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博士生导师

硕士生导师

任职 : 国家重大专项专家组成员、教育部热防护专业组组长、国际华人计算力学协会理事、中国航空学会理事、中国航空学会强度与设计专业委员会委员、国际边界单元法协会会员、教育部高等学校航空航天类专业教学指导委员会委员

性别:男

毕业院校:Glasgow University

学位:博士

所在单位:力学与航空航天学院

办公地点:海宇楼403A

电子邮箱:xwgao@dlut.edu.cn

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Lower bound limit analysis by bem: Convex optimization problem and incremental approach

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论文类型:期刊论文

发表时间:2013-03-01

发表刊物:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录刊物:SCIE、EI

卷号:37

期号:3

页面范围:558-568

ISSN号:0955-7997

关键字:SGBEM; Lower bound limit analysis; Elastoplasticity; Self-equilibrium stress; Convex optimization

摘要: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.