Abstract.

Propagation of torsion waves in a viscoelastic cone of semi-infinite and finite lengthare examined by the Laplace integral transform method and the method of separation of vari-ables. The inverse transforms for elastic cone are obtained using the contour integration methodand the residue theory. Using this solution and the solution of auxiliary one-dimensional prob-lem for viscoelastic half-space with any hereditary function, it is proved that the solution forviscoelastic cone is in the form of generalized convolution of these solutions

Keywords:

viscoelastic cone, creep kernel, half-space, cylinder, Bessel and Legendre functions,Laplace transform