J. Phys. IV France 08 (1998) Pr8-135-Pr8-141
A dislocation based gradient plasticity modelY. Estrin1, B. Sluys2, Y. Brechet3 and A. Molinari4
1 Department of Mechanical and Materials Engineering, University of Western Australia, Nedlands WA 6907, Austria
2 Department of Civil Engineering, Delft University of Technology, P. O. Box 5048, 2600 GA Delft, The Netherlands
3 LTPCM, INPG, Domaine Universitaire de Grenoble, 38402 Saint-Martin-d'Hères cedex, France
4 LPMM, Université de Metz, 57045 Metz cedex, France
A crystal plasticity model including gradient terms was suggested for a double slip geometry. The dislocation densities for the two slip systems were considered as internal variables of the model. Diffusion-like second derivative terms were attributed to dislocation cross-slip. A relation between the diffusion coefficient and the micromechanical quantities, such as the dislocation cross-slip probability and the cross-slip distance, was established. To demonstrate that a model of this type can be successfully used in conjunction with finite element analysis, a simplified case of a shear layer, with two slip systems sharing a common slip plane, was studied.
© EDP Sciences 1998