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Applied Mathematics and Mechanics

, Volume 8, Issue 8, pp 767–772 | Cite as

Anisotropic plastic stress field near a singular point

  • Lin Bai-song
Article

Abstract

On condition that any perfectly plastic stress component near a singular point is nothing but the function of θ only, making use of equilibrium equations and Hill anisotropic yield condition, we derive the general analytical expressions of the anisotropic plastic stress field near a singular point in both the cases of anti-plane and in-plane strains. Applying these general analytical expressions to the concrete cracks and the plane-strain bodies with a singular point, the anisotropic plastic stress fields at the tips of Mode I, Mode II, Mode III and mixed mode I–II cracks, and the limit loads of anisotropic plastic plane-strain bodies with a singular point are obtained.

Keywords

Mathematical Modeling Singular Point Industrial Mathematic General Analytical Expression Equilibrium Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Lin Bai-song, Perfectly plastic stress fields at a stationary crack tip,Applied Mathematics and Mechanics,6, 5 (1985), 431 - 438.CrossRefGoogle Scholar
  2. [2]
    Lin Bai-song, Elastic perfectly-plastic fields at a rapidly propagating crack-tip,Applied Mathematics and Mechanics,6, 10 (1985), 1017 - 1025.CrossRefGoogle Scholar
  3. [3]
    Hill, R.,The Mathematical Theory of Plasticity, Oxford (1950).Google Scholar
  4. [4]
    Kachanov, L.M.,Foundation of the Theory of Plasticity, London (1971).Google Scholar

Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Lin Bai-song
    • 1
  1. 1.Central-South University of TechnologyChangsha

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