[HTML][HTML] Homogenization of high-contrast media in finite-strain elastoplasticity
This work is devoted to the analysis of the interplay between internal variables and high-
contrast microstructure in inelastic solids. As a concrete case-study, by means of variational …
contrast microstructure in inelastic solids. As a concrete case-study, by means of variational …
Asymptotic rigidity of layered structures and its application in homogenization theory
F Christowiak, C Kreisbeck - Archive for rational mechanics and analysis, 2020 - Springer
In the context of elasticity theory, rigidity theorems allow one to derive global properties of a
deformation from local ones. This paper presents a new asymptotic version of rigidity …
deformation from local ones. This paper presents a new asymptotic version of rigidity …
A homogenization result in finite plasticity
We carry out a variational study for integral functionals that model the stored energy of a
heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming …
heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming …
A variational perspective on auxetic metamaterials of checkerboard-type
WP Düll, D Engl, C Kreisbeck - Archive for Rational Mechanics and …, 2024 - Springer
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 …
elastic materials with stiff checkerboard-type heterogeneities under the assumptions of …
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
An effective model is identified for thin perfectly plastic plates whose microstructure consists
of the periodic assembling of two elastoplastic phases, as the periodicity parameter …
of the periodic assembling of two elastoplastic phases, as the periodicity parameter …
Homogenization of high-contrast composites under differential constraints
We derive, by means of variational techniques, a limiting description for a class of integral
functionals under linear differential constraints. The functionals are designed to encode the …
functionals under linear differential constraints. The functionals are designed to encode the …
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy
D Engl, C Kreisbeck, A Ritorto - Mathematical Models and Methods …, 2022 - World Scientific
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. In …
composites with parallel, long, and fully rigid fibers embedded in an elastic body. In …
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes
We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a
microstructure resulting from the periodic alternation of two elastoplastic phases. We study …
microstructure resulting from the periodic alternation of two elastoplastic phases. We study …
On static and evolutionary homogenization in crystal plasticity for stratified composites
E Davoli, C Kreisbeck - Research in Mathematics of Materials Science, 2022 - Springer
The starting point for this work is a static macroscopic model for a high-contrast layered
material in single-slip finite crystal plasticity, identified in (Christowiak and Kreisbeck, Calc …
material in single-slip finite crystal plasticity, identified in (Christowiak and Kreisbeck, Calc …
A homogenization result in finite plasticity
We carry out a variational study for integral functionals that model the stored energy of a
heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming …
heterogeneous material governed by finite-strain elastoplasticity with hardening. Assuming …