ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1039-1046.

ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS

周小平^1,2, 张永兴¹, 哈秋聆¹, 王建华²

1. School of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China;
2. School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

收稿日期:2002-07-15 修回日期:2004-03-15 出版日期:2004-09-18 发布日期:2004-09-18
基金资助:
the National Natural Science Foundation of China(59879012,59649008)

ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS

ZHOU Xiao-ping^1,2, ZHANG Yong-xing¹, HA Qiu-ling¹, WANG Jian-hua²

1. School of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China;
2. School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received:2002-07-15 Revised:2004-03-15 Online:2004-09-18 Published:2004-09-18
Supported by:
the National Natural Science Foundation of China(59879012,59649008)

摘要/Abstract

摘要： A micromechanics-based model is established. The model takes the interaction among sliding cracks into account, and it is able to quantify the effect of various parameters on the localization condition of damage and deformation for brittle rock subjected to compressive loads. The closed-form explicit expression for the complete stress-strain relation of rock containing microcracks subjected to compressive loads was obtained. It is showed that the complete stress-strain relation includes linear elasticity,nonlinear hardening,rapid stress drop and strain softening.The behavior of rapid stress drop and strain softening is due to localization of deformation and damage. Theoretical predictions have shown to be consistent with the experimental results.

关键词: compressive load, mesoscopic heterogeneous rock, complete stress-strain relation, localization of damage and deformation

Abstract: A micromechanics-based model is established. The model takes the interaction among sliding cracks into account, and it is able to quantify the effect of various parameters on the localization condition of damage and deformation for brittle rock subjected to compressive loads. The closed-form explicit expression for the complete stress-strain relation of rock containing microcracks subjected to compressive loads was obtained. It is showed that the complete stress-strain relation includes linear elasticity,nonlinear hardening,rapid stress drop and strain softening.The behavior of rapid stress drop and strain softening is due to localization of deformation and damage. Theoretical predictions have shown to be consistent with the experimental results.

Key words: compressive load, mesoscopic heterogeneous rock, complete stress-strain relation, localization of damage and deformation

中图分类号:

TU45

周小平;张永兴;哈秋聆;王建华. ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 1039-1046.

ZHOU Xiao-ping;ZHANG Yong-xing;HA Qiu-ling;WANG Jian-hua. ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 1039-1046.

参考文献

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ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS

ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE STRESS-STRAIN RELATION FOR MESOSCOPIC HETEROGENEOUS BRITTLE ROCK SUBJECTED TO COMPRESSIVE LOADS

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