Applied Mathematics and Mechanics

, Volume 4, Issue 4, pp 465–480

# 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
Article

## 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.

### Keywords

Mathematical Modeling Stress Tensor Quadratic Form Industrial Mathematic Variational Principle

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