Abstract
An investigation is developed to analyze the heat-induced wave propagation characteristics of imperfect functionally graded material (FGM) sandwich cylindrical shells composed of a metal core layer and two functionally graded materials (FGMs) surface layers in a thermal environment by using the first-order shear deformation (FSD) shell theory. The temperature-dependent material properties are assumed to vary continuously along the thickness direction. Two types of porosity in FGMs layers of sandwich cylindrical shells are taken into account. To describe the porosity effects, the new porosity function composed of the porosity distribution function, core-to-thickness ratio, and porosity volume fraction is proposed. A novel thermal strain energy approach is established for cylindrical shell structures in a high-temperature environment by introducing Green’s nonlinear strains. The Hamilton’s principle is applied to derive the wave motion equations that govern the wave propagation behaviors. The analytical solutions of dispersion relations are determined by solving a generalized eigenvalue problem. In addition, a parametric investigation is conducted to study the effects of axial and circumferential wave number, porosity type and volume fraction, core-to-thickness ratio, power-law exponent, temperature changes, and radius-to-thickness ratio on the wave propagation characteristics of imperfect FGM sandwich cylindrical shells in high-temperature environments.
Published Version
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