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各向同性弹性损伤的双标量描述

DOUBLE SCALAR FORMULATION OF ISOTROPIC ELASTIC DAMAGE

  • 摘要: 损伤状态的描述是损伤力学中仍未完善解决的基本问题.我们旨在对此问题就最简单的一种情形——各向同性弹性损伤,进行较为全面的研究.首先,指出了古典各向同性损伤理论中,基于应变等效假设,用单个标量损伤变量描述损伤状态的局限性.然后,建立了一个用两个标量损伤变量描述的各向同性弹性损伤模型.此模型解除了古典理论的局限,能完全描述各向同性弹性损伤,并且得到本文数值实验的验证.最后,将本文模型与现有细观力学结果连接,给出了宏细观损伤变量之间的关系,使得细观量可以通过宏观量来反映,建立了一个用细观损伤材料常数描述细观缺陷特征的损伤本构模型

     

    Abstract: Description of damage state and damage evolution are of fundamental importance that have not been completely resolved This paper focuses on a most simple case, i e , isotropic elastic damage for initially isotropic elastic materials We note some limitations of the classical isotropic damage theory based on the strain equivalence hypothesis, in which the damage state is described by a single scalar damage variable In the present paper, it is shown that the complete description for isotropic elastic ...

     

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