Scherfugenbildung bei verallgemeinerter Hypoelastizität
Using a non-linear constitutive equation for sand with fixed material constants a necessary criterion for the shear band formation is expressed analytically. The shear band is considered as a shearing zone which may appear spontaneously in the course of a homogeneous plane deformation of a sand sample. The introduced criterion predicts not only the stress state at the moment of shear band formation but also the inclination of the shear band and the angle of initial dilatancy within the shear zone in a realistic way. As an example of application, the criterion has been applied to a finite element program which simulates the discharge of sand from a silo. © 1989 Springer-Verlag.