Add to ORKGWe 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 that the composite has a periodic microscopic structure, we establish the $\Gamma$-convergence of the energies in the limiting of vanishing periodicity. The constraint that plastic deformations belong to $\mathsf{SL}(3)$ poses the biggest hurdle to the analysis, and we address it by regarding $\mathsf{SL}(3)$ as a Finsler manifold.Comment: 19 page
In the context of homogenization of elastoplastic materials, we study the effects of a stiff compone...
International audienceThe asymptotic expansion analysis was developed in the framework of homogeniza...
25 pagesInternational audienceThis paper deals with the homogenization of a homogeneous elastic medi...
In this work, we study the effective behavior of a two-dimensional variational model within finite c...
We provide a homogenization result for the energy-functional associated with a purely brittle compos...
An analytical framework is developed for passing to the homogenisation limit in (not necessarily con...
An integral representation result is provided for the Gamma-limit of integral functionals arising in...
We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The co...
We present a simple example of a toughening mechanism in the homogenization of composites with soft ...
A homogenization result is given for a material having brittle inclusions arranged in a periodic str...
We provide a rigorous justification of the classical linearization approach in plasticity. By taking...
We consider the Lame system of linear elasticity with periodically distributed inclusions whose elas...
We investigate the deformation of heterogeneous plastic materials. The model uses internal variable...
We determine the effective behavior of a class of composites in finite-strain crystal plasticity, ba...
In the context of homogenization of elastoplastic materials, we study the effects of a stiff compone...
International audienceThe asymptotic expansion analysis was developed in the framework of homogeniza...
25 pagesInternational audienceThis paper deals with the homogenization of a homogeneous elastic medi...
In this work, we study the effective behavior of a two-dimensional variational model within finite c...
We provide a homogenization result for the energy-functional associated with a purely brittle compos...
An analytical framework is developed for passing to the homogenisation limit in (not necessarily con...
An integral representation result is provided for the Gamma-limit of integral functionals arising in...
We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The co...
We present a simple example of a toughening mechanism in the homogenization of composites with soft ...
A homogenization result is given for a material having brittle inclusions arranged in a periodic str...
We provide a rigorous justification of the classical linearization approach in plasticity. By taking...
We consider the Lame system of linear elasticity with periodically distributed inclusions whose elas...
We investigate the deformation of heterogeneous plastic materials. The model uses internal variable...
We determine the effective behavior of a class of composites in finite-strain crystal plasticity, ba...
In the context of homogenization of elastoplastic materials, we study the effects of a stiff compone...
International audienceThe asymptotic expansion analysis was developed in the framework of homogeniza...
25 pagesInternational audienceThis paper deals with the homogenization of a homogeneous elastic medi...