On the Propagation of Maximally Dissipative Phase Boundaries in Solids
Abstract
This paper is concerned with the kinetics of propagating phase boundaries in a bar composed of a special nonlinearly elastic material. First, it is shown that there is a kinetic law of the form f phi s-dot relating the driving traction f at a phase boundary to the phase boundary velocity s-dot that corresponds to a notion of maximum dissipation analagous to the concept of maximum plastic work. Second, it is shown that a modified version of the entropy rate admissibility criterion can also be described by a kinetic relation of the above form, but with a different s-dot. Both kinetic relations are applied to the Riemann problem for longitudinal waves in the bar.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1990
- Accession Number
- ADA227800
Entities
People
- James K. Knowles
- Rohan Abeyaratne
Organizations
- California Institute of Technology