A Numerical Method for the Limit Analysis of General Shells of Revolution : 2nd Report, Lower Bound Method

Abstract

A lower bound method of limit analysis of shells of revolution is proposed. The shell is assumed composed of a rigid/perfectly plastic material obeying the Tresca yield condition. The proposed method uses a part of the correct yield surface for shells of revolution, and gives statically admissible solutions. Using this method, the limit loads for two problems are calculated: (1) pressure vessels with rigid circular plates and (2) torispherical pressure vessels. The calculated results are shown in figures and compared with solutions by other methods. Further, experiments are performed with the torispherical pressure vessels, and their results are compared with the calculated results.