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math.AP2023
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…
math.AP2023
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…