Stability of the elastoplastic thin round cylindrical shells subjected to torsional moment at two extremities

Abstract

An elastic stability problem of the thin round cylindrical shells subjected to torsional moment at two extremities has been investigated in the paper [6]. By the small elastoplastic deformation theory and by the flow theory, this problem again has been studied in [2] and [4]. Basing on the theory of elastoplastic processes the above mentioned problem has been solved by approach simulation of instability form of the cylinder (see [1],[5]). In this paper, the solution of problem in the real bending form of structure has been found. We have also established the relations for determining critical force. Some numerical results for a linear hardening material have been given and discussed.