A NUMERICAL PROCEDURE FOR THE ANALYSIS OF CONTAINED PLASTIC FLOW PROBLEMS
Abstract
The development of a systematic numerical procedure for determining the displacements, strains, and stresses within a plane continuum is presented wherein certain regions have been strained beyond an elastic yield limit. Such a procedure should make possible the observation of the development of the stress and strain patterns around regions of high stress intensity. The procedure is restricted to plane, static problems; and the example problems are further restricted to plane strain conditions. The procedure itself is applicable to plane stress problems if the relations between stress and strain for plane stress conditions are substituted for those of plane strain. The material of the continuum is considered to be isotropic and elastic perfectly-plastic and the problems are solved for continuously increasing external loads. Unloading from a plastically strained state is not considered. The numerical procedure is essentially a relaxation technique applied to a discrete physical model composed of suitably arranged stress points and mass points. Plastic yielding and flow in the solid is characterized by the corresponding yielding and flow of the stress points of the model.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1963
- Accession Number
- AD0407055
Entities
People
- Artoni Kevin R. Ang
- G. N. Harper
Organizations
- University of Illinois Urbana–Champaign