Affiliation:
1. School of Mathematics and Statistics, University of Plymouth, Drake Circus, Plymouth PL4 8AA, United Kingdom
Abstract
The authors consider the plane-strain straightening of annular cylindrical sectors composed of isotropic, compressible, nonlinearly elastic solids. For zero-body forces and boundary conditions of place, the existence and uniqueness of solutions are established under the assumption that the material satisfies the tension-extension condition. The result is exemplified by considering a compressible neo-Hookean material and a generalized Blatz-Ko material for which closed-form solutions are displayed. Also discussed are certain cases of nonexistence and nonuniqueness of solutions.
Subject
Mechanics of Materials,General Materials Science,General Mathematics
Cited by
13 articles.
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