A Boundary Element-mathematical Programming Method For
Solving Elastoplastic Problems
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
Keywords
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