AXIALLY SYMMETRIC PLASTIC STRESS AND VELOCITY FIELDS
Abstract
A perfectly plastic material is assumed which obeys Tresca's yield criterion of constant maximum shearing stress (k) during plastic deformation. The velocity field is also assumed to have axial symmetry. The states of stress involving k are represented by points on the surface of a right prism which has a regular hexagon for its cross section. Plastic flow can occur under states of stress represented by points on the hexagon. The principal axes of the plastic strain rate coincide with the principal axes of stress because of the isotropic character of the material. The relations are listed which hold between the stresses and strain rates as the stress point moves around the hexagon. The principal components of the plastic strain rate are derived, and the restrictions imposed by axial symmetry are examined for the states of stress represented by the hexagon points. Analytical statements are presented for the condition that the rate of doing plastic work during deformation must be positive. A simple example is given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1953
- Accession Number
- AD0017945
Entities
People
- R. T. Shield
Organizations
- Brown University