Combined torsional and circular shear of an incompressible nonlinear-elastic right-circular hollow cylinder is studied. A solution of the problem is obtained for an arbitrary elastic potential depending on the first invariant of the left Cauchy – Green deformation tensor solely (generalized neo-Hookean solid). For the Gent material, closed-form analytical solution is obtained. A rotary damper design based on the obtained solution is proposed. Formulas for the dissipation of kinetic energy caused by friction on the cylindrical surfaces of the pipe are derived. For a strain softening material, a numerical solution, which is compared with experimental results, is obtained.
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Sevastyanov et al. (2025) studied this question.
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