Abstract." Constitutive equations and failure conditions for homogeneous isotropic materials, which take into account the volume expansion and the StrengthDifferential effect, are presented.It is shown that the deformation behaviour of sintered powder materials in uniaxial compression and the yield behaviour of some polymers can be described satisfactorily by using a special pressure dependent yield criterion.Finally a modification of this yield criterion is proposed for anisotropic polymers. Good agreement between theory and experimental observations is obtained.