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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (3): 323-333.doi: https://doi.org/10.1007/s10483-009-0306-z

• Articles • 上一篇    下一篇

A micromechanical damage model for rocks and concretes under triaxial compression

任中俊,彭向和,胡宁,杨春和   

  1. 1. Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China;
    2. Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan
  • 收稿日期:2008-06-17 修回日期:2008-12-15 出版日期:2009-03-05 发布日期:2009-03-01
  • 通讯作者: Xiang-he PENG, Professor, E-mail: xhpeng@cqu.edu.cn E-mail:xhpeng@cqu.edu.cn

A micromechanical damage model for rocks and concretes under triaxial compression

Zhong-jun REN, Xiang-he PENG, Ning HU, Chun-he YANG   

  1. 1. Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China;
    2. Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan
  • Received:2008-06-17 Revised:2008-12-15 Online:2009-03-05 Published:2009-03-01
  • Contact: Xiang-he PENG, Professor, E-mail: xhpeng@cqu.edu.cn E-mail:xhpeng@cqu.edu.cn

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摘要： Based on analysis of deformation in an infinite isotropic elastic matrix containing an embedded elliptic crack, subject to far field triaxial compressive stress, the energy release rate and a mixed fracture criterion are obtained by using an energy balance approach. The additional compliance tensor induced by a single closed elliptic microcrack in a representative volume element and its in-plane growth is derived. The additional compliance tensor induced by the kinked growth of the elliptic microcrack is also obtained. The effect of the microcracks, randomly distributed both in geometric characteristics and orientations, is analyzed with the Taylor’s scheme by introducing an appropriate probability density function. A micromechanical damage model for rocks and concretes under triaxial compression is obtained and experimentally verified.

关键词: elliptic microcrack, in-plane growth, kinked growth, energy release rate,micro-macro damage model

Abstract: Based on analysis of deformation in an infinite isotropic elastic matrix containing an embedded elliptic crack, subject to far field triaxial compressive stress, the energy release rate and a mixed fracture criterion are obtained by using an energy balance approach. The additional compliance tensor induced by a single closed elliptic microcrack in a representative volume element and its in-plane growth is derived. The additional compliance tensor induced by the kinked growth of the elliptic microcrack is also obtained. The effect of the microcracks, randomly distributed both in geometric characteristics and orientations, is analyzed with the Taylor’s scheme by introducing an appropriate probability density function. A micromechanical damage model for rocks and concretes under triaxial compression is obtained and experimentally verified.

Key words: elliptic microcrack, in-plane growth, kinked growth, energy release rate,micro-macro damage model

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