Deformation of characteristic curves of the plane ideal plasticity equations by point symmetries

The hyperbolic system of plane ideal plasticity equations under the Saint-Venant-Mises' yield criterion is considered. Its' characteristics curves are deformed by the action of admitted group of point transformations, that permits to construct a new analytical solution. The mechanical sense of obtained characteristic fields is discussed. The general algorithm of the relation of solutions of quasilinear hyperbolic system of two homogeneous equations of two independent variables is proposed. © 2009 Elsevier Ltd. All rights reserved