ELASTIC-PLASTIC ANALYSIS OF A ROTATING CYLINDER
Abstract
Most plasticity problems are analyzed only after some simplifying assumptions are made. First, the deformations are assumed to be small enough to make infinitesimal strain theory applicable. Second, various simplifications are made regarding the constitutive equations of the material. The usual assumptions are to neglect either or both of elastic strains and plastic strainhardening. If elastic strains are considered, the resulting equations are usually simplified byASSUMING ELASTIC INCOMPRESSIBILITY. The effects of these various assumptions on a simple problem of practical interest are examined. The behavior of a rotating cylinder with a slowly increasing angular speed which takes it successively through fully elastic, elastic/plastic, and fully plastic states is considered. Geometry changes due to deformation, strain hardening, elastic strains, and elastic compressibility are each assessed for their effects on both the speeds and deformations at various stages. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1962
- Accession Number
- AD0272549
Entities
People
- Martin Balaban
- Philip G. Jr. Hodge
Organizations
- Illinois Institute of Technology