0508975 20240103222624.320190930235959.9 85067794662 000486834200016 10.1177/1081286519851554 37 s. P cav_un_epca*02542741081-28652411 (2019)3644-3673Sage nonlinear elasticity global injectivity local injectivity nonsimple materials Ciarlet-Necas-condition approximation cav_un_auth*0359168 Krömer Stefan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory DE Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/kromer-0508975.pdf https://journals.sagepub.com/doi/10.1177/1081286519851554 cav_un_auth*0365435 GA18-03834S GA ČR We present a new penalty term approximating the Ciarlet-Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple materials including a suitable higher order term in the elastic energy, we prove that the penalized functionals converge to the original functional subject to the Ciarlet-Nečas condition. Moreover, the penalization can be chosen in such a way that for all low energy deformations, self-interpenetration is completely avoided already at all sufficiently small finite values of the penalization parameter. We also present numerical experiments in 2d illustrating our theoretical results. WOS BA 10000 10100 10102 2020 RVO:67985556 http://hdl.handle.net/11104/0299806 S 3+4 Proceedings Paper Engineering Biomedical|Radiology Nuclear Medicine Medical Imaging C MATERIALSSCIENCE.MULTIDISCIPLINARY|MECHANICS|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 1.956 0.748 3.7 0.00265 0.492 1467 57 0.626 39.54 2.03 632 Q2 1.713 218 Q2 34.203 51 Q3 Q4 0.71 Q2 66.509 2019 85067794662 SCOPUS PUBMED 000486834200016 WOS cav_un_epca*0254274 Mathematics and Mechanics of Solids 1081-2865 1741-3028 Roč. 24 č. 11 2019 3644 3673 Sage