Fundamental solution of steady oscillations in thermoelastic medium with voids |
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Authors: | Siddhartha Biswas |
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Institution: | 1. Department of Mathematics, University of North Bengal, Darjeeling, India siddharthabsws957@gmail.comhttps://orcid.org/0000-0002-3599-3431 |
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Abstract: | ABSTRACT The article deals with the study of plane wave propagation in the thermoelastic medium in the presence of voids. The problem is considered in the context of three-phase-lag model of generalized thermoelasticity. There exists three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The phase velocity and attenuation coefficient of these waves are computed numerically and presented graphically. |
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Keywords: | Fundamental solution plane waves steady oscillations voids three-phase-lag model |
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