Some problems of simple finite deformation of viscoelastic bodies

Boltzmann's superposition principle is extended to large strains in the case where the principal strain axes do not change with time and are identically directed at all points of the body. The relations obtained are confirmed by experiment. On the basis of these relations the author examines the problem of large strains of a heated viscoelastic cylinder subjected to the action of time-dependent internal and external pressures, and the analogous problem in the presence of a reinforcing cylindrical shell. The solution of the solving nonlinear integral equation of the latter problem is unique and is obtained in the form of a convergent infinite series.Mekhanika Polimerov, Vol. 2, No. 4, pp. 508–518, 1966