Arc-length technique for nonlinear finite element analysis

作     者：MEMONBashir-Ahmed 苏小卒 

作者机构：DepartmentofStructuralEngineeringTongjiUniversityShanghai200092China Ph.DstudentfromDepartmentofCivilEngineeringQuaide-AwamUniversityofEngineeringScienceandTechnology.NawabshahSindhPakistan 

出 版 物：《Journal of Zhejiang University Science》 (浙江大学学报（自然科学英文版）)

年 卷 期：2004年第5卷第5期

页      面：618-628页

核心收录：

学科分类：07[理学] 08[工学] 081402[工学-结构工程] 081304[工学-建筑技术科学] 070104[理学-应用数学] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 

基　　金：project supported by the state education commission founda-tion for scholars returned from overseas china 

主　　题：Arc-length method,Nonlinear analysis,Finite element method,Reinforced concrete,Load-deflection path Document code: A CLC number: TU31 Arc-length technique for nonlinear finite element analysis* MEMON Bashir-Ahmed#,SU Xiao-zu (苏小卒) (Department of Structural Engineering,Tongji University,Shanghai 200092,China) E-mail: bashirmemon@*** xiaozub@*** Received July 30,2003 revision accepted Sept. 11,2003 Abstract: Nonlinear solution of reinforced concrete structures,particularly complete load-deflection response,requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard,ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load-displacement response. The arc-length method serves the purpose well in principle,received wide acceptance in finite element analysis,and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades,with particular emphasis on nonlinear finite element analysis of reinforced concrete structures. Key words: Arc-length method,Nonlinear analysis,Finite element method,Reinforced concrete,Load-deflection path 

摘      要：Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load-displacement response. The arc-length method serves the purpose well in principle, received wide acceptance in finite element analysis, and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades, with particular emphasis on nonlinear finite element analysis of reinforced concrete structures.