Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 251-258.

• 论文 • 上一篇    下一篇

THE ORDER OF A DAMAGE TENSOR

吕运冰, 陈幸福   

  1. Huazhong University of Science and Technology, Wuhan
  • 收稿日期:1987-06-12 出版日期:1989-03-18 发布日期:1989-03-18

THE ORDER OF A DAMAGE TENSOR

Lü Yun-bing, Chen Xing-fu   

  1. Huazhong University of Science and Technology, Wuhan
  • Received:1987-06-12 Online:1989-03-18 Published:1989-03-18

摘要: In this paper, the stress deformation constitutive relations for continua are discussed and a stress deformation constitutive relation expressed by functional tensorial expression is found. When we study the anisotropic damage of anisotropic materials either from a macroscopic continuum mechanics model or from a micro-defect model, there exists a limit to the order of a damage tensor, and the condition under which the damage variable may be described by a tensor lower than those of the highest order is found.

Abstract: In this paper, the stress deformation constitutive relations for continua are discussed and a stress deformation constitutive relation expressed by functional tensorial expression is found. When we study the anisotropic damage of anisotropic materials either from a macroscopic continuum mechanics model or from a micro-defect model, there exists a limit to the order of a damage tensor, and the condition under which the damage variable may be described by a tensor lower than those of the highest order is found.

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