Analysis of relationship between macroscopic damage variable and mesoscopic damage variable of quasi-brittle materials under compression

JIANG Xiao-chun; XIE He-ping; ZHOU Hong-wei

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Analysis of relationship between macroscopic damage variable and mesoscopic damage variable of quasi-brittle materials under compression

更新时间：2026-06-25

- Analysis of relationship between macroscopic damage variable and mesoscopic damage variable of quasi-brittle materials under compression
- Vol. 29, Issue 9, (2008)
- 作者机构：
  
  1. 中国矿业大学煤炭资源与安全开采国家重点实验室,北京,100083
  2. 中国矿业大学力建学院岩石力学与分形研究所,北京,100083
  3. 四川大学水利水电学院,成都,610065
- 作者简介：
- 基金信息：
- DOI：
  CLC： O346.5
- Online First：03 August 2013，
  
  Published：2008
- 稿件说明：
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JIANG Xiao-chun, XIE He-ping, ZHOU Hong-wei. Analysis of relationship between macroscopic damage variable and mesoscopic damage variable of quasi-brittle materials under compression[J]. 2008, 29(9).
DOI：

JIANG Xiao-chun, XIE He-ping, ZHOU Hong-wei. Analysis of relationship between macroscopic damage variable and mesoscopic damage variable of quasi-brittle materials under compression[J]. 2008, 29(9). DOI：

摘要

在连续损伤力学的基本框架内构建损伤力学模型，而对损伤变量的定义及其演化方程的描述则充分借鉴细观损伤力学的研究成果，就可以建立一个宏细观相结合的损伤模型。对于压缩载荷下准脆性材料损伤，通过假设宏观损伤分析和细观损伤分析所得到的有效弹性张量等价，可以求得宏观损伤变量与细观损伤机制相关的表达及其损伤演化方程，进而可以建立宏细观相结合的损伤模型，并以单轴压缩为例表明这种分析方法是可行的。

Abstract

Based on the framework of continuum damage theory

a damage model combining continuum damage mechanics with mesoscopic damage mechanics is built through defining the damage variable and describing the damage evolvement using the result of mesoscopic damage theory. For the damage of quasi-brittle materials under compression

continuous damage variable and its evolvement equation correlating with the mesoscopic damage mechanism are obtained; it is based on the hypothesis that the effective moduli from the macroscopic and mesoscopic damage analysis are equivalent. Then

the damage model combining continuum damage theory with mesoscopic damage theory can be developed. The analytical method has been proved to be feasible by the uniaxial compression experiment.

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