关于损伤张量的阶次

The Order of a Damage Tensor

摘要: 本文首先讨论了较为广泛的连续介质材料的应力变形本构关系,得到了通常以泛函表示的应力变形本构关系的张量表达式.以此为基础,研究了各向异性材料各向异性损伤时,无论从连续介质力学模型出发还是从缺陷模型出发,描述损伤的张量都存在最高阶次的限制;指出了在什么条件下,损伤变量可用低于最高阶次的张量来描述.

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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