Abstract
In the present paper, a complete Stroh-type formalism for the problems of anisotropic thin plates with bending-extension coupling is developed. The formalism includes two forms, the hybrid formalism and the displacement formalism, which are related to each other. Both the hybrid and the displacement formalisms with their respective structures of eigenrelations and general solutions are perfectly alike to the Stroh formalism for plane strain problems. Therefore, most of the identities and mathematical techniques developed for the Stroh formalism can be conveniently transferred and applied to the two formalisms. The hybrid Stroh-type formalism is suitable for mixed boundary value problems, while the displacement Stroh-type formalism is suitable for displacement- or stress-only boundary value problems. As applications of the Stroh-type formalism, several problems are solved. One is the derivation of singular solutions for an anisotropic thin plate with bending-extension coupling. The other is the analysis of an anisotropic plate with a hole solved by the displacement formalism.
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