Abstract
In this article we obtain closed-form solutions for the combined inflation and axial shear of an elastic tube in respect of the compressible isotropic elastic material introduced by Levinson and Burgess. Several other boundary-value problems are also examined, including the bending of a rectangular block and straightening of a cylindrical sector, both coupled with stretching and shearing, and an axially varying twist deformation. Some of the solutions appear in closed form, others are expressible in terms of elliptic functions.
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Kirkinis, E., Ogden, R. & Haughton, D. Some solutions for a compressible isotropic elastic material . Z. angew. Math. Phys. 55, 136–158 (2004). https://doi.org/10.1007/s00033-003-3048-x
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DOI: https://doi.org/10.1007/s00033-003-3048-x