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Computers and Concrete Volume 27, Number 3, March 2021 , pages 269-282 DOI: https://doi.org/10.12989/cac.2021.27.3.269 |
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Dynamic response of functionally graded plates with a porous middle layer under time-dependent load |
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Nadiia V. Dergachova and Guangping Zou
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| Abstract | ||
| A dynamic analytical solution for a simply supported, rectangular functionally graded plate with a porous middle layer under time-dependent load based on a refined third-order shear deformation theory with a cubic variation of in-plane displacements according to the thickness and linear/quadratic transverse displacement is presented. The solution achieved in the trigonometric series form and rests on the Green's function method. Two porosity types and their influence on material properties, and mechanical behavior are considered. The network of pores is assumed to be empty or filled with low-pressure air, and the material properties are calculated using the power-law distribution idealization. Numerical calculations have been carried out to demonstrate the accuracy of the kinematic model for the dynamic problem, the effect of porosity, thickness of porous layers, power-law index, and type of loading on the dynamic response of an imperfect functionally graded material plate. | ||
| Key Words | ||
| functionally graded plate; porous; refined third-order shear deformation theory; dynamic response; timedependent load | ||
| Address | ||
| Nadiia V. Dergachova and Guangping Zou: School of Aerospace and Civil Engineering, Harbin Engineering University, 145 Nantong Street, Harbin 150001, PR China | ||