Dynamic plastic behavior of circular plate using unified yield criterion

摘要

Dynamic plastic behavior of a rigid-plastic simply supported circular plate under moderate partial uniformly distributed impulsive load is complemented by using a unified yield criterion which consists of a generic of convex piecewise linear yield criteria. Upper bound and lower bound plastic responses of the plate under rectangular pulse are obtained: response behavior of the plate with respect to the Mises criterion is derived by a proximal manner. The inconstant circumferential moment distribution and the non-linear flow velocity distribution in the periods corresponding to the two motion phases are suggested in this paper. Static and kinematic admissibility of the dynamic plastic solutions is discussed and two types of moment profiles for the plates under intense dynamic load are supposed for studying in the future. Materials: carbon steel and aluminum base alloy.