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A simplified multiscale damage model for the transversely isotropic shale rocks under tensile loading
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Mousavi Nezhad, Mohaddeseh, Zhu, Hehua, Woody Ju, J. and Chen, Qing (2016) A simplified multiscale damage model for the transversely isotropic shale rocks under tensile loading. International Journal of Damage Mechanics, 25 (5). pp. 705-726. doi:10.1177/1056789516639531 ISSN 1056-7895.
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Official URL: http://dx.doi.org/10.1177/1056789516639531
Abstract
A simplified multiscale damage model is proposed for the transversely isotropic shale rocks under tensile loading. In this framework, the multiscale representations for the shale rocks are presented by introducing the microcrack-weakened equivalent solid with hierarchical microstructures, whose transversely isotropic properties are obtained by performing multilevel homogenization procedures. To simplify the calculation process for the damage-induced properties, the equivalent isotropic medium is attained by applying the Voigt–Reuss–Hill averaging process to the transversely isotropic solid. Subsequently, the microcrack-induced inelastic compliances are approximately derived in terms of microcrack opening displacements in the equivalent isotropic medium of the shale rock under tensile loading. The sizes and orientations of microcracks are taken as random variables. Both stationary and evolutionary damage models are considered. Microcrack kinetic equations are characterized through the use of a fracture mechanics-based stability criterion and microcrack geometry within a representative volume element. Numerical examples including experimental validations and comparisons with existing micromechanical models are presented to verify the proposed multiscale damage model. Finally, the influences of the silt inclusions and porosity on the material intrinsic and damage-induced properties are discussed.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QE Geology | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
| Library of Congress Subject Headings (LCSH): | Shale, Fracture mechanics, Micromechanics, Homogenization (Differential equations) | ||||||||
| Journal or Publication Title: | International Journal of Damage Mechanics | ||||||||
| Publisher: | Sage Publications Ltd. | ||||||||
| ISSN: | 1056-7895 | ||||||||
| Official Date: | 1 July 2016 | ||||||||
| Dates: |
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| Volume: | 25 | ||||||||
| Number: | 5 | ||||||||
| Page Range: | pp. 705-726 | ||||||||
| DOI: | 10.1177/1056789516639531 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 27 February 2017 | ||||||||
| Date of first compliant Open Access: | 27 February 2017 | ||||||||
| Funder: | University of Warwick Research Development Fund, National Key Technology R&D Program of China, Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC) | ||||||||
| Grant number: | 973 Programme, No. 2011CB013800 (National Key Technology R&D Program of China), 51508404 (NSFC) |
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