Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space

Han Yu-ying

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(2): 269-276

Han Yu-ying. Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space[J]. Applied Mathematics and Mechanics, 1983, 4(2): 269-276.

Citation:

Han Yu-ying. Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space[J]. Applied Mathematics and Mechanics, 1983, 4(2): 269-276.

Citation:

Han Yu-ying. Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space[J]. Applied Mathematics and Mechanics, 1983, 4(2): 269-276.

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Mechanical Conditions for Fracture of Anisotropic Bodies and Their Geometry in Stress Space

Han Yu-ying

Department of Geomechanics, Wuhan College of Geology, Beijing

Received Date: 1981-09-29
Publish Date: 1983-04-15

Abstract

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 front 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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References(14)

References

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