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The Analysis of a Griffith Crack Embedded in a Thermo-poro-elastic Medium

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Abstract

The analytical solution of a thermo-poro-elastic medium in static state weakened by a Griffith crack with finite width is presented. By virtue of the Fourier cosine and sine integral transform techniques, the mixed boundary-value problem is formulated as three pairs of dual integral equations, which are solved with the help of the Abel transform. In addition, the stress intensity factor of mode I and the crack surface displacement are presented analytically. Numerical examples are performed to show the distribution of displacement and stress over the thermo-poro-elastic medium. The results indicate that the thermal load will increase or decrease the crack surface displacement, but has a weak influence on the stress intensity factor. The present work may benefit future engineering applications.

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Acknowledgements

The author, Yu Tan, is grateful for the help from Prof. Xiangyu Li and Dr. Taihong Wu.

Funding

This work was supported by the National Natural Science Foundation of China (No. 12202370) and the Research Startup Fund of Chengdu University of Technology (No. 10912-KYQD2022-09841).

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Authors and Affiliations

  1. College of Environment and Civil Engineering, Chengdu University of Technology, Chengdu, 610059, China

    Yu Tan

  2. School of Architecture and Civil Engineering, Xihua University, Chengdu, 610039, China

    Yi-en Wang

  3. School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Chang Liu

Authors
  1. Yu Tan
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  2. Yi-en Wang
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  3. Chang Liu
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Contributions

YT designed this study, carried out the analytical derivations and supervised the project. YW performed the numerical examples. CL contributed to manuscript writing.

Corresponding author

Correspondence to Yu Tan .

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Tan , Y., Wang, Ye. & Liu, C. The Analysis of a Griffith Crack Embedded in a Thermo-poro-elastic Medium. Acta Mech. Solida Sin. 36, 734–744 (2023). https://doi.org/10.1007/s10338-023-00400-4

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  • DOI: https://doi.org/10.1007/s10338-023-00400-4

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