This paper is devoted to two-scale homogenization for a class of rate-independent systems
described by the energetic formulation or equivalently by an evolutionary variational …

This paper deals with processes in nonlinear inelastic materials whose constitutive
behaviour is represented by the inclusionhere we denote by σ the stress tensor, by ε the …

Temperature and phase evolution in phase transitions are represented here by coupling the
energy balance equation with a multivalued constitutive relation between the density of …

Homogenization in Viscoplasticity Page 1 SIAM J. MATH. ANAL. c 2007 Society for
Industrial and Applied Mathematics Vol. 39, No. 1, pp. 236–262 HOMOGENIZATION IN …

Quasi-static processes in nonlinear visco-elastic materials of solid-type are here
represented by the system: coupled with initial and boundary conditions. Here σ denotes the …

In homogenization, two-scale models arise, eg, by applying Nguetseng's notion of two-scale
convergence to nonlinear PDEs. A homogenized single-scale problem may then be derived …

This work is devoted to scale transformations of stationary nonlinear problems. A class of
coarse-scale problems is first derived by integrating a family of two-scale minimization …

A homogenized material model can be used effectively for simulation, if the difference of the
solutions of this model and the microscopic model converges to zero in a strong norm when …

This work deals with the homogenization of hysteresis-free processes in ferromagnetic
composites. A degenerate, quasilinear, parabolic equation is derived by coupling the …

The pointwise gradient constrained homogenization process, for Neumann and Dirichlet
type problems, is analyzed by means of the periodic unfolding method recently introduced in …