Stressed dislocation pattern formation in crystal plasticity at finite deformation is
demonstrated for the first time. Size effects are also demonstrated within the same …

We develop and demonstrate the first general computational tool for finite deformation static
and dynamic dislocation mechanics. A finite element formulation of finite deformation …

We describe a model based on continuum mechanics that reduces the study of a significant
class of problems of discrete dislocation dynamics to questions of the modern theory of …

We present a framework which unifies classical phenomenological J 2 and crystal plasticity
theories with quantitative dislocation mechanics. The theory allows the computation of stress …

Measures of rates of elastic incompatibilities are developed within an Eulerian framework for
finite-deformation response of anisotropic elastic–inelastic materials. Such framework relies …

A geometrically nonlinear theory for field dislocation thermomechanics based entirely on
measurable state variables is proposed. Instead of starting from an ordering-dependent …

A 2-d dislocation pile-up model is developed to solve problems with arrays of edge
dislocations on one or multiple slip planes. The model developed in this work has four …

An action functional is developed for nonlinear dislocation dynamics. This serves as a first
step towards the application of effective field theory in physics to evaluate its potential in …

The continuum mechanics of line defects representing singularities due to terminating
discontinuities of the elastic displacement and its gradient field is developed. The …

This article provides a multiscale justification of the multiplicative decomposition F= F e F p
for three-dimensional elasto-plastic deformations, and sets its limits of applicability via a …