Issue
J. Phys. IV France
Volume 11, Number PR5, Septembre 2001
5th European Mechanics of Materials Conference on Scale Transitions from Atomistics to Continuum Plasticity
EUROMECH-MECAMAT'2001
Page(s) Pr5-103 - Pr5-110
DOI https://doi.org/10.1051/jp4:2001513
5th European Mechanics of Materials Conference on Scale Transitions from Atomistics to Continuum Plasticity
EUROMECH-MECAMAT'2001

J. Phys. IV France 11 (2001) Pr5-103-Pr5-110

DOI: 10.1051/jp4:2001513

Comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations

S. 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


Abstract
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.



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