What is it about?
This work studies the dispersion relations of wave propagation in infinite advanced (FGM) plates. The influences of gradation power, porosity and the viscoelastic foundation's parameters on wave propagation in an FG plate are examined and discussed .
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Why is it important?
This article deals with the wave propagation characteristics of infinite FG ceramic-metal plates with porosity resting on a viscoelastic foundation. A simple four-variable integral hyperbolic shear deformation plate theory is proposed for the solution. This theory implies two undetermined integral terms with a hyperbolic shape function in the displacement field to describe the shear rotations in both the xz-plane and the yz-plane with a single unknown while satisfying the boundary conditions in both faces of the plate without the need for shear correction coefficients.
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This page is a summary of: An integral four-variable hyperbolic HSDT for the wave propagation investigation of a ceramic-metal FGM plate with various porosity distributions resting on a viscoelastic foundation, Waves in Random and Complex Media, June 2021, Taylor & Francis,
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An integral four-variable hyperbolic HSDT for the wave propagation investigation of a ceramic-metal FGM plate with various porosity distributions resting on a viscoelastic foundation
ABSTRACT: This work studies the dispersion relations of wave propagation in infinite advanced functionally graded (FG) ceramic-metal plates. A simple integral hyperbolic higher-order shear deformation theory (HSDT), with undetermined integral terms and only four unknowns, is used to formulate a solution for the waves’ dispersion relations. The effective functionally graded materials’ (FGM) properties follow the power-law with three different types of uneven porosity distributions. The effect of foundation viscosity is investigated by considering the damping coefficient in addition to Winkler’s and Pasternak’s parameters. The wave propagation’s governing equations are derived based on the present integral hyperbolic HSDT using Hamilton’s principle. The eigenvalue problem describing the porous FG plate dispersion relations resting on a viscoelastic foundation is analytically determined. The theory accuracy is validated by numerically comparing the results with previously published works. Finally, the influences of gradation power, porosity parameters, and the viscoelastic foundation parameters on wave propagation in an FG plate are examined and discussed.
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