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Quasi-3D Refined Theory for Functionally Graded Porous Plates: Displacements and Stresses

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Abstract

This paper presents a higher-order shear and normal deformation theory for the static problem of functionally graded porous thick rectangular plates. The effect of thickness stretching in the functionally graded porous plates is taken into consideration. The functionally graded porous material properties vary through the plate thickness with a specific function. The governing equations are obtained via the virtual displacement principle. The static problem is solved for a simply supported plate under a sinusoidal load. The exact expressions for displacements and stresses are obtained. The influences of the functionally graded and porosity factors on the displacements and stresses of porous plates are discussed. Some validation examples are presented to show the accuracy of the present quasi-3D theory in predicting the bending response of porous plates. The effectiveness of the present model is evaluated by numerical results that include displacements and stresses of functionally graded porous plates. The field variables of functionally graded plates are very sensitive to the variation of the porosity factor.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    A. M. Zenkour

  2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt

    A. M. Zenkour

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  1. A. M. Zenkour
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Russian Text © The Author(s), 2019, published in Fizicheskaya Mezomekhanika, 2019, Vol. 22, No. 1, pp. 22–35.

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Zenkour, A.M. Quasi-3D Refined Theory for Functionally Graded Porous Plates: Displacements and Stresses. Phys Mesomech 23, 39–53 (2020). https://doi.org/10.1134/S1029959920010051

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  • DOI: https://doi.org/10.1134/S1029959920010051

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