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Mathematics and Mechanics of Solids
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On the Straightening of Compressible, Nonlinearly Elastic, Annular Cylindrical Sectors

M. Aron

C. Christopher

Y. Wang

School of Mathematics and Statistics, University of Plymouth, Drake Circus, Plymouth PL4 8AA, United Kingdom

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.

Mathematics and Mechanics of Solids, Vol. 3, No. 2, 131-145 (1998)
DOI: 10.1177/108128659800300201
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M. Aron
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