Constitutive Equations for Cyclic Loading of Rate Dependent Materials.
Abstract
The constitutive equations that have been developed by the authors to represent elastic-viscoplastic, strain-hardening materials have been modified to apply to changes in the direction of stressing. This modification involves altering the strain-hardening parameters with a change in the sign of the stress and also adding a linear viscosity term to the plastic deformation rate. These modifications are shown to have a physical basis and enable the constitutive equations to predict the general features of cyclic stress-strain behavior at various extensions rates and strain amplitudes including the tendency toward a limit cycle. An unusual feature of cyclic loading tests on some metals is a local concavity of the stress-strain curve which is predicable by these equations. Cyclic stress-strain curves were calculated for titanium for various conditions and compared to corresponding experimental results.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1976
- Accession Number
- ADA027655
Entities
People
- S. R. Bodner
- Y. Partom
Organizations
- Technion – Israel Institute of Technology