Theorems on the Limit Analysis Dealing with the Yield Condition Expressed by the Sum of the Homogeneous Linear Form of Stress Tensor and the Homogeneous Quadratic Form of Stress Tensor

Zhao Jia-yi; Hsueh Dah-wei

Volume 4 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(4): 441-452

Zhao Jia-yi, Hsueh Dah-wei. Theorems on the Limit Analysis Dealing with the Yield Condition Expressed by the Sum of the Homogeneous Linear Form of Stress Tensor and the Homogeneous Quadratic Form of Stress Tensor[J]. Applied Mathematics and Mechanics, 1983, 4(4): 441-452.

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Theorems on the Limit Analysis Dealing with the Yield Condition Expressed by the Sum of the Homogeneous Linear Form of Stress Tensor and the Homogeneous Quadratic Form of Stress Tensor

Peking Institute of Technology, Beijing

Received Date: 1982-08-04
Publish Date: 1983-08-15

Abstract

Abstract

In this paper a generalized variational principle on the limit analysis dealing with the yield condition expressed by the sum of the homogeneous linear form of stress tensor and the homogeneous quadratic form of stress tensor is suggested.This variational principle can be applied to the limit analysis in rock mechanics and it takes the situation, in which the yield condition is expressed by the homogeneous linear form of stress tensor or the homogeneous quadratic form of stress tensor, as its special case.

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References

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