A Time-Dependent Directional Damage Theory for Brittle Rocks Considering the Kinetics of Microcrack Growth

Sisodiya, Mitul; Zhang, Yida

doi:10.1007/s00603-021-02577-x

Title: A Time-Dependent Directional Damage Theory for Brittle Rocks Considering the Kinetics of Microcrack Growth

Journal Article · Thu Jul 22 00:00:00 EDT 2021 · Rock Mechanics and Rock Engineering

DOI:https://doi.org/10.1007/s00603-021-02577-x· OSTI ID:1842330

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Univ. of Colorado, Boulder, CO (United States)

In this work, a novel microcrack damage theory for describing the time-dependent behavior of brittle rocks is proposed. Instead of using scalar or tensorial variables to approximate the effect of microcracks, the concept of directional damage is introduced by upscaling the directional distribution density of microcracks through the noninteracting homogenization scheme. The contribution of an individual crack on global strain is first derived from the crack-opening displacements including sliding, closure, and dilation. The model is then cast in the free energy form, and the range of parameters ensuring compliance with the second law of thermodynamics is derived rigorously. Considering that the subcritical propagation of microcracks is the dominant mechanism behind the time-dependent deformation and failure of brittle rocks, the driving force for directional damage is defined as the corresponding energy release rate, and the effect of time is introduced through a damage evolution law inspired from the kinetics of subcritical crack growth. The model is applied to simulate the behavior of basalt rock under various loading conditions. In addition to predicting the stress–strain–time response, the model offers enhanced resolution in representing the anisotropic characteristics of microcrack-induced damage in brittle rocks and their time-dependent evolutions.

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Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: NE0008771; 7556334

OSTI ID:: 1842330

Journal Information:: Rock Mechanics and Rock Engineering, Vol. 55, Issue 5; ISSN 0723-2632

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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