On hygrothermal wave dispersion characteristics of embedded graphene foam

Abstract

This investigation discusses wave propagation characteristics of porous graphene foam (PGF) beam resting on an elastic medium within the framework of the refined higher-order beam theory for the first time. The beam is considered to be in the hygrothermal environment. Additionally, the pores are distributed through the thickness direction uniformly and symmetrically. The motion equations of the PGF beam are derived via the Hamiltonian approach incorporated with the kinetic relation of refined higher-order shear deformation beam theory. Next, an analytical method is implemented in order to solve the governing equations of the PGF beam. The various parameters’ effect, including wave number, porosity coefficient, various types of porosity distribution, Winkler–Pasternak coefficients, hygrothermal environment, and slenderness ratio on the variation of wave frequency and phase velocity of PGF beam are investigated.

KEYWORDS:

• Wave propagation
• graphene foam
• different porosity distributions
• hygrothermal environment
• an elastic medium
• refined higher-order beam theory
• analytical solution

Disclosure statement

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