Safety Analysis of Spherical Shell Structures Subjected to External Pressure

To increase the safety of various spherical shell components under pressure environments, the present research deals with the study of elastic -plastic stresses in a spherical shell under the effect of external pressure. The solution of the problem has been obtained by using the Seth’s transition theory of elastic-plastic transitions. The transition theory does not assume classical assumptions like incompressibility and yield conditions. The radial and circumferential stresses have been calculated for the spherical shell for compressible as well as incompressible materials. It has been observed that the spherical shell made of incompressible material requires high pressure to start initial yielding in the shell as compared to spherical shell made of compressible material. The results derived are shown graphically.