The static approach to evaluate the limit multiplier directly was rephrased using the SymmetricGalerkin Boundary Element Method (SGBEM) for multidomain type problems [1,2]. The presentformulation couples SGBEM multidomain procedure with nonlinear optimization techniques, making use ofthe self-equilibrium stress equation [3-5]. This equation connects the stresses at the Gauss points of eachsubstructure (bem-e) to plastic strains through a self-stress matrix computed in all the bem-elements of thediscretized system. The analysis was performed by means of a conic quadratic optimization problem, interms of discrete variables, and implemented using Karnak.sGbem code  coupled with MathLab. Finally,some numerical tests are shown and the limit multiplier values are compared with those available in theliterature [4,8]. The applications show a very important computational advantage of this strategy whichallows one to introduce a domain discretization only in the zones involved in plastic strain action and toleave the rest of the structure as elastic macroelements, therefore governed by few boundary variables.
|Number of pages||8|
|Publication status||Published - 2011|