BLAST LOADING OF A SHORT CYLINDRICAL-SHELL WITH TRANSVERSE-SHEAR EFFECTS

The dynamic response of a ''short'' cylindrical shell, which is made from a rigid, perfectly plastic material, is investigated in this paper. The plastic behaviour of the material is controlled by a cubic yield condition which retains the transverse shear force as well as the circumferential membrane force and the longitudinal bending moment. Theoretical solutions are presented for a blast pressure loading and for boundary conditions represented by the parameter k(0 less than or equal to k less than or equal to 1), where k = 0 and k = 1 correspond to simply supported and fully clamped boundary conditions, respectively. The limitation of the theoretical predictions, as well as the effects of transverse shear force, pulse loading shapes and boundary conditions, are examined in this paper. It is found that Youngdahl's correlation parameters may be used to eliminate the effect of the pulse loading shape when transverse shear forces are retained in the yield condition. The present theoretical results are combined with an elementary failure criterion to predict the critical conditions for a transverse shear failure. The displacement bound theorems provide good agreement with the present theoretical results for the maximum permanent displacements of impulsively loaded fully clamped cylindrical shells when transverse effects are retained in the basic equations.