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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Shell Mathematical Models
verfasst von : Dominique Chapelle, Klaus-Jürgen Bathe
Erschienen in: The Finite Element Analysis of Shells — Fundamentals
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this chapter we describe and analyse the linear shell models that we consider in this book. We first describe the fundamental shell kinematics used. Then we discuss the “basic shell model” which is implicitly employed in general finite element solutions and from which other classical shell and plate models can be derived. We summarize the shell models that we call the “shear-membrane-bending model” and the “membrane-bending model”, and introduce the proper mathematical framework in which they define well-posed problems. As special cases of these shell models we obtain well-known plate models.