On the Thermodynamics of Nonlinear Single Integral Representations for Thermoviscoelastic Materials with Applications to One-Dimensional Wave Propagation.
Abstract
Thermodynamic theory is used to develop single integral constitutive relations for the nonlinear thermoviscoelastic response to arbitrary stress and temperature histories; the thermomechanically coupled energy equation is also obtained. The thermorheologically simple material, modified superposition and the isotropic stress power law are discussed in detail. A modified Fourier heat conduction law is employed to ensure that the propagation of thermal disturbances takes place at a finite velocity. Using the nonlinear thermoviscoelastic stress power law along with the linearized energy equation and modified Fourier law, one-dimensional wave front solutions are obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1975
- Accession Number
- ADA013399
Entities
People
- Francis A. Cozzarelli
- W. P. Chang
Organizations
- University at Buffalo