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Thermo-Hydro-Mechanical Interaction in a Poroelastic Half-Space with Nonlocal Memory Effects

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Abstract

The present analysis aims to develop a new mathematical model describing hydro-mechanical interaction based on the nonlocal theory proposed by Eringen for a poroelastic half-space. The bounding plane of the porous medium is subjected to prescribed mechanical and thermal loading. The heat transport law for the problem is governed within a sliding interval in the context of memory dependent Dual-phase lag model. Incorporating the normal mode analysis, the solutions of the field quantities have been derived and also have been depicted graphically. Through the discussion of the computational results and the graphical representations, significant effects of the effective parameters such as nonlocal parameter, time-delay has been studied. How the selection of various kernel function reflects in the distribution of the thermophysical quantities have also been reported. A complete and comprehensive analysis is also done to conclude the superiority of a nonlinear kernel over the linear kernel functions of the heat transport equation.

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Acknowledgements

The authors would like to thank the Editor and the anonymous referees for their comments and suggestions on this paper.

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  1. Department of Mathematics, Basirhat College, Basirhat, West Bengal, India

    Sudip Mondal

  2. Department of Mathematics, Sister Nivedita University, Chakpachuria, West Bengal, India

    Abhik Sur

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Mondal, S., Sur, A. Thermo-Hydro-Mechanical Interaction in a Poroelastic Half-Space with Nonlocal Memory Effects. Int. J. Appl. Comput. Math 10, 68 (2024). https://doi.org/10.1007/s40819-024-01717-5

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