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- W4320854524 abstract "We analyze a term penalizing surface self-penetration, as a soft constraint for models of hyperelastic materials to approximate the Ciarlet-Nev{c}as 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-Nev{c}as 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." @default.
- W4320854524 created "2023-02-16" @default.
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- W4320854524 creator A5076931768 @default.
- W4320854524 date "2023-02-13" @default.
- W4320854524 modified "2023-10-18" @default.
- W4320854524 title "Surface penalization of self-interpenetration in linear and nonlinear elasticity" @default.
- W4320854524 doi "https://doi.org/10.48550/arxiv.2302.06268" @default.
- W4320854524 hasPublicationYear "2023" @default.
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