Wave analysis in porous thermoelastic plate with microtemperature

Author:

Rani Pooja1ORCID,Kumar Rajneesh2,Partap Geeta1

Affiliation:

1. Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology Jalandhar Punjab India

2. Department of Mathematics Kurukshetra University Kurukshetra Haryana India

Abstract

AbstractIn the current study, wave analysis in porous thermoelastic plates with microtemperature subject to insulated or isothermal boundaries is the main focus. The governing equations, after expressing for the two‐dimensional case, are converted into nondimensional quantities. For further simplification, potential functions have been used. The normal mode analysis technique is applied to solve the problem. This technique is an influential methodology that furnishes suitable solutions with no presumed limitations. For stress‐free insulated, or isothermal boundaries, the frequency equations for symmetric and skew‐symmetric modes of wave propagation are derived. The attributes of waves (phase velocity, attenuation coefficient, specific loss, and penetration depth) are computed numerically and presented graphically to show the impacts of porosity and microtemperature. Particular cases of porous thermoelastic plates and thermoelastic plates with microtemperatures are presented. The present problem provides a theoretical foundation for the design and development of new composite materials and surface acoustic devices.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mechanics

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