Limit Pressures of Circular Cylindrical Shells Subject to Rigid Displacement Constraints.

摘要

The exact limit pressure is examined for a circular cylindrical shell rigidly supported at both ends. The Tresca yield criterion is assumed,with shear deformation neglected. Exact velocity and stress field equations are derived. It is found that the limit pressure is reached only asymptotically. In other words,plastic rupture occurs only if a 'small'central ring force is applied,if the velocity field is to remain finite. As expected,result shows an inverse correlation between the shell length and the yield pressure. Calculations are obtained by introducing a small perturbing outward central ring force. (Author)