A generalized plane-strain theory for transversally isotropic plates

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2003

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Kotooussov, A.
Wang, C.

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Acta Mechanica, 2003; 161(1-2):53-64

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Abstract

By adopting Kane and Mindlin’s assumption that the through-the-thickness extensional strain is uniform through the plate thickness, a generalized plane-strain theory is developed for transversely isotropic plates. The three-dimensional governing equations are successfully reduced to two coupled equations in the two-dimensional space. With the new theory, explicit solutions of the three-dimensional stresses, especially the through-the-thickness component, around a circular hole and a V-shaped notch in a transversely isotropic plate of arbitrary thickness are derived. The analytical solutions are verified by comparing with finite element results.

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The original publication can be found at www.springerlink.com

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