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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…