TY - CONF

T1 - A combined approach of SGBEM and conic quadratic optimization for limit analysis

AU - Panzeca, Teotista

AU - Zito, Liborio

AU - Parlavecchio, Eugenia

PY - 2011

Y1 - 2011

N2 - 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 [6] 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.

AB - 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 [6] 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.

KW - SGBEM

KW - lower bound limit analysis

KW - multidomain

KW - nonlinear programming

KW - SGBEM

KW - lower bound limit analysis

KW - multidomain

KW - nonlinear programming

UR - http://hdl.handle.net/10447/64418

M3 - Other

ER -