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• W83149007 abstract "This chapter presents a self-contained development of linear shell theory, which included a review of mathematical preliminaries necessary for the concise and efficient development of the structural theory and subsequent finite element implementation. Linear shell theory serves as a model problem for the subsequent developments; it is a problem that embodies many important mechanical, geometrical, and numerical analysis concepts. As becomes apparent in the subsequent chapters on nonlinear rods and shells, much of the complexity in these models stems from the nature of the structural analysis (and therefore is present in this introductory chapter on linear shell theory), rather than from the nonlinear kinematics or exact geometric treatment of the models. Important details, such as parameterization or the definition of stress resultants, can be isolated from the treatment of large deformation. The finite element implementation of linear shell theory is illustrated with a four-node quadrilateral element." @default.
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• W83149007 date "2014-01-01" @default.
• W83149007 modified "2023-09-24" @default.
• W83149007 title "Background Mathematics and Linear Shell Theory" @default.
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• W83149007 doi "https://doi.org/10.1016/b978-1-85617-634-7.00010-7" @default.
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