Analysis of Shear Strain Localization in Thermal Visco-Plastic Materials.
Abstract
Simple shearing deformations are analyzed as a means of investigating the effects of strain hardening, thermal softening, and strain-rate sensitivity on the formation of shear bands. Linear stability analysis is conducted for perturbations from homogeneous, time varying deformations. Finite difference solutions are obtained for the fully nonlinear system of governing equations. Velocity boundary conditions are emphasized although solutions for the case of stress conditions are also presented. Three types of constitutive models are considered: the power law model, the Arrhenius law, and the Bodner-Merzer model. Inertia and heat conduction are included. Qualitative features of plastic response for the class of problems considered are illustrated by eighteen numerical solutions. Low strain hardening high thermal softening, and weak strain-rate sensitivity all contribute to shear strain localization. The size of an initial perturbation is important in the stability of solutions for the case of velocity boundary conditions, but it is less important for stress boundary conditions because of the inherent inhomogeneity of dynamic solutions in the latter case.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1983
- Accession Number
- ADA138186
Entities
People
- G. Majda
- R. J. Clifton
- T. G. Shawki
Organizations
- Brown University