Article Dans Une Revue Modelling Simul. Mater. Sci. Eng. Année : 2006

Dislocation transport using an explicit Galerkin-Least Squares formulation

Résumé

An explicit Galerkin/least squares formulation is introduced for a quasilinear transport equation in Field Dislocation Mechanics (FDM) and applied to the study of the kinematics of dislocation density evolution in the following physical contexts: annihilation of dislocations, expansion of a dislocation loop, simulation of Frank-Read sources. This conditionnaly stable method leads to a symmetric well-conditioned system of equations with constant coefficients, making it attractive for large-scale problems. The weak solutions to these equations are not unique, and the method is able to capture shock formation as well as rarefraction waves by appropriate algorithmic modifications.

Fichier non déposé

Dates et versions

hal-00119274 , version 1 (11-12-2006)

Identifiants

  • HAL Id : hal-00119274 , version 1

Citer

S. Varadhan, A. J. Beaudoin, A. Acharya, C. Fressengeas. Dislocation transport using an explicit Galerkin-Least Squares formulation. Modelling Simul. Mater. Sci. Eng., 2006, 14, pp.1245-1270. ⟨hal-00119274⟩

Collections

105 Consultations
0 Téléchargements

Partager

  • More