Publisher Summary Multifield theories indicate the wide range of models in which some
graphic fields must be introduced to describe the influence of material substructures on the …

We develop a general theory of geometrically necessary dislocations based on the
decomposition F= FeFp. The incompatibility of Fe and that of Fp are characterized by a …

Continuum Models for Phase Transitions and Twinning in Crystals presents the
fundamentals of a remarkably successful approach to crystal thermomechanics. Developed …

Equilibrium equations and stability conditions for the simple deformable elastic body are
derived by means of considering a minimum of the static energy principle. The energy is …

In a first period the Young measures were developed to get a correct notion of generalized
solutions. Now they give new methods to handle uniformly integrable or bounded …

Mutations in solids are defined here as dissipative reorganizations of the material texture at
different spatial scales. We discuss possible views on the description of material mutations …

Given two snapshots of an atomistic system, taken at different stages of the deformation
process, one can compute the incremental deformation gradient field, F, as defined by …

The underlying mathematical problems in nonlinear elasticity are fascinating. The variational
methods developed to tackle them are even more so. The graduate student and the …

The purpose of this work is the formulation of constitutive models for the inelastic material
behaviour of single crystals and polycrystals in which geometrically necessary dislocations …

In this paper we follow a model of DEL PIERO & OWEN [25] in order to provide a basis for
the application of techniques in the calculus of variations to non-classical deformations of …