J. Phys. IV France 11 (2001) Pr5-103-Pr5-110
Comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculationsS. Yefimov1, I. Groma2 and E. Van der Giessen1
1 University of Groningen, Department of Applied Physics, Nyenborgh 4, 9747 Groningen, The Netherlands
2 Eötvös University, Department of General Physics, Pazmany P. setany 1/b, Pf. 32, 1518 Budapest, Hungary
A novel, nonlocal version of continuum crystal plasticity theory is proposed, which is based on a statistical description of dislocations. It involves a set of evolution equations for the dislocation density and for the sign-dislocation density, which are coupled to the continuum slip description. The theory is applied to the problem of shearing of a two-dimensional composite material. The results are compared, in qualitative manner, to the results of recent discrete dislocation predictions of the same problem. The new theory is shown to be able to pick up the distinct dependence on particle morphology and the associated size dependence.
© EDP Sciences 2001