The Order of a Damage Tensor

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Lü Yun-bing, Chen Xing-fu. The Order of a Damage Tensor[J]. Applied Mathematics and Mechanics, 1989, 10(3): 239-246.

Citation:

Lü Yun-bing, Chen Xing-fu. The Order of a Damage Tensor[J]. Applied Mathematics and Mechanics, 1989, 10(3): 239-246.

Citation:

Lü Yun-bing, Chen Xing-fu. The Order of a Damage Tensor[J]. Applied Mathematics and Mechanics, 1989, 10(3): 239-246.

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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