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Application of base force element method with complementary energy principle for elasto-plastic truss analysis
Received:April 07, 2017  Revised:April 27, 2017
中文关键词:  塑性力学  有限单元法  基面力元法  余能原理  桁架  弹塑性分析
英文关键词:plastic mechanics  finite element method  base force element method(BFEM)  complementary energy principle  truss  elasto-plastic analysis
Author NameAffiliationE-mail
LI Ruixue College of Architecture and Civil Engineering Beijing University of Technology  
PENG Yijiang College of Architecture and Civil Engineering Beijing University of Technology pengyijiang@bjut.edu.cn 
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      Base force element method(BFEM) is a new type of finite element method, which uses the "base force" as fundamental variables to describe the stress state at a point. In order to compile a base force element program for the elasto-plastic analysis of truss using MATLAB language, based on the BFEM with complementary energy principle, the solid element of the plane 4 nodes in BFEM is degenerated into the truss element. The concrete expressions of the flexibility matrix, axial force and displacement of the degenerated truss elements are derived, and necessary modification of the governing equations is conducted. According to the degenerated truss element model, the idea of incremental method and linear strengthened elasto-plastic model are adopted for calculation by using 3-pole indeterminate truss and complicated static determinacy as samples. It is found that through comparison of the calculated results and the results from T2D2 of ABAQUS, the calculated results using the method are in highly agreement with those obtained with ABAQUS, which further verifies the correctness of the base force element method and the applicability of the program.
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