0575785 20250310153347.020230925235959.9 85163035626 001163618200001 10.1016/j.apm.2023.06.018 24 s. P cav_un_epca*02520560307-904X1221 (2023)641-664Elsevier Elasticity Global injectivity and self-contact Locking constraints Nonsimple materials Ciarlet-Nečas-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/2023/MTR/kromer-0575785-preprint.pdf https://www.sciencedirect.com/science/article/pii/S0307904X23002731?via%3Dihub GF21-06569K GA ČR cav_un_auth*0412957 We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nečas condition (almost everywhere global invertibility of deformations). For a linear elastic energy subject to an additional local invertibility constraint, we prove that the penalized elastic functionals converge to the original functional subject to the Ciarlet-Nečas condition. The approach also works for nonlinear models of non-simple materials including a suitable higher order term in the elastic energy, without artificial local constraints. Numerical experiments illustrate our results for a self-contact problem in 3d. WOS BA 10000 10100 10102 2024 2 2 R hod 4 4rh 4 20250310150325.4 4 20250310153347.0 RVO:67985556 https://hdl.handle.net/11104/0345508 S Article Engineering Multidisciplinary|Mathematics Interdisciplinary Applications|Mechanics B 20250816 MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|ENGINEERING.MULTIDISCIPLINARY|MECHANICS 4.2 1 6 0.02168 0.897 25285 150 1 48.84 4.97 8724 Q1 4.100 449 Q1 90 Q2 Q2 1.51 Q1 93 2023 Soubory v repozitáři: kromer-575785.pdf 85163035626 SCOPUS PUBMED 001163618200001 WOS cav_un_epca*0252056 Applied Mathematical Modelling 0307-904X 1872-8480 Roč. 122 č. 1 2023 641 664 Elsevier