A mesoplastic finite-element method was developed for the study of dislocation behavior in a face-centered cubic metal. The method was based upon the theory that 12 slip-systems governed the plastic deformation of a face-centered cubic metal. Anisotropic latent hardening was also taken into account. Glide on these slip systems was related to the dislocation density, so the finite-element method reproduced the distribution of dislocations in crystals. Tensile and compressive tests of crystalline Al were simulated by using the present method, and the dislocation behavior in crystals was investigated. A monocrystal exhibited the Bauschinger effect when the lattice was deformed in the asymmetrical direction. The simulation indicated that the Bauschinger effect was due to a change in active slip system, due to the change in deformation direction. The Hall-Petch effect was also simulated. The results showed that non-uniform deformation was one of the most important factors in the Hall-Petch effect.

FEM Simulation of Dislocation Behavior in a Face-Centered Cubic Metal. M.Yoshino, T.Shiina, T.Shirakashi: Computer Modeling and Simulation in Engineering, 1997, 2[3], 218-26