Solutions for an infinite compressible nonlinearly elastic body under a line load

Authors:
Paul G. Warne and Debra A. Polignone

Journal:
Quart. Appl. Math. **54** (1996), 317-326

MSC:
Primary 73G05; Secondary 73C50

DOI:
https://doi.org/10.1090/qam/1388019

MathSciNet review:
MR1388019

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Abstract | References | Similar Articles | Additional Information

Abstract: The axisymmetric deformation of a nonlinearly elastic isotropic compressible infinite elastic body subjected to a concentrated vertical line load is considered. We first derive the solution to this problem within the context of the linear theory of elasticity. We then obtain the governing equations for the nonlinear problem via the Principle of Stationary Potential Energy, and use these equations to obtain classes of compressible finite elasticity solutions for the line load problem. Finally, a comparison with finite anti-plane shear of compressible isotropic materials is made.

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Additional Information

DOI:
https://doi.org/10.1090/qam/1388019

Article copyright:
© Copyright 1996
American Mathematical Society