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

2023 | OriginalPaper | Chapter

7. Buckling of Elastic Plates

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

The classical theory of plate buckling is shown here to emerge from our dimension reduction procedure applied to incremental elasticity theory, concerned with the linearized theory or small deformations superposed upon large. Plate buckling theory emerges as the leading-order-in-thickness model when the underlying pre-stress scales appropriately with respect to thickness.

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previous chapter Nonlinear Equations for Plates and Shells
next chapter Saint-Venant Problem for General Cylindrical Shells
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Metadata
Title
Buckling of Elastic Plates
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_7

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