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Indexed by:期刊论文
Date of Publication:2013-03-01
Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Included Journals:SCIE、EI
Volume:37
Issue:3
Page Number:558-568
ISSN No.:0955-7997
Key Words:SGBEM; Lower bound limit analysis; Elastoplasticity; Self-equilibrium stress; Convex optimization
Abstract:The lower bound limit approach of the classical plasticity theory is rephrased using the Multidomain Symmetric Galerkin Boundary Element Method, under conditions of plane and initial strains, ideal plasticity and associated flow rule. The new formulation couples a multidomain procedure with nonlinear programming techniques and defines the self-equilibrium stress field by an equation involving all the substructures (bem-elements) of the discretized system. The analysis is performed in a canonical form as a convex optimization problem with quadratic constraints, in terms of discrete variables, and implemented using the Karnak.sGbem code coupled with the optimization toolbox by MatLab. The numerical tests, compared with the iterative elastoplastic analysis via the Multidomain Symmetric Galerkin Boundary Element Method, developed by some of the present authors, and with the available literature, prove the computational advantages of the proposed algorithm. (c) 2012 Elsevier Ltd. All rights reserved.
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