1 citations · 1 across the 5 of their papers we have counts for
7 papers
A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
Stefano Almi, Stefan Krömer, Anastasia Molchanova
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the…
Surface penalization of self-interpenetration in linear and nonlinear elasticity
Stefan Krömer, Jan Valdman
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 globa…
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…
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…
Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms
Stefan Krömer, Jan Valdman
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 mater…
Weak lower semicontinuity by means of anisotropic parametrized measures
Agnieszka Kałamajska, Stefan Krömer, Martin Kružík
It is well known that besides oscillations, sequences bounded only in can also develop concentrations, and if the latter occurs, we can at most hope for weak convergence…