Počet záznamů: 1
Surface penalization of self-interpenetration in linear and nonlinear elasticity
- 1.0575785 - ÚTIA 2024 RIV NL eng J - Článek v odborném periodiku
Krömer, Stefan - Valdman, Jan
Surface penalization of self-interpenetration in linear and nonlinear elasticity.
Applied Mathematical Modelling. Roč. 122, č. 1 (2023), s. 641-664. ISSN 0307-904X. E-ISSN 1872-8480
Grant CEP: GA ČR GF21-06569K
Institucionální podpora: RVO:67985556
Klíčová slova: Elasticity * Global injectivity and self-contact * Locking constraints * Nonsimple materials * Ciarlet-Nečas-condition * Approximation
Obor OECD: Applied mathematics
Impakt faktor: 5, rok: 2022
Způsob publikování: Open access s časovým embargem
http://library.utia.cas.cz/separaty/2023/MTR/kromer-0575785-preprint.pdf https://www.sciencedirect.com/science/article/pii/S0307904X23002731?via%3Dihub
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.
Trvalý link: https://hdl.handle.net/11104/0345508
Počet záznamů: 1