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Mechanical Behavior of a Functionally Graded Rectangular Plate Under Transverse Load: A Cosserat Elasticity Analysis

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Abstract

In this article, a static analysis of a functionally graded (FG) rectangular plate subjected to a uniformly distributed load is investigated within the framework of Timoshenko and the higher order shear deformation beam theories. The mechanical behavior of the plate is analysed under the theory of Cosserat elasticity. In the framework of infinitesimal theory of elasticity, the bending of the plate is analyzed subjected to transverse loading. A set of governing equations of equilibrium are obtained based on the method of hypothesis. A semianalytical solution is presented for the governing equations using the approximation theory of Timoshenko. The solutions are validated by comparing the numerical results with their counterparts reported in the literature for classical Timoshenko plate theory.

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  1. Department of Mathematics, IIEST, Shibpur, Howrah, India

    Soumen Shaw

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  1. Soumen Shaw
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Correspondence to Soumen Shaw.

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Shaw, S. Mechanical Behavior of a Functionally Graded Rectangular Plate Under Transverse Load: A Cosserat Elasticity Analysis. J Fail. Anal. and Preven. 17, 690–698 (2017). https://doi.org/10.1007/s11668-017-0292-5

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  • DOI: https://doi.org/10.1007/s11668-017-0292-5

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