Bending wave at the edge of a thermally affected functionally graded poroelastic plate

Abstract

This study examines the propagation characteristics of flexural edge waves in a functionally graded poroelastic plate within a thermal environment. A transversely isotropic, functionally graded porous material plate supported by a Pasternak elastic foundation is introduced to analyze the dynamics of bending edge wave. Kirchhoff plate theory and Moore–Gibson–Thomson (MGT) thermoelasticity theory are introduced to study the displacement field and the temperature distributions on the plate respectively. Seven different porosity models are tested in this study to compare edge wave behavior in different porous structures. It is found that the decay's constant for edge wave propagation depends implicitly on frequency and wave number for each of the seven cases. The dispersion relation is derived using the plane harmonic wave propagating along the free edge of the plate. On analyzing the model, it is evident that waves exhibit a cut-off frequency due to an elastic foundation, dependent only on the Winkler modulus. The impact of various parameters, such as porosity and temperature, on the traveling edge wave is illustrated numerically and discussed in terms of their physical behavior. © 2023 Elsevier Ltd