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.

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