4.7 Article

An asymptotically exact first-order shear deformation theory for functionally graded plates

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2023.103875

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Functionally graded; Plate; Variational-asymptotic method; Wave propagation; Dispersion curves

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An asymptotically exact first-order shear deformation theory for functionally graded elastic plates is derived using the variational-asymptotic method. An analytical solution to the problem of wave propagation in a sandwich plate is found in accordance with this refined theory. Comparison between the dispersion curves obtained by 2-D plate theory and 3-D elasticity theory reveals that the former is accurate up to the order of h(2)/l(2), where h is the plate thickness and l the wavelength.
An asymptotically exact first-order shear deformation theory for functionally graded elastic plates is derived using the variational-asymptotic method. As an application, an analytical solution to the problem of wave propagation in a sandwich plate is found in accordance with this refined theory. Comparison between the dispersion curves obtained by 2-D plate theory and 3-D elasticity theory reveals that the former is accurate up to the order of h(2)/l(2), where h is the plate thickness and l the wavelength.

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