Impulsive Response Analysis Of Circular Plates In View Of Unified Yield Criterion
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.
Investigating the dynamic plastic response behavior in view of the UYC has theoretical
significance and wide-range applications. The math-ematical expression of the UYC is
piecewise linear, so it can be conveniently used to perform plastic limit analyses of
axisymmetric structures. The authors presented the exact static plastic solutions of simply
supported circular plates subjected to partial uniform distributed pressure in view of the UYC.
In this paper, dynamic plastic responses are obtained for circular plate subjected to a
uniformly distributed moderate pulse with rectangular pressure-time history. The entire plate
is divided into two different regions corresponding to two related yield lines. A series of
results in specific conditions of the UYC are derived and compared mutually.