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 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.