Analysis of wave propagation in multi‐physical environments for double‐layer auxetic FGP sandwich plates resting on Kerr elastic foundation

Abstract

This is the first time the characteristics of wave propagation of infinite double‐layer auxetic functionally graded porous (FGP) sandwich plates connecting with shear connectors in a hygro‐thermal environment are explored. Each layer component consists of an auxetic FG sandwich material, which contains a core layer made of auxetic honeycomb, while the upper and bottom ones are made of FGP materials. The whole structure is placed on a three‐parameter Kerr elastic medium. Hamilton's principle is used to develop fundamental equations of motion. Then, a Navier closed‐form solution is employed to tackle propagating wave equations. By comparing the current findings with those found in the literature, the precision and validity of the suggested approach are proven. In addition, comprehensive parametric research is conducted to demonstrate the impact of the material‐graded value and shear connection on the propagation in the structure. In a hygro‐thermal condition, the outcomes of this study give early insights into wave propagation in double‐layer auxetic sandwich plates with shear connectors.