A Boundary Element-mathematical Programming Method For Solving Elastoplastic Contact Problems
Price
Free (open access)
Transaction
Volume
38
Pages
11
Published
2003
Size
451.85 kb
Paper DOI
10.2495/CON030041
Copyright
WIT Press
Author(s)
A. Faraji, A. Cardou and A. Gakwaya
Abstract
A boundary element-mathematical programming method for solving elastoplastic contact problems A. Faraji, A. Cardou & A. Gakwaya Dept. of Mechanical Engineering, Lava1 University, Canada. Abstract For two- and three-dimensional elastoplastic stress analysis of frictional contact problems, an effective analysis method using a combination of the boundary element method (BEM) and mathematical programming (MP) approach is presented. The assumptions of small displacement and elastic perfectly plastic material behavior obeying the von Mises or Tresca criteria with associated flow rule are made. Not only are the contact boundary conditions expressed as a linear complementarity problem (LCP) with penalty factors in accordance with the analogy with plasticity, but the elastoplastic constitutive equations also are presented in the similar form. Based on these formulations and on a field BEM that uses the particular integrals, a unified LCP is derived to solve the elastoplastic contact problem. Some resul
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