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Closed-form solution of an arbitrarily laminated, anisotropic, elliptic plate under uniform pressure

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Abstract

A closed-form solution for an arbitrarily laminated, anisotropic plate subjected to uniform loading is presented here for the first time. The theory used is the well-established theory of thin, heterogeneous, anisotropic plates due to Reissner and Stavsky. All components of the stretching, bending-stretching coupling, and bending stiffness matrices are included. The specific geometry considered is an elliptic plate clamped both flexurally and in-plane at its edge.

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Bert, C.W. Closed-form solution of an arbitrarily laminated, anisotropic, elliptic plate under uniform pressure. J Elasticity 11, 337–340 (1981). https://doi.org/10.1007/BF00041944

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  • DOI: https://doi.org/10.1007/BF00041944

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