Variational evolution of dislocations in single crystals

Riccardo Scala (1) , Nicolas Van Goethem (1)

1 ULISBOA - Universidade de Lisboa = University of Lisbon

In this paper we provide an existence result for the energetic evolution of a set of dislocation lines in a three-dimensional single crystal. The variational problem consists of a polyconvex stored-elastic energy plus a dislocation energy and some higher-order terms. The dislocations are modeled by means of integral one-currents and the dissipation distance is chosen to be the flat distance.

Domaines: Analyse numérique [cs.NA]

Riccardo Scala, Nicolas Van Goethem. Variational evolution of dislocations in single crystals. 2018. ⟨hal-01795344⟩