Strain states and fracture conditions for rigid-plastic bodies

Abstract

In this paper, within the framework of the theory of strengthening rigid-plastic bodies, the strain-energy fracture criterion is suggested. Strain states of a rigidplastic body are represented in the form of points in the space of principal strains and (in the case of incompressible bodies) produce the third-order hyperbolic surface. Deformation processes are represented by lines on this surface. We introduce the concept of a loading surface associated with level lines of the deformation surface. The loading surface makes it possible to isolate the energy dissipation as a parameter determining the fracture.