Variational approach for strain-driven, incremental homogenization of inelastic solids

Incremental homogenization approach for ageing viscoelastic polycrystals

On Rate Principles for Finite Strain Analysis of Elastic and Inelastic Nonlinear Solids

An Incremental Mori-Tanaka Homogenization Scheme for Finite Strain Thermoelastoplasticity of MMCs

The present paper aims at computational simulations of particle reinforced Metal Matrix Composites as well as parts and specimens made thereof. An incremental Mori-Tanaka approach with isotropization of the matrix tangent operator is adopted. It is extended to account for large strains by means of co-rotational Cauchy stresses and logarithmic strains and is implemented into Finite Element Metho...

Computing the Effective Hamiltonian: a Variational Approach to Homogenization

A numerical method to homogenization of HamiltonJacobi equations, or effective Hamiltonians, is presented and implemented as an L calculus of variations problem. Finding solutions involves solving a nonlinear optimization problem. The numerical method is shown to be convergent and error estimates are provided. One and two dimensional examples are worked in detail, comparing known results with t...

Strain localization driven by structural relaxation in sheared amorphous solids.

A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape of the elemental constituents. Upon the application of an external strain rate, the material shears through the appearance of elemental slip events with quad...