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TECHNICAL PAPERS

Effects of Thermomechanical Coupling and Relaxation Times on Wave Spectrum in Dynamic Theory of Generalized Thermoelasticity

[+] Author and Article Information
C. S. Suh

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849

C. P. Burger

Mechanical Engineering Department, Texas A&M University, College Station, TX 77843-3123

J. Appl. Mech 65(3), 605-613 (Sep 01, 1998) (9 pages) doi:10.1115/1.2789101 History: Received April 03, 1997; Revised December 09, 1997; Online October 25, 2007

Abstract

A spectral study is performed to gain insight into the effects of relaxation times and thermomechanical coupling on dynamic thermoe Iastic responses in generalized thermoelasticity. The hyperbolic thermoelastic theories of Lord and Schulman (LS) and Green and Lindsay (GL) are selected for the study. A generalized characteristic equation is derived to investigate dispersion behavior of thermoelastic waves as functions of thermomechanical coupling and relaxation time constants. Thermomechanical coupling is found to impose a significant influence on phase velocities. The GL model implicitly indicates that the order of magnitude of the thermomechanical relaxation time can never be greater than that of thermal relaxation time.

Copyright © 1998 by The American Society of Mechanical Engineers
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