A Theory for the Small Deformations of Cylindrical Shells, Vol. 1: Rotationally Symmetric Deformations (Classic Reprint) - Hardcover

Edward L. Reiss

9780484004756: A Theory for the Small Deformations of Cylindrical Shells, Vol. 1: Rotationally Symmetric Deformations (Classic Reprint)

Hardcover

ISBN 10: 0484004751 ISBN 13: 9780484004756

Publisher: Forgotten Books, 2018

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Explore a rigorous approach to bending and stress in cylindrical shells.

This graduate-level text advances thin-shell theory by presenting a thick-shell framework that combines interior solutions with boundary-layer analysis to approximate three-dimensional stresses in a cylinder.

Readers gain a clear method for linking interior stress fields to edge effects, using two complementary expansions: interior expansions for the shell’s interior and boundary-layer expansions near the edges. The book shows how to derive boundary conditions from the boundary layer, then match these with interior solutions to accurately describe stresses throughout the shell. It introduces the idea of a thick-shell theory of order N, where zeroth and higher-order corrections refine the classical results for more realistic three-dimensional behavior.

Understand how interior and boundary-layer analyses work together to model stresses in cylindrical shells.
See how boundary conditions arise from boundary-layer behavior and how they influence interior problems.
Learn a systematic way to build thick-shell theories of increasing order for improved accuracy.
Apply these methods to assess transverse shear and normal stresses beyond thin-shell approximations.

Ideal for readers of advanced elasticity, applied mathematics, and mechanical engineering, especially those researching shell structures and their edge effects.

nonfiction

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