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

Zuan Chen; Zhihe Jin; Xiaoge Huang; Shengwen Qi

doi:doi:10.11648/j.ajpa.20221002.11

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

Zuan Chen, Zhihe Jin, Xiaoge Huang, Shengwen Qi

Published in American Journal of Physics and Applications (Volume 10, Issue 2)

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), 2024. 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

Zuan Chen

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

Department of Mechanical Engineering, University of Maine, Orono, USA
Xiaoge Huang

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

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

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Plain Text BibTeX RIS

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download