Strain gradient plasticity and multi-well potentials

Abstract: I will present a strain-gradient plasticity model obtained as $\Gamma$-limit of a nonlinear finite dislocation model characterised by a multiple-well potential and a singular perturbation term accounting for the divergence of the strain field. The analysis builds upon a new quantitative rigidity estimate for incompatible fields in presence of a multiwell elastic energy, showing that the $L^{1^{*}}$-distance of a strain field from a single well is controlled in terms of the $L^{1^{*}}$-distance from a finite set of wells, of curl $\beta$, and of ${\rm div} \beta$. This is a joint work with Dario Reggiani (Scuola Superiore Meridionale) and Francesco Solombrino (University of Naples Federico II).

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)