Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Pure torsion of compressible non-linearly elastic circular cylinders


Authors: Debra A. Polignone and Cornelius O. Horgan
Journal: Quart. Appl. Math. 49 (1991), 591-607
MSC: Primary 73G05; Secondary 73C50, 73K05
DOI: https://doi.org/10.1090/qam/1121689
MathSciNet review: MR1121689
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Abstract: The large deformation torsion problem of an elastic circular cylinder, composed of homogeneous isotropic compressible nonlinearly elastic material and subjected to twisting moments at its ends, is described. The problem is formulated as a two-point boundary-value problem for a second-order nonlinear ordinary differential equation in the radial deformation field. The class of materials for which pure torsion (i.e., a deformation with zero radial displacement) is possible is described. Specific material models are used to illustrate the results.


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DOI: https://doi.org/10.1090/qam/1121689
Article copyright: © Copyright 1991 American Mathematical Society


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