A Cell-less BEM Formulation for 2D and 3D Elastoplastic Problems Using Particular Integrals
A. Owatsiriwong; B. Phansri; and K.H. Park;

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 31, No. 1, pp. 37-60, 2008
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Keywords BEM, particular integrals, elastoplasticity, Newton-Raphson algorithm, collapse analysis, footing.
Abstract This study deals with the particular integral formulation for two (2D) and three (3D) dimensional elastoplastic analyses. The elastostatic equation is used for the complementary solution. The particular integrals for displacement, stress and traction rates are derived by introducing the concept of global shape function to approximate an initial stress rate term of the inhomogeneous equation. The Newton-Raphson algorithm for the plastic multiplier is used to solve the system equation. The developed program is integrated with the pre- and post-processor. The collapse analyses of the smooth flexible strip, square and circular footings are given by comparing the numerical results of the load-displacement response with those by other BEM and FEM programs. The results of evolution of plastic region and deformed shape with increasing load are also given to demonstrate the application and accuracy of the present formulation.
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