4 citations · 4 across the 9 of their papers we have counts for
9 papers
Variational derivation of the Flamant solution for a nonlinear elastic wedge
Dominik Engl, Paul Plucinsky, Ian Tobasco
Concentrated forces acting at the tip of a two-dimensional wedge give rise to the classical Flamant solution to linear elasticity, whose displacement and strain are singular at the…
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…
Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities
Dominik Engl, Carolin Kreisbeck, Marco Morandotti
Lower semicontinuity of surface energies in integral form is known to be equivalent to BV-ellipticity of the surface density. In this paper, we prove that BV-ellipticity coincides…
A variational perspective on auxetic metamaterials of checkerboard-type
Wolf-Patrick Düll, Dominik Engl, Carolin Kreisbeck
The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of phy…
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity
Dominik Engl, Stefan Krömer, Martin Kružík
We perform via -convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considere…
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…
Asymptotic variational analysis of incompressible elastic strings
Dominik Engl, Carolin Kreisbeck
Starting from three-dimensional nonlinear elasticity under the restriction of incompressibility, we derive reduced models to capture the behavior of strings in response to external…