Plastic variational principle based on the least work consumption principle

被引:0
作者
Song-hua Tang
Ying-she Luo
Zhu-bao Zhou
Zhi-chao Wang
机构
[1] Xiangtan University,College of Civil Engineering and Mechanics
[2] Central South University,School of Civil and Architectural Engineering
[3] Central South University of Forestry & Technology,Institute of Rheological Mechanics & Material Engineering
来源
Journal of Central South University of Technology | 2008年 / 15卷
关键词
rigid-plastic; rigid-viscoplastic; variational principle; the least work consumption principle;
D O I
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中图分类号
学科分类号
摘要
Plastic variational principles are foundation to solve the boundary-value problems of plastic mechanics with the variational method (or energy method) and finite element method. The most convenient way of establishing different kinds of variational principles is to set up the extreme principle related to the studied problem. Based on a general new extreme principle-the Least work consumption principle, the variational principles of the rigid-plastic and rigid-viscoplastic material were derived. In comparison with existing methods, the method in this paper is more clear and direct, and the physical meaning is clear-cut. This method can offer a new way for establishing other kinds of variational principles.
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页码:39 / 42
页数:3
相关论文
共 20 条
  • [1] Hu H.-chang.(1955)On some variational principles in the theory of elasticity and plasticity[J] Scientia Sinica 4 33-54
  • [2] Ning J.-g.(1994)Dynamic analysis of large deformation for rigid-viscoplastic hardening spherical shells being impacked by a missile[J] Acta Mechanica Solida Sinica 15 111-120
  • [3] Yang G.-tong.(1998)Energy functional and rigid viscoplastic dynamic explicit arithmatic of metal forming process[J] Acta Mechanica Solida Sinica 19 156-161
  • [4] Xie C.-l.(2001)Study on the variation principle of rigid-plastic material containing voids[J] Journal of Shanghai Jiaotong University 35 1535-1538
  • [5] Li S.-j.(2002)Generalized variational inequalities in rigid plasticity and its application in plane strain analysis[J] Chinese Quarterly of Mechanics 23 337-341
  • [6] Huang S.-huai.(2007)Study on FEM simulation arithmetic of metal plasticity[J] Forging & Stamping Technology 32 96-99
  • [7] Li Y.-m.(2007)Finite element method of a kind of new variational principle[J] Journal of Central South University of Technology 14 73-76
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