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Implementation of the Unified Strength Theory into FEM Codes

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Computational Plasticity

Part of the book series: Advanced Topics in Science and Technology in China ((ATSTC))

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Abstract

The yield criteria and various material models have been implemented into elasto-plastic programs and most current commercial FEM systems. In some systems, only the Huber-von Mises criterion, Drucker-Prager criterion and the Mohr-Coulomb criterion were implemented. Sometimes, the multi-parameters criteria for geomaterials and concrete structures are also used. The twin-shear strength theory has been implemented into special finite element programs since 1990 (Yu and Meng, 1990; Yu and Li, 1991; Yu, 1992; Yu et al., 1992). Only some single models, however, are used in several programs, and only one result can be obtained by using the single material model, which can be adopted only for one kind of material. Such models as the Tresca model can be used only for non-SD materials (those materials with the same strength both in tension and in compression), and the shear strength equals half of the tensile strength τy=0.5 σy The Huber-von Mises model can be used for non-SD materials with the shear strength τy=0.577 σy. The twin-shear yield criterion (Yu, 1961) or the maximum deviatoric stress criterion (Haythornthwaite, 1961), the shape distortion criterion (Schmidt-Ishilinsky, 1932–1940), or the matched circular criterion (Hill, 1950) can be used only for non-SD materials, and with the shear strength τy=0.667 σy. There is no relationship between these material models.

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Authors and Affiliations

  1. Department of Civil Engineering, Xi’an Jiaotong University, Xi’an, China

    Prof. Mao-Hong Yu

  2. Swiss Federal Institute of Technology, Switzerland

    Researcher Jian-Chun Li

Authors
  1. Prof. Mao-Hong Yu
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  2. Researcher Jian-Chun Li
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© 2012 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg

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Yu, MH., Li, JC. (2012). Implementation of the Unified Strength Theory into FEM Codes. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_6

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