Chen, Y., Eskandarian, A., Oscard, M.S. and Lee, J.D. (2003) “Meshless analysis of plasticity with application to crack growth problems”, Theoretical and Applied Fracture Mechanics, in press.

Abstract: The governing equations for classical rate-independent plasticity are formulated in the framework of meshless method. The special flow theory for three-dimensional, two-dimensional plane strain and plane stress problems are presented. The numerical procedures, including return mapping algorithm, to obtain the solutions of boundary-value problems in computational plasticity are outlined. For meshless analysis the special treatment of the presence of barriers and mirror symmetries is formulated. The crack growth process in elastic-plastic solid under plane strain and plane stress conditions is analyzed. Numerical results are presented and discussed.