Abstract
In this paper, an analytical approach to the static behavior of functionally graded material(FGM) cylindrical shells with simply supported edges is developed. The Poisson’s ratios ofthe FGM shell are assumed to be constant, but it is the modulus of elasticity which variescontinuously through the radial direction according to the exponential function. The shellhas finite length and embedded piezoelectric layers. The partial differential equilibriumequations as well as the stress–displacement relations are reduced to the ordinary one withconstant coefficient by using the Fourier series expansion. Finally, the problem is solved byusing the state space method. Numerical results are given to demonstrate theaccuracy of the presented method. The influences of the gradient index, appliedvoltage and radius to thickness ratios on the static behavior of FGM shells are alsostudied.
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