Plane Waves in an Elastic-Plastic Halfspace Due to Combined Surface Pressure and Shear

摘要

The most general case of plane wave propagation, when normal and shear stresses occur simultaneously, is considered in a material obeying the v. Mises yield condition. The resulting non-linear differential equations have not previously been solved for any boundary value problem, except for special situations where the differential equations degenerate into linear ones. In the present paper, the stresses in a half-space, due to a uniformly distributed step load of pressure and shear on the surface, are obtained in closed form. (Author)