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math.AP2025
Commutativity and non-commutativity of limits in the nonlinear bending theory for prestrained microheterogeneous plates
Klaus Boehnlein, Lucas Bouck, Stefan Neukamm +2
In this paper we study the derivation of nonlinear bending models for prestrained elastic plates from three-dimensional non-linear elasticity via homogenization and dimension reduc…
math.AP2024
Dimension reduction for elastoplastic rods in the bending regime
Stefan Neukamm, Kai Richter
We rigorously derive an effective bending model for elastoplastic rods starting from three-dimensional finite plasticity. For the derivation we lean on a framework of evolutionary…
math.AP2024
Linearization and Homogenization of nonlinear elasticity close to stress-free joints
Stefan Neukamm, Kai Richter
In this paper, we study a hyperelastic composite material with a periodic microstructure and a prestrain close to a stress-free joint. We consider two limits associated with linear…