Pré-Publication, Document De Travail Année : 2018

Variational evolution of dislocations in single crystals

Résumé

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.

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hal-01795344 , version 1 (18-05-2018)

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  • HAL Id : hal-01795344 , version 1

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