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Tensor Analysis in Euclidean Space Using Curvilinear Coordinates Read chapter Read first chapter

2023 | OriginalPaper | Chapter

8. Saint-Venant Problem for General Cylindrical Shells

Authors : David J. Steigmann, Mircea Bîrsan, Milad Shirani

Published in: Lecture Notes on the Theory of Plates and Shells

Publisher: Springer Nature Switzerland

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Abstract

In this chapter we investigate the deformation of cylindrical linearly elastic shells using the Koiter model. We formulate and solve the relaxed Saint-Venant’s problem for thin cylindrical tubes made of isotropic and homogeneous elastic materials. We present a general solution procedure to determine closed-form solutions for the extension, bending, torsion and flexure problems. To this aim, we employ a method established in the three-dimensional theory of elasticity and determine the corresponding Saint-Venant’s solutions for shells [7]. Finally, the special case of circular cylindrical shells is discussed in details.

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previous chapter Buckling of Elastic Plates
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Metadata
Title
Saint-Venant Problem for General Cylindrical Shells
Authors
David J. Steigmann
Mircea Bîrsan
Milad Shirani
Copyright Year
2023
Book
Lecture Notes on the Theory of Plates and Shells

Print ISBN: 978-3-031-25673-8

Electronic ISBN: 978-3-031-25674-5

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-25674-5_8

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