Solution of the problems of a perforated disk,a conical bar,and a flat wedge of nonlinear viscoelastic material in pure shear,torsion, and bending,respectively

Exact solutions and approximations have been obtained for the problems of a disk with an opening twisted by opposite moments uniformly distributed over the inner and outer surfaces and of a conical bar twisted by a moment applied at the vertex of the cone. An approximate solution has been found for the problem of a flat wedge bent by pressure uniformly distributed along one of its sides. The disk is made of nonlinear viscoelastic material. In 1] it was proposed that problems for such a material be solved by the method of approximations. The rheological law of the nonlinear viscoelastic material of the cone and the wedge in Laplace—Carson transforms is the relation of the theory of small elastoplastic deformations with a power law of strain hardening.Institute of Electronic Engineering, Moscow. Translated from Mekhanika Polimerov, No. 6, pp. 1071–1076, November–December, 1971.