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Elasticity Solutions for Functionally Graded Circular Plates

B. YANG, H.J. DING, W.Q. CHEN

Abstract


England (2006) proposed a novel theory to study the bending problem of isotropic functionally graded plates subject to transverse biharmonic loads. His theory is extended here to functionally graded plates of transversely isotropic materials. Using the complex variable method, the governing equations of three plate displacements appearing in the expansions of the displacement field are formulated based on the three-dimensional theory of elasticity for a transverse load satisfying the biharmonic equation. The elasticity solutions of an FGM circular plate under biharmonic polynomial loads are derived. Numerical comparison with available solution indicates a good agreement. The effects of related parameters are also discussed.

Keywords


Functionally graded materials; Circular plates; Transversely isotropic; England’s Theory; Elasticity solutionsText

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