Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

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

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(3): 309-317

REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he. Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression[J]. Applied Mathematics and Mechanics, 2009, 30(3): 309-317.

Citation:

REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he. Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression[J]. Applied Mathematics and Mechanics, 2009, 30(3): 309-317.

Citation:

REN Zhong-jun, PENG Xiang-he, HU Ning, YANG Chun-he. Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression[J]. Applied Mathematics and Mechanics, 2009, 30(3): 309-317.

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Micromechanical Damage Model for Rocks and Concretes Under Triaxial Compression

1.
Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China;

Received Date: 2008-08-17
Rev Recd Date: 2008-12-25
Publish Date: 2009-03-15

Abstract

Abstract

Based on the analysis of the 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 were 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 was derived. The additional compliance tensor induced by the kinked growth of the elliptic microcrack was also obtained. The effect of the microcracks, randomly distributed both in geometric characteristics and orientations, was analyzed with the Taylor's scheme by introducing an appropriate probability density function. A micromechanical damage model for rocks and concretes under triaxial compression was obtained and experimentally verified.
- elliptic microcrack,
- in-plane growth,
- kinked growth,
- energy release rate,
- micro-macro damage model

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References(18)

References

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