损伤体有效弹性性质的细观分析和不变性描述—— 一个考虑微缺陷相互作用的一般理论模式

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MICROSCOPIC ANALYSIS AND INVARIANT DESCRIPTION OF THE EFFECTIVE ELASTIC PROPERTIES OF DAMAGED SOLIDS ——A GENERAL THEORETIC MODEL ACCOUNTING FOR INTERACTION OF MICRO-DEFECTS

摘要: 通过引进微缺陷相互作用张量，建立了一个二维情况下考虑微缺陷（微裂纹或微孔洞）间相互作用的损伤固体有效弹性性质的一般理论模式模型中考虑了微缺陷的几何形状、取向分布和空间分布所造成的有效柔度张量的各向异性和材料中微缺陷之间的相互作用所引起的损伤柔度张量的高阶效应针对微椭圆孔、微圆孔和微裂纹问题，求得了相互作用张量的解析形式
- 有效弹性性质 /
- 各向异性损伤 /
- 微缺陷相互作用张量 /
- 微缺陷形态和分布
Abstract: To estimate the effective elastic properties of damaged solids accounting for the interaction of micro-defects, quite a few schemes have been proposed, such as the self-consistent scheme (SCS) , differential scheme , generalised self-consistent scheme (GSCS) and Mori-Tanaka scheme (see also the review articles ) Although these schemes are quite covenient in application, they all are based on non-interacting scheme and some assumptions in accounting the effect of interaction of m...
- effective elastic properties /
- anisotropic damage /
- micro-defect interactors /
- morphology and distribution of micro-defects