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	Lower bound shakedown analysis by the symmetric Galerkin boundary element method
	Liu, Y.H. ; Zhang, X.F. ; Cen, Z.Z.
	2010-05-07 ; 2010-05-07
关键词	Theoretical or Mathematical/ boundary-elements methods elastoplasticity Galerkin method nonlinear programming/ lower bound shakedown analysis symmetric Galerkin boundary element method static shakedown theorem Melan theorem elastic-perfectly plastic material self-equilibrium stress field elastic responses nonlinear mathematical programming complex method/ A4630J Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation A0260 Numerical approximation and analysis A0230 Function theory, analysis
中文摘要	In this paper, the static shakedown theorem is reformulated making use of the symmetric Galerkin boundary element method (SGBEM) rather than of finite element method. Based on the classical Melan's theorem, a numerical solution procedure is presented for shakedown analysis of structures made of elastic-perfectly plastic material. The self-equilibrium stress field is constructed by linear combination of several basis self-equilibrium stress fields with parameters to be determined. These basis self-equilibrium stress fields are expressed as elastic responses of the body to imposed permanent strains obtained through elastic-plastic incremental analysis. The lower bound of shakedown load is obtained via a non-linear mathematical programming problem solved by the complex method. Numerical examples show that it is feasible and efficient to solve the problems of shakedown analysis by using the SGBEM.
语种	英语 ; 英语
出版者	Elsevier ; UK
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/15870]
专题	清华大学
推荐引用方式 GB/T 7714	Liu, Y.H.,Zhang, X.F.,Cen, Z.Z.. Lower bound shakedown analysis by the symmetric Galerkin boundary element method[J],2010, 2010.
APA	Liu, Y.H.,Zhang, X.F.,&Cen, Z.Z..(2010).Lower bound shakedown analysis by the symmetric Galerkin boundary element method..
MLA	Liu, Y.H.,et al."Lower bound shakedown analysis by the symmetric Galerkin boundary element method".(2010).

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