Exact analytical solution to a rigid/plastic problem with hardening and damage evolution

The paper deals with a rigid cone having a rough wall, that rotates around its axis of symmetry in an incompressible rigid/plastic solid. It is assume d that the shear yield stress of the solid depends on the equivalent strain and a damage variable. The exact analytical solution to this problem is gi ven. The plastic zone, where hardening and softening due to damage occur, d evelops near the cone. The remainder of the solid is rigid. The stress fiel d is extended into the rigid zone. It is shown that for any hardening law c ommonly used for metals the solution does not exist after some amount of de formation, in particular it may not exist at all. (C) Academie des sciences /Elsevier, Paris.