Blast loading of fully clamped circular plates with transverse shear effects

The dynamic response of a fully clamped circular plate, which is made from a rigid, perfectly plastic material, is investigated with the aid of the extended Johansen yield criterion which retains the influence of the transverse shear force as well as the bending moments. Theoretical solutions are obtained for a general blast loading distributed uniformly over the entire area of a plate. The effects of different boundary conditions, pressure pulse loading shapes and the influence of the transverse shear force on the dynamic plastic response of circular plates are explored. It is found that Youngdahl's correlation parameters may be used to eliminate the effect of the pulse loading shape on the dynamic response of circular plates. The critical conditions are predicted for a transverse shear severance to occur at the supports of a circular plate (mode III failure) when transverse shear effects are retained in the yield condition. Theoretical predictions for the impulsive loading case are compared with the bound theorem predictions, which reveals that the lower bound results give good agreement with the corresponding theoretical results.