Combined extension and torsion of a swollen cylinder within the context of mixture theory

The problem of a cylindrical mixture of a nonlinearly elastic solid and an ideal fluid subjected to combined finite axial extension and torsion is considered. In previous work, a "universal relation" has been presented by assuming a small angle of twist. In this work, the general problem f...

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Bibliographic Details
Published in:Acta mechanica 1989-08, Vol.79 (1-2), p.81-95
Main Authors: GANDHI, M. V, USMAN, M, WINEMAN, A. S, RAJAGOPAL, K. R
Format: Article
Language:English
Subjects:
elasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
torsion
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Summary:The problem of a cylindrical mixture of a nonlinearly elastic solid and an ideal fluid subjected to combined finite axial extension and torsion is considered. In previous work, a "universal relation" has been presented by assuming a small angle of twist. In this work, the general problem for the finite deformation of the swollen cylinder is discussed in the context of Mixture Theory. Computational results for the variation of the radial and tangential stretch ratios and the distribution of the fluid in the swollen deformed state are presented. The results demonstrate that the swollen volume of a cylinder reduces with twisting when the axial stretch ratio is held constant. Computational results for the reduction in the swollen volume predict the same qualitative and quantitative trends as observed in experimental results.
ISSN:0001-5970
1619-6937
DOI:10.1007/BF01181481