Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (4): 465-480.

• Articles •    下一篇

THEOREMS ON THE LIMIT ANALYSIS DEALING WITH THE YIELD CONDITION EXPRESSED BY THE SUNi OF THE HOMOGENEOUS LINEAR FORM OF STRESS TENSOR AND THE HOMOGENEOUS QUADRATIC FORM OF STRESS TENSOR

赵家谊, 薛大为   

  1. Beijing Institute of Technology
  • 收稿日期:1982-08-04 出版日期:1983-07-18 发布日期:1983-07-18

THEOREMS ON THE LIMIT ANALYSIS DEALING WITH THE YIELD CONDITION EXPRESSED BY THE SUNi OF THE HOMOGENEOUS LINEAR FORM OF STRESS TENSOR AND THE HOMOGENEOUS QUADRATIC FORM OF STRESS TENSOR

Zhao Jia-yi, Hsueh Dah-wei   

  1. Beijing Institute of Technology
  • Received:1982-08-04 Online:1983-07-18 Published:1983-07-18

摘要: 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.

关键词: double cylindrical shell, coupling vibration equation, acoustic pressure

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.

Key words: double cylindrical shell, coupling vibration equation, acoustic pressure

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