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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1031-1038.

• 论文 • 上一篇    下一篇

ANALYSIS OF THE LOCALIZATION OF DAMAGE AND THE COMPLETE (STRESS-STRAIN) RELATION FOR MESOSCOPIC HETEROGENEOUS ROCK UNDER UNIAXIAL TENSILE LOADING

周小平1,2, 王建华2, 张永兴1, 哈秋聆1   

  1. 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 ROCK UNDER UNIAXIAL TENSILE LOADING

ZHOU Xiao-ping1,2, WANG Jian-hua2, ZHANG Yong-xing1, HA Qiu-ling1   

  1. 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)

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摘要： The mechanical behavior of rock under uniaxial tensile loading is different from that of rock under compressive loads. A micromechanics-based model was proposed for mesoscopic heterogeneous brittle rock undergoing irreversible changes of their microscopic structures due to microcrack growth. The complete stress-strain relation including linear elasticity, nonlinear hardening,rapid stress drop and strain softening was obtained. The influence of all microcracks with different sizes and orientations were introduced into the constitutive relation by using the probability density function describing the distribution of orientations and the probability density function describing the distribution of sizes. The influence of Weibull distribution describing the distribution of orientations and Rayleigh function describing the distribution of sizes on the constitutive relation were researched. Theoretical predictions have shown to be consistent with the experimental results.

关键词: uniaxial tensile loading, mesoscopic heterogeneous rock, localization of damage and deformation, complete stress-strain relation

Abstract: The mechanical behavior of rock under uniaxial tensile loading is different from that of rock under compressive loads. A micromechanics-based model was proposed for mesoscopic heterogeneous brittle rock undergoing irreversible changes of their microscopic structures due to microcrack growth. The complete stress-strain relation including linear elasticity, nonlinear hardening,rapid stress drop and strain softening was obtained. The influence of all microcracks with different sizes and orientations were introduced into the constitutive relation by using the probability density function describing the distribution of orientations and the probability density function describing the distribution of sizes. The influence of Weibull distribution describing the distribution of orientations and Rayleigh function describing the distribution of sizes on the constitutive relation were researched. Theoretical predictions have shown to be consistent with the experimental results.

Key words: uniaxial tensile loading, mesoscopic heterogeneous rock, localization of damage and deformation, complete stress-strain relation

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