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Fundamental solution of steady oscillation in swelling porous thermoelastic medium

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Abstract

The present paper studies the fundamental solution and plane wave propagation in swelling porous thermoelastic material. It is observed that there exist three longitudinal waves and two transversal waves propagating with different velocities. Numerical computations are performed to obtain the phase velocity and attenuation coefficients of plane waves in the medium and the values so obtained are presented graphically. By means of elementary functions for swelling porous thermoelastic medium in case of steady oscillations, the fundamental solution is obtained. Some basic properties of this solution are established and special cases are also deduced.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136 119, India

    Rajneesh Kumar

  2. Department of Mathematics, Kishan Lal Public College, Rewari, Haryana, 123401, India

    Divya Batra

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  1. Rajneesh Kumar
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  2. Divya Batra
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Correspondence to Divya Batra.

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Kumar, R., Batra, D. Fundamental solution of steady oscillation in swelling porous thermoelastic medium. Acta Mech 231, 3247–3263 (2020). https://doi.org/10.1007/s00707-020-02704-9

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  • DOI: https://doi.org/10.1007/s00707-020-02704-9

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