Analytical investigation of wave propagation in bidirectional FG sandwich porous plates lying on an elastic substrate

Abstract

This paper deals with the wave propagation analysis of bidirectional functionally graded (BDFG) porous sandwich plates lying on an elastic foundation within the framework of the quasi-3D shear deformation theory. The mechanical properties of the BDFG plates vary continuously in both axial and thickness directions according to a power law. The sandwich plate’s behavior is modeled by means of quasi-3D displacement field that contains undetermined integral terms and involves only four unknown functions. The BDFG porous sandwich plate is considered to be rest on two kinds of elastic foundation, variable and visco-elastic. The principle of Hamilton is used to reach motion equations of BDFG porous sandwich plates. Then, governing equations are derived for the wave propagation problem based on the present quasi-3D theory and solved analytically. The results of the present work are validated by comparing with those available in the literature works. A parametric study is conducted to show the effect of material gradation, core-to-thickness ratio, porosity volume fraction, and elastic foundation on the wave propagation. The results reveal that these parameters have a great influence on the wave propagation in porous BDFG sandwich plates resting on elastic foundations.

KEYWORDS:

• BDFG sandwich plates
• quasi-3D model
• porosity
• wave propagation
• variable elastic foundation
• viscoelastic foundation

Disclosure statement

No potential conflict of interest was reported by the author(s).