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math.AP2022
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity
Dominik Engl, Stefan Krömer, Martin Kružík
We perform via -convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considere…
math.AP2022
Nonlinear elasticity with vanishing nonlocal self-repulsion
Stefan Krömer, Philipp Reiter
We prove that that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as…