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Because of extensive industrial applications of polymers, several continuum and material science studies have focused on the polymers' viscohyperelasticity characterization. Although finite element methods have powerful ability in simulating complex materials' mechanical behavior, involve high computational costs. Therefore in this article mechanical responses of polymeric viscohyperelastic materials are studied by examining simultaneous extension and torsion of a cylinder thorough proposing new semi-analytical solutions. A comparison between the results of this method and finite element ones reveals the efficiency of proposed solutions in viscohyperelastic materials' parameter calibration and geometrical parameters' change on time-dependent large deformations, under combined loading conditions.

Finite strain relaxation and creep in coupled axial and torsional deformation