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A comprehensive nonlinear theoretical model of asymmetric anisotropic doubly curved laminated composite sandwich plates and shells which includes the effects of a transversely compressible core as well as the thermal terms is presented thereby capturing the wrinkling phenomenon and the thermal effects of the structural response. Within the theory, a first-order power series is assumed for the transversal displacement of the core, while a second-order expansion is assumed for the tangential displacements. The strain-displacement and the constitutive equations are based on the nonlinear Green-Lagrange strain-displacement equations, incorporating the stress-free initial geometric imperfections, and the generalized Hooke’s Law, respectively. By virtue of Hamilton’s PrincipleHamilton’s Principle, the governing equations of motion are derived

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Theory of Sandwich Plates and Shells with a Transversely Compressible Core

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  • 发表日期：

    2026年

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  • Terry John Hause

摘要

A comprehensive nonlinear theoretical model of asymmetric anisotropic doubly curved laminated composite sandwich plates and shells which includes the effects of a transversely compressible core as well as the thermal terms is presented thereby capturing the wrinkling phenomenon and the thermal effects of the structural response. Within the theory, a first-order power series is assumed for the transversal displacement of the core, while a second-order expansion is assumed for the tangential displacements. The strain-displacement and the constitutive equations are based on the nonlinear Green-Lagrange strain-displacement equations, incorporating the stress-free initial geometric imperfections, and the generalized Hooke’s Law, respectively. By virtue of Hamilton’s PrincipleHamilton’s Principle, the governing equations of motion are derived