3 papers
math.AP2021
On the interplay of anisotropy and geometry for polycrystals in single-slip crystal plasticity
Dominik Engl, Carolin Kreisbeck
In this paper, we investigate a variational polycrystalline model in finite crystal plasticity with one active slip system and rigid elasticity. The task is to determine inner and…
math.AP2021
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy
Dominik Engl, Carolin Kreisbeck, Antonella Ritorto
We identify the restricted class of attainable effective deformations in a model of reinforced composites with parallel, long, and fully rigid fibers embedded in an elastic body. I…
math.AP2020
Theories for incompressible rods: a rigorous derivation via -convergence
Dominik Engl, Carolin Kreisbeck
We use variational convergence to derive a hierarchy of one-dimensional rod theories, starting out from three-dimensional models in nonlinear elasticity subject to local volume-pre…