Abstract

The dislocation punching (plastic relaxation) from spherical inclusions is examined. The plastic stran in the punched domain is determined by assuming that all geometrically necessary dislocations are punched out to the plastic-elastic boundary. By introducing impotent eigenstrains, the elastic state calculation is greatly simplified. The punching distance is determned by the balance between the punching force due to the elastic energy decrease and the retarding force due to the disspation energy needed for the plastic deformation. The punching distance is also examined in terms of stresses at the plastic domain boundary where the deformation carrying dislocations exist. The effect of the volume fraction of inclusions is discussed and is shown to sensitively depend on the elastic constants ofthe inclusions. An increase in flow stress due to statistically stored dislocations in the wake of punching is evaluated.

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