Development of a Simplified Theoretical Model for Dynamic Burst Time And Pressure of a Cylindrical Shell

Abstract

The object of this study is to determine the short-term burst pressure and time of metal cylinders under short- term dynamic loading conditions. A simplified theoretical model to calculate these dynamic burst time and pressure of cy- lindrical shells has been developed and the results are compared with finite element analysis (FEA) results via the use of the LS-DYNA code (1). Based on the agreement between the two results, it can be concluded that a properly formulated simplified theoretical model can be employed with sufficient accuracy to determine the short-term dynamic burst pres- sures of metal cylinders. In the 1950's, Cooper (2) developed an analytical equa- tion to predict the static burst pressure for cylinders made of an isotropic ductile material. This equation provided the de- sired relationship between the burst pressure, material char- acteristics, original dimensions, and ultimate tensile strength of the material. At the same time, Svensson (3) derived a solution of the burst pressure for an arbitrary thick end- capped pipe based on the von-Mises yield criterion. Tadmor et al. (4) developed an analytical expression of the burst pressure of multilayered cylinders. They performed a large strain analysis, taking into consideration the elastic-plastic deformation with the Hill yield function and arbitrary hard- ening. An overall effective modulus was used to determine the onset of bursting, and they then derived the relations for thin-walled cylinders with the neglect of the elastic strains. Klever (5) presented an analytical model to determine the burst strength of the thin-wall uncorroded and corroded pipe- lines. The model results compared well with those of an un- corroded pipe test. Stewart et al. (6) re-examined the funda- mental relationships that govern the equilibrium and stability