Abstract: Under the assumption that the yielding phenomenon is not effected by the meanstress, the strain history of a material can be described by a spatial curve (strain trace) in fivedimensional deviatoric strain space. Stresses are functions of the strain trace. We assume thatthe ideal homogeneous matrix obeys the Mises yielding criterion and isotropic hardening. Butwhen the second particles exist, the stress concentration will occur around the second particlesand the residual stresses occur under unloading. When...