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Coexistent phase mixtures in the anti-plane shear of an elastic tube

by

R.L. Fosdick and Y. Zhang

in

Zeit. Angew. Math. Phys., 45, 202-244, 1994.

Category: Journal Article

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Abstract:

In 1949, Rivlin [10] applied the general theory of non-linear elasticity for an incompressible, isotropic, homogeneous body to study the helical shearing of a circular tube for a Mooney material. About 25 years later, Ogden, Chadwick & Haddon [9] reconsidered this problem in some detail for more general materials. In neither of these works was there an emphasis placed upon any detailed structure of the stored energy function for the material and how that might relate to the possible existence of equilibrium states other than those described.


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