Effects of Thermomechanical Coupling and Relaxation Times on Wave Spectrum in Dynamic Theory of Generalized Thermoelasticity-Reference-Cited by-同舟云学术

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

Published:1998-09-01 Issue:3 Volume:65 Page:605-613
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Suh C. S.¹,Burger C. P.²

Affiliation:

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

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

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/65/3/605/5465779/605_1.pdf

Reference15 articles.

1. Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, American Elsevier, New York.

2. Chandrasekharaiah D. S. , 1986, “Thermoelasticity With Second Sound: A Review,” ASME Appl. Mech. Review, Vol. 39, pp. 355–376.

3. Chen T.-C. , and WengC.-I., 1988, “Generalized Coupled Transient Thermoelastic Plane Problems by Laplace Transform/Finite Element Method,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 55, pp. 377–382.

4. Doyle J. F. , 1988, “Spectral Analysis of Coupled Thermoelastic Waves,” Journal Therm. Stresses, Vol. 11, pp. 175–185.

5. Green A. E. , and LindsayK. E., 1972, “Thermoelasticity,” Journal Elasticity, Vol. 2, pp. 1–7.

Cited by 23 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An improved theory of thermoelasticity for ultrafast heating of materials using short and ultrashort laser pulses;International Journal of Heat and Mass Transfer;2023-11

2. Numerical analysis of deformation and failure mechanism of metal truss structure of spacecraft under re-entry aerothermodynamic environment;Aerospace Science and Technology;2022-11

3. Numerical analysis of dynamic thermoelastic problem combined with non-Fourier heat transfer equation by finite-difference time-domain method;Transactions of the JSME (in Japanese);2021

4. Analysis of harmonic plane wave propagation predicted by strain and temperature-rate-dependent thermoelastic model;Waves in Random and Complex Media;2020-05-04

5. Thermoelastic Waves;Encyclopedia of Continuum Mechanics;2020