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Mechanical conditions for fracture of anisotropic bodies and their geometry in stress space

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Abstract

The conditions for fracture of anisotropic bodies and their geometry in stress space are proposed in this paper. The analytical formulae expressing the fracture conditions are established from the viewpoint of energy theory for crack propagation.

In stress space the limiting surface corresponding to the fracture conditions derived for anisotropic solids is quadratic. It is an ellipsoid in case the mean stress is greater than zero and it is hyperboloid in case the mean stress is smaller than zero.

The conclusions formed by the author in the present paper have certain generality. Some results obtained by predecessors appear to be special cases with respect to the present theory.

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Authors and Affiliations

  1. Department of Geomechanics, Wuhan College of Geology, Beijing

    Han Yu-ying

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  1. Han Yu-ying
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Yu-ying, H. Mechanical conditions for fracture of anisotropic bodies and their geometry in stress space. Appl Math Mech 4, 283–290 (1983). https://doi.org/10.1007/BF01895452

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  • DOI: https://doi.org/10.1007/BF01895452

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