Structural Inelasticity. XII. Large Rotationally-Symmetric Plastic Deformations of a Sandwich-Toroidal Shell.
Abstract
A nonlinear theory of large rotationally-symmetric plastic deformation of a sandwich-toroidal shell has been formulated. The generating curve for the toroid is assumed to be open and of an arbitrary shape. Deformation of the shell, described by the linear Cauchy's measure, is governed by the Love-Kirchhoff hypothesis. On the basis of the principle of virtual work non-linear equations of equilibrium have been derived. The material of the sandwich sheets is assumed to be rigid/perfectly-plastic and to obey the Levy-Mises theory of plastic flow and Huber-Mises-Hencky yield condition. The fundamental equations have been reduced to a system of six, coupled, ordinary, nonlinear differential equations which are, however, linear with respect to the first derivatives of unknown functions. By the use of a numerical procedure the initial/boundary problem can be reduced to a boundary value problem only, for each step of the loading process. Different types of boundary problems as well as continuity requirements have been discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1975
- Accession Number
- ADA023965
Entities
People
- Jacek Skrzypek
- Philip G. Hodge Jr.
Organizations
- University of Minnesota