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A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures

Received: 16 February 2022     Accepted: 3 March 2022     Published: 11 March 2022
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Abstract

During rheological process of rocks at high temperatures and pressures, damage occurs when the visco-plastic strains accumulate to a certain level. Damage is assumed to start accumulating at the onset of tertiary creep. The evolution of damage can lead to localized deformation and eventual failure of the rock. This paper develops a damage constitutive relation and damage evolution equation for rheological failure of rocks based on the theory and method of damage mechanics. A method of determining the material constants in the constitutive relation and damage evolution equation is proposed and employed to estimate the parameters for marble based on the experiment results. One numerical example explaining deep earthquake occurrence is presented to illustrate the application of the constitutive relation and damage evolution equation. The numerical results indicate that the proposed constitutive and damage equations are capable of predicting earthquake occurrence based on the shear stress evolution. The proposed damage constitutive relation and damage evolution equation for rheological failure of rocks provide a theoretical base for numerical calculation simulating geodynamics process inside earth interior.

Published in American Journal of Physics and Applications (Volume 10, Issue 2)
DOI 10.11648/j.ajpa.20221002.11
Page(s) 24-32
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Rock Rheology, Damage, Constitutive Equation, Evolution Equation

References
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  • APA Style

    Zuan Chen, Zhihe Jin, Xiaoge Huang, Shengwen Qi. (2022). A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures. American Journal of Physics and Applications, 10(2), 24-32. https://doi.org/10.11648/j.ajpa.20221002.11

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    ACS Style

    Zuan Chen; Zhihe Jin; Xiaoge Huang; Shengwen Qi. A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures. Am. J. Phys. Appl. 2022, 10(2), 24-32. doi: 10.11648/j.ajpa.20221002.11

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    AMA Style

    Zuan Chen, Zhihe Jin, Xiaoge Huang, Shengwen Qi. A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures. Am J Phys Appl. 2022;10(2):24-32. doi: 10.11648/j.ajpa.20221002.11

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  • @article{10.11648/j.ajpa.20221002.11,
      author = {Zuan Chen and Zhihe Jin and Xiaoge Huang and Shengwen Qi},
      title = {A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures},
      journal = {American Journal of Physics and Applications},
      volume = {10},
      number = {2},
      pages = {24-32},
      doi = {10.11648/j.ajpa.20221002.11},
      url = {https://doi.org/10.11648/j.ajpa.20221002.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20221002.11},
      abstract = {During rheological process of rocks at high temperatures and pressures, damage occurs when the visco-plastic strains accumulate to a certain level. Damage is assumed to start accumulating at the onset of tertiary creep. The evolution of damage can lead to localized deformation and eventual failure of the rock. This paper develops a damage constitutive relation and damage evolution equation for rheological failure of rocks based on the theory and method of damage mechanics. A method of determining the material constants in the constitutive relation and damage evolution equation is proposed and employed to estimate the parameters for marble based on the experiment results. One numerical example explaining deep earthquake occurrence is presented to illustrate the application of the constitutive relation and damage evolution equation. The numerical results indicate that the proposed constitutive and damage equations are capable of predicting earthquake occurrence based on the shear stress evolution. The proposed damage constitutive relation and damage evolution equation for rheological failure of rocks provide a theoretical base for numerical calculation simulating geodynamics process inside earth interior.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - A Damage Mechanics Analysis on Rheological Failure of Rocks Under High Temperatures and Pressures
    AU  - Zuan Chen
    AU  - Zhihe Jin
    AU  - Xiaoge Huang
    AU  - Shengwen Qi
    Y1  - 2022/03/11
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ajpa.20221002.11
    DO  - 10.11648/j.ajpa.20221002.11
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 24
    EP  - 32
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20221002.11
    AB  - During rheological process of rocks at high temperatures and pressures, damage occurs when the visco-plastic strains accumulate to a certain level. Damage is assumed to start accumulating at the onset of tertiary creep. The evolution of damage can lead to localized deformation and eventual failure of the rock. This paper develops a damage constitutive relation and damage evolution equation for rheological failure of rocks based on the theory and method of damage mechanics. A method of determining the material constants in the constitutive relation and damage evolution equation is proposed and employed to estimate the parameters for marble based on the experiment results. One numerical example explaining deep earthquake occurrence is presented to illustrate the application of the constitutive relation and damage evolution equation. The numerical results indicate that the proposed constitutive and damage equations are capable of predicting earthquake occurrence based on the shear stress evolution. The proposed damage constitutive relation and damage evolution equation for rheological failure of rocks provide a theoretical base for numerical calculation simulating geodynamics process inside earth interior.
    VL  - 10
    IS  - 2
    ER  - 

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Author Information
  • Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China

  • Department of Mechanical Engineering, University of Maine, Orono, USA

  • Key Laboratory of Earth and Planetary Physics, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China

  • Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China

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