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Equivalent elastic compliance tensor for rock mass with multiple persistent joint sets: Exact derivation via modified crack tensor

  • Geological, Civil, Energy and Traffic Engineering
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Abstract

Discontinuities constitute an integral part of rock mass and inherently affect its anisotropic deformation behavior. This work focuses on the equivalent elastic deformation of rock mass with multiple persistent joint sets. A new method based on the space geometric and mechanical properties of the modified crack tensor is proposed, providing an analytical solution for the equivalent elastic compliance tensor of rock mass. A series of experiments validate the capability of the compliance tensor to accurately represent the deformation of rock mass with multiple persistent joint sets, based on conditions set by the basic hypothesis. The spatially varying rules of the equivalent elastic parameters of rock mass with a single joint set are analyzed to reveal the universal law of the stratified rock mass.

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Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, China

    Jie Cui  (崔洁), Quan Jiang  (江权), Xia-ting Feng  (冯夏庭), Shao-jun Li  (李邵军), Hong Gao  (高红) & Shuai-jun Li  (李帅军)

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  1. Jie Cui  (崔洁)
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  2. Quan Jiang  (江权)
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  3. Xia-ting Feng  (冯夏庭)
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  4. Shao-jun Li  (李邵军)
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  5. Hong Gao  (高红)
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  6. Shuai-jun Li  (李帅军)
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Correspondence to Quan Jiang  (江权).

Additional information

Foundation item: Projects(41172284, 51379202) supported by the National Natural Science Foundation of China; Project(2013CB036405) supported by the National Basic Research Program of China; Project(2013BAB02B01) supported by the National Key Technologies R&D Program of China

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Cui, J., Jiang, Q., Feng, Xt. et al. Equivalent elastic compliance tensor for rock mass with multiple persistent joint sets: Exact derivation via modified crack tensor. J. Cent. South Univ. 23, 1486–1507 (2016). https://doi.org/10.1007/s11771-016-3201-2

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  • DOI: https://doi.org/10.1007/s11771-016-3201-2

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