Some Results on the One-Dimensional Coupled Nonlinear Thermoviscoelastic Wave Propagation Problem in a Semi-Infinite Rod with Finite Thermal Wave Speed.
Abstract
One-dimensional stress and temperature fields in a suddenly loaded and/or heated semi-infinite rod of nonlinear thermoviscoelastic material are studied using coupled thermomechanical theory. The transport of heat is governed by the modified Fourier heat conduction law, and thus proceeds by wave propagation rather than by diffusion. The application of thermal and mechanical disturbances at the end of the rod gives rise to two wave fronts along which these disturbances propagate. Field solutions for the stress and temperature are obtained by numerical integration along the five characteristics of the governing equations, and results are presented for several linear and nonlinear viscoelastic models. A closed form solution is also obtained via the Laplace transform for the special case of an uncoupled thermal wave. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1978
- Accession Number
- ADA062253
Entities
People
- Colin A. Lee
- Francis A. Cozzarelli
- W. P. Chang
Organizations
- University at Buffalo