Elastic Strain-Hardening Behavior of Rotating Thin Shells of Revolution of Arbitrary Shape

摘要

This thesis is concerned with the development of an elastic-strain-hardening solution for rotating thin shells of revolution of arbitrary shape. Included also is a numerical investigation of the elastic-plastic behavior of a flat disk, a 30/degree/ cone and a spherical shell with tapering thickness. The derivation of the governing differential equations is based on the Tresca yield criteria with elastic-strain-hardening and a sandwich shell approximation. A two point finite difference scheme is used to integrate the governing equations. Rewriting the finite difference equations as vector equations at discrete points along the midsurface of the shell, the resulting recurrence formula has been reduced to a set of six simultaneous linear algebraic equations by means of a matrix inversion technique. The algebraic equations are in turn solved by the triangulation process. These numerical solutions have been programmed for the University of Virginia B5500 digital computer. 10 refs., 26 figs., 2 tabs.