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Unified Strength Theory and its Material Parameters

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Computational Plasticity

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

Abstract

Great effort has been devoted to the formulation of strength theories, failure criteria and yield criteria. Many versions of these were presented during the past 100 years. The single-shear criterion Maximum shear criterion (Tresca, 1864), the Huber-von Mises criterion (1904; 1913) and the twin-shear criterion (Yu 1961a; Yu 1983) can be suitable for those materials that have identical strength both in tension and compression. For these materials the shear yield stresses are τy=0.5 σy, τy=0.577 σy and τy=0.667 σy, respectively, where τy is the shear yield strength and σy is the uniaxial yield strength of materials. The Drucker-Prager criterion contradicts the experimental results of geomaterials. The single-shear theory (Mohr-Coulomb strength theory, 1900) and the twin-shear strength theory (Yu, 1985) are two bounds of the convex strength theory. Each one mentioned above is suitable for only a certain kind of material.

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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). Unified Strength Theory and its Material Parameters. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_4

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