Torsion of a Circular Solid Cylinder Made of Dilatant Material

In this paper, we study the effect of elastic constraint on the deformation of a dilatant material when an irreversible shear causes a change in volume. Two cases are considered: the constraint is caused by elastic ties external to the body and by an elastic core in the dilatant material itself. The first case is considered within the framework of a model problem, whereas the second case is considered by the problem of torsion of a round bar where the outer plastically deformable layers are compressed by the inner elastic core. The Drucker–Prager criterion is used as a yield criterion in the torsion problem.