Abstract
Rigid plastic analysis is widely used for the analyses of metal forming process or bearing capacity problems. Theory and numerical formulation of rigid plastic analysis is investigated from the point of nonlinear optimization, in this paper. At first, duality of the upper bound analysis and the lower bound anlaysis is expounded from the theory of Lagrangian duality. Then, the interior point method is applied for the duality and the complementality of the rigid plastic analysis to formulate the hybrid rigid plastic finite element method (HRPFEM). A numerical code of the HRPFEM is developed to examine its performance. Three different meshes for the same surface loading problem are used to check the validity and the convergence of the numerical analysis.
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