Analytical solution of the problem of repeated imposition of large tension-compression and torsion deformations in a multilayered viscoelastic cylinder

The problem of repeated imposition of large tension-compression and torsion deformations is solved for a sequentially formed multilayered cylinder, each layer of which is made of a viscoelastic incompressible material. After attaching each successive layer, tension-compression and torsion of the composite cylinder is performed. Based on the description of the formation and deformation of the cylinder, a mathematical formulation of the problem is given for the quasi-static case and the main steps of its exact analytical solution are described. The results of numerical calculations are presented.