-024-00063-2)
- Mihai, L. A. and Goriely, A. 2024. Controllable deformations of unconstrained ideal nematic elastomers. Journal of Elasticity 156(1), pp. 95-106. (10.1007/s10659-023-10038-5)
- Mihai, L. A. 2024. A theoretical model for power generation via liquid crystal elastomers. Mathematics and Mechanics of Solids 29(6), pp. 1198-1215. (10.1177/10812865231193735)
- Mihai, L. A. 2024. A mathematical mechanics mixed tape: Editor's foreword to special issue in honor of Alain Goriely. Mathematics and Mechanics of Solids 29(6), pp. 1049-1052. (10.1177/10812865231210188)
- Mahardika, N., Raistrick, T., Mihai, L. A. and Wang, H. 2024. All-atom molecular dynamics simulations of nematic liquid crystal elastomers. International Journal of Solids and Structures 291, article number: 112717. (10.1016/j.ijsolstr.2024.112717)
- Mihai, L. A. 2023. A theoretical liquid crystal elastomer model that mimics the elasticity of cat skin. Mechanics of soft materials 5, article number: 4. (10.1007/s42558-023-00051-y)
- 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 50(7-10), pp. 1426-1438. (10.1080/02678292.2022.2161655)
- Mihai, L. A., Gablier, A., Terentjev, E. and Goriely, A. 2023. Anti-Hertz bulging of actuated liquid crystal elastomers. Extreme Mechanics Letters 64, article number: 102066. (10.1016/j.eml.2023.102066)
- Goriely, A., Moulton, D. E. and Mihai, L. A. 2023. A rod theory for liquid crystalline elastomers. Journal of Elasticity 153, pp. 509-532. (10.1007/s10659-021-09875-z)
- 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)
- 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)
- 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)
- 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.
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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 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)
- 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)
- 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)
- 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)
- 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)
Llyfrau
- 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)
- 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)
Ymchwil
Mae gen i ddiddordebau ymchwil eang mewn mathemateg gymhwysol a chyfrifiadurol yn y rhyngwyneb â'r gwyddorau ffisegol a naturiol. Mae fy arbenigedd mewn mecaneg solet sylfaenol a'r ddealltwriaeth fathemategol o ddeunyddiau meddal, gan gynnwys modelu aml-raddfa, dadansoddi cyflwr terfyn, optimeiddio, a meintioli ansicrwydd.
Arweiniais brosiectau ymchwil a ariennir yn allanol ar solidau cellog a systemau aml-gorff gyda chymwysiadau i feinweoedd biolegol a mater meddal, a gwnaeth gyfraniadau at elastigedd stocastig, sy'n faes sy'n datblygu'n gyflym ar flaen y gad o ran ymchwil rhyngddisgyblaethol mewn mecaneg continwwm. Fy monograff ymchwil, "Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory", Springer (2022) yw'r llyfr cyntaf i gyfuno elastigedd straen mawr sylfaenol a thebygolrwydd damcaniaid. Ei nod yw gwneud y ddwy ddamcaniaeth yn hygyrch i wyddonwyr sy'n dymuno ymgorffori meintioli ansicrwydd mewn astudiaethau ffenomenolegol o ddeunyddiau meddal. Mae'n llyfr modern sy'n ymdrin â phynciau ymchwil clasurol a mwy datblygedig.
Maes pwysig o fy ngwaith yw modelu mathemategol elastomerau crisial hylif (LCEs). Mae'r rhain yn ddeunyddiau amlswyddogaethol datblygedig sy'n cyfuno elastigedd â threfn gyfeiriadol. Yn benodol, mae straen mecanyddol yn arwain at newidiadau mewn trefn grisialog hylif ac mae newidiadau yn y drefn gyfeiriadedd yn cynhyrchu straen a straen mecanyddol. Oherwydd eu hymatebion materol cymhleth ym mhresenoldeb ysgogiadau naturiol fel gwres, golau, meysydd trydanol neu magnetig, mae LCEs yn addas ar gyfer ystod eang o gymwysiadau mewn gwyddoniaeth, gweithgynhyrchu ac ymchwil feddygol. Mae'r gwaith hwn yn darparu sylfaen ar gyfer modelu mathemategol pellach o hunan-drefnu mewn mater biolegol gweithredol.
Ewch i Google Scholar, MathSciNet, ORCID, ResearchGate a zbMath.
Prosiectau a ariennir
- Dysgu modelau macrosgopig ar gyfer systemau aml-gorff o ddeunyddiau hyperelastig, Canolfan Ryngwladol y Gwyddorau Mathemategol (ICMS), Caeredin (2024), Ymchwil mewn grwpiau a gefnogir gan EPSRC Grant EP/R015007/1 i ICMS
- Ffurfio patrwm mewn deunyddiau meddal: modelau llai a dadansoddiad aflinol, Cymrodoriaeth Ôl-ddoethurol HORIZON-MSCA-2022 i Dr Yang Liu, Prifysgol Rhydychen, y DU (2023 - 2025)
- Meintioli ansicrwydd a modelu stocastig deunyddiau, Sefydliad Gwyddorau Mathemategol Issac Newton, Caergrawnt (2023), Rhaglen ymchwil a gefnogir gan EPSRC Grant EP/R014604/1 i INI
- Modelu mathemategol a dadansoddiad rhifiadol o elastomerau crisial hylifol, ysgoloriaeth PhD llawn, Coleg y Gwyddorau Ffisegol a Pheirianneg, Prifysgol Caerdydd (2022 - 2026)
- Dadansoddiad terfyn o gyflyrau dadbondio mewn systemau aml-gorff o ddeunydd hyperelastig stocastig, Grant EPSRC EP / S028870 / 1 (2019 - 2022)
- Datgysylltu ac ymestyn strwythurau cellog biogenig, ysgoloriaeth PhD llawn, Coleg y Gwyddorau Ffisegol a Pheirianneg, Prifysgol Caerdydd (2015 - 2019)
- Dadansoddiad terfyn o gyflyrau cwympo mewn solidau cellog, Grant EPSRC EP / M011992 / 1 (2015 - 2017)
Trefnu digwyddiadau arbennig
- Enciliad i fenywod mewn mathemateg gymhwysol, Canolfan Ryngwladol y Gwyddorau Mathemategol (ICMS), Caeredin (2025), Gweithdy strategol gyda chefnogaeth EPSRC Grant EP/Z000467/1 i ICMS
- Enciliad i fenywod mewn mathemateg gymhwysol, Canolfan Ryngwladol y Gwyddorau Mathemategol (ICMS), Caeredin (2024), Gweithdy strategol gyda chefnogaeth EPSRC Grant EP/R015007/1 i ICMS
- Enciliad i fenywod mewn mathemateg gymhwysol, Canolfan Ryngwladol y Gwyddorau Mathemategol (ICMS), Caeredin (2023), Gweithdy strategol wedi'i sefydlu gan EPSRC Grant EP/R015007/1 i ICMS
Recordiadau fideo
- Elastomers crisial hylifol: theori a chymwysiadau, Canolfan Ryngwladol y Gwyddorau Mathemategol (Ionawr 2024)
- Meintioli ansicrwydd a modelu stocastig deunyddiau: Cyfweliad trefnydd, Sefydliad Isaac Newton (Awst 2023)
- Ansefydlogrwydd mewn elastomers crisial hylifol, Sefydliad Isaac Newton (Gorffennaf 2023)
- Mathemateg a mecaneg elastomerau crisial hylifol, Journal of Engineering Mathematics Webinar (Hydref 2022)
- Mathemateg a mecaneg elastomerau crisial hylifol, Seminar Mathemateg Gymhwysol a Chyfrifiadurol Caerdydd (Tachwedd 2021)
- Mathemateg a mecaneg continwwm elastomerau crisial hylifol, LMS Prospects mewn Mathemateg (Medi 2021)
- Menywod mewn STEM, Caerdydd (Mawrth 2017)
Delwedd clawr
- Efelychiad dynameg moleciwlaidd o elastomerau crisial hylifol, Trafodion y Gymdeithas Frenhinol A 477, rhifyn 2253, Medi 2021
Swyddi blog ECMI
- Trosi Ynni Electromecanyddol trwy Elastomers Crystal Hylif (Hydref 2024)
Addysgu
Rwy'n gymrawd o Academi Addysg Uwch y DU. Dros y blynyddoedd, rwyf wedi cyfrannu at ddatblygiad proffesiynol llawer o bobl ifanc trwy addysgu, goruchwylio, cydweithio a mentora.
Cyrsiau a addysgir
- Dulliau Mathemateg Gymhwysol
- Mathemateg Blwyddyn 3 (o 2025)
- Cyflwyniad i Modelu Mathemategol Elastomerau Crisial Hylif
- Mathemateg lefel PhD (2023 - 2024)
- Dadansoddiad Rhifiadol
- Mathemateg Blwyddyn 2 (2013 - 2024)
- Elastigedd cyfyngedig
- Mathemateg Blwyddyn 3 (2020 - 2022)
- MSc a Mathemateg Blwyddyn 4 (2015 - 2020)
- Mecaneg Glasurol
- Mathemateg Blwyddyn 1 (2012 - 2017)
Rwy'n cynnig amrywiaeth o brosiectau i fyfyrwyr israddedig blwyddyn olaf ac i fyfyrwyr blwyddyn 12 ar Raglen Lleoliadau a Phrofiadau Ymchwil Nuffield.
Bywgraffiad
Trosolwg gyrfa
Dechreuais fy nhaith fathemategol fel myfyriwr israddedig ym Mhrifysgol Bucharest, Romania. Yn ddiweddarach fe wnes i barhau â'm hastudiaethau gyda Rhan III o'r Tripos Mathemategol ym Mhrifysgol Caergrawnt, y DU, a ariannwyd gan Ysgoloriaeth Canmlwyddiant Shell llawn a ddyfarnwyd gan Shell Group ac Ymddiriedolaeth Prifysgol Caergrawnt. Yn 2005, enillais fy PhD am ymchwil mewn dadansoddi rhifiadol o Brifysgol Durham, y DU. Yna ehangais fy arbenigedd fel ymchwilydd ôl-ddoethurol ym Mhrifysgolion Strathclyde, Caergrawnt, a Rhydychen, gan ganolbwyntio ar fathemategwyr a mecaneg solidau, lle roedd angen i fathemategwyr arbenigo yn y maes rhyngddisgyblaethol allweddol hwn. Ymunais â Phrifysgol Caerdydd fel Darlithydd yn 2011 a symud ymlaen yn raddol i'm rôl academaidd bresennol.
Anrhydeddau a dyfarniadau
- Cymrawd Cymdeithas Ddysgedig Cymru (2025)
- Gwobr Gwasanaeth Awdur am Gyfraniadau Golygyddol i Journal of Elasticity, Springer Nature (2025)
- Cymrawd y Sefydliad Mathemateg a'i Gymwysiadau (2024)
- Gwobr Cyfraniad Eithriadol Prifysgol Caerdydd (2015)
Aelodaethau proffesiynol
- Cymdeithas Mathemateg Ddiwydiannol a Chymhwysol (SIAM)
- Is-lywydd Adran SIAM-UKIE (2023 - 2025)
- Ysgrifennydd a Thrysorydd Adran SIAM-UKIE (2014 - 2016)
- Cambridge yn cynnal Cyfarfod Pen-blwydd 20 o Adran SIAM UKIE (2016)
- Cyfryngau Newydd SIAM-UKIE i helpu i gynyddu effaith gweithgareddau'r Aelodau yn y gymuned ehangach (2014)
- Cynghorydd Cyfadran Pennod Myfyrwyr SIAM-IMA ym Mhrifysgol Caerdydd
- Cynhadledd Genedlaethol Pennod Myfyrwyr SIAM-UKIE (2024)
- Myfyrwyr Caerdydd yn cynnal Diwrnod Pennod SIAM Cyntaf (2013)
- Y Gymdeithas Ryngwladol ar gyfer Rhyngweithio Mecaneg a Mathemateg (ISIMM)
- Cymdeithas Crystal Hylif Prydain (BLCS)
Pwyllgorau ac adolygu
- Golygydd Cyswllt
- Aelod o'r Bwrdd Cynghori Golygyddol
- Aelod o'r Bwrdd Golygyddol
- Mecaneg Deunyddiau Meddal (Springer)
- Gwasanaethau Cynghorau Ymchwil
Meysydd goruchwyliaeth
Ymchwilwyr ôl-ddoethurol
- Dr Yang Liu, Cymrawd ymchwil, HORIZON-MSCA-2022 (2023-2025)
- Dr Thomas Raistrick, Cydymaith Ymchwil, EP/S028870/1 (2022)
- Dr Maciej Buze, Cydymaith Ymchwil, EP/S028870/1 (2019 - 2022)
- Dr Hayley Wyatt, Cydymaith Ymchwil, EP/M011992/1 (2015 - 2017)
Goruchwyliaeth gyfredol
Prosiectau'r gorffennol
- Dr Manal Alamoudi, traethawd ymchwil PhD (2018 - 2022)
- Dr Danielle Fitt, traethawd ymchwil PhD (2018 - 2021)
- Dr Alexander Safar, traethawd ymchwil PhD (2015 - 2019)
- Dr Khulud Alayyash, traethawd ymchwil PhD (2013 - 2017)
Contact Details
Abacws, Ystafell 5.14, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
Themâu ymchwil
Arbenigeddau
- Mathemateg gymhwysol
- Modelu deunyddiau
- Cyfrifiadura gwyddonol
- Mater meddal
