Circular shearing and torsion of generalized neo-Hookean materials

In this paper, the authors study circular shearing and torsion in generalized power-law neo-Hookean materials. For special values of the power-law exponent, explicit exact solutions can be established. In general, the governing equation is nonlinear and has to be solved numerically. This notwithstan...

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Bibliographic Details
Published in:IMA journal of applied mathematics 1992, Vol.48 (1), p.23-37
Main Authors: TAO, L., RAJAGOPAL, K. R., WINEMAN, A. S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:In this paper, the authors study circular shearing and torsion in generalized power-law neo-Hookean materials. For special values of the power-law exponent, explicit exact solutions can be established. In general, the governing equation is nonlinear and has to be solved numerically. This notwithstanding, some qualitative features of the general solutions can be discussed. The results corresponding to the neo-Hookean material can be obtained by setting the power-law exponent to unity. For values of the power-law exponent close to 0.5, a pronounced boundary layer type of solution is found.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/48.1.23