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A finite element—mathematical programming method for elastoplastic problems based on the principle of virtual work

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Abstract

By expanding the yielding function according to Taylor series and neglecting the high order terms, the elastoplastic constitutive equation is written in a linear complementary form. Based on this linear complementary form and the principle of virtual work, a finite element-complementary method is derived for elastoplastic problem. This method is available for materials which satisfy either associated or nonassociated flow rule. In addition, the existence and uniqueness of solution for the method are also discussed and some useful conclusions are given.

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Authors and Affiliations

  1. Dept. of Eng. Mech., Shanghai Jiao Tong Univ., Shanghai

    Zhu Chang-ming & Jin Yong-jie

Authors
  1. Zhu Chang-ming
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  2. Jin Yong-jie
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Additional information

Communicated by Pan Li-zhou

The project is supported by the National Natural Science Foundation of China

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Chang-ming, Z., Yong-jie, J. A finite element—mathematical programming method for elastoplastic problems based on the principle of virtual work. Appl Math Mech 14, 635–642 (1993). https://doi.org/10.1007/BF02455384

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  • DOI: https://doi.org/10.1007/BF02455384

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