The plastic component of the deformation gradient plays a central role in finite kinematic
models of plasticity. However, its characterization has been the source of extended debates …

In this paper, we show that a strain-gradient plasticity model arises as the Γ-limit of a
nonlinear semi-discrete dislocation energy. We restrict our analysis to the case of plane …

We prove that the classical line-tension approximation for dislocations in crystals, that is, the
approximation that neglects interactions at a distance between dislocation segments and …

This paper deals with the elastic energy induced by systems of straight edge dislocations in
the framework of linearized plane elasticity. The dislocations are introduced as point …

Geometric rigidity states that a gradient field which is L^ p L p-close to the set of proper
rotations is necessarily L^ p L p-close to a fixed rotation, and is one key estimate in …

In this paper we derive a line tension model for dislocations in 3D starting from a
geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as …

In this paper, a strain-gradient plasticity model is derived from a mesoscopic model for
straight parallel edge dislocations in an infinite cylindrical crystal. The main difference to …

In this paper we provide a proof of the multiplicative kinematic description of crystal
elastoplasticity in the setting of large deformations, ie F= F e F p, for a two dimensional …

We study variational models for dislocations in three dimensions in the line-tension scaling.
We present a unified approach which allows to treat energies with subquadratic growth at …

We formulate a variational model for a geometrically necessary screw dislocation in an anti-
plane lattice model at zero temperature. Invariance of the energy functional under lattice …