Abstract
The two-dimensional solutions are presented for the propagation of torsional waves in an elastic/viscoplastic circular cylinder subjected to a dynamically applied shear stress with non-linear radial variation at its end surface. The equations governing the dynamic torsional deformation of the cylinder are solved by using the method of numerical integration along bicharacteristics. The distributions of the dynamic shear stresses in the vicinity of the impact end of the circular cylinder are studied to determine the limitations of the elementary theory of torsional wave propagation. The numerical results for the torsional elastic waves in the circular cylinder are shown to be in good agreement with the existing exact solutions.
