4 papers · 1 filter
Derivation of variational membrane models in the context of anisotropic nonlocal hyperelasticity
Dominik Engl, Anastasia Molchanova, Hidde Schönberger
Motivated by the analysis of thin structures, we study the variational dimension reduction of hyperelastic energies involving nonlocal gradients to an effective membrane model. Whe…
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…
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…
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…