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Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation

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Abstract

The present investigation is concerned with the reflection of plane waves at the free surface of a homogeneous, isotropic, nonlocal, micropolar rotating thermoelastic medium. The entire thermoelastic medium is rotating with a uniform angular velocity. It is observed that there exist four coupled plane waves, which travel through the medium with distinct speeds. Using appropriate boundary conditions, the reflection coefficients and energy ratios of various reflected waves are computed numerically with the help of the software MATLAB. The numerical values of modulus of reflection coefficients are presented graphically to show the effects of nonlocal, rotation and micropolar parameters. It has been verified that during reflection phenomena, the sum of modulus of energy ratios is approximately equal to unity at each angle of incidence. The effect of micropolarity on the phase velocities is also observed and shown graphically.

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Authors and Affiliations

  1. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001, India

    Kapil Kumar Kalkal, Devender Sheoran & Sunita Deswal

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  1. Kapil Kumar Kalkal
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  2. Devender Sheoran
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  3. Sunita Deswal
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Correspondence to Sunita Deswal.

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Kalkal, K.K., Sheoran, D. & Deswal, S. Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation. Acta Mech 231, 2849–2866 (2020). https://doi.org/10.1007/s00707-020-02676-w

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