Author(s)

A. Faraji, A. Gakwaya & A. Cardou

Abstract

A boundary element-mathematical programming method for solving elastoplastic problems A. Faraji, A. Gakwaya & A. Cardou Department of Mechanical Engineering, Lava1 University, Canada Abstract Based on a combination of the boundary element method (BEM) and mathematical programming (MP) approach, a simple but effective two- and three-dimensional stress and displacement analysis of elastoplastic bodies undergoing small displacements is presented. After making use of the plastic yield function and the associated plastic flow rule for elastic perfectly plastic material behaviour obeying the von Mises or Tresca criteria, the elastoplastic constitutive equations are expressed as a linear complementarity form. Using the boundary element formulation that utilizes the concept of particular integrals (meshless methods), in order to eliminate domain integrals, the elastoplastic problem is transformed into a linear complementarity problem (LCP) that is solved by Lemke's algorithm. Some numerical examples a

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