Stretching the circular cylindrical elastic sheet

Author:
B. F. Bowman

Journal:
Quart. Appl. Math. **38** (1980), 313-322

MSC:
Primary 73C20

DOI:
https://doi.org/10.1090/qam/592198

MathSciNet review:
592198

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Abstract | References | Similar Articles | Additional Information

Abstract: The theory of thin elastic sheets, neglecting bending, is applied to many thin surface problems. The classical theory for these surfaces is inadequate when the strains are small, the surface is unstressed before deformation, and boundary displacements are prescribed. The equations in this case are degenerate. Attempts to solve the exact equations for these elastic membranes have failed for small strains. The purpose of this paper is to determine the behavior of the solution to the exact equations for the elastic surface which is initially a circular cylinder and which is deformed by a uniform pull at the ends keeping the end radii fixed. A resolution of the small-strain behavior both analytically and numerically is of particular importance.

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Additional Information

DOI:
https://doi.org/10.1090/qam/592198

Article copyright:
© Copyright 1980
American Mathematical Society