pure and applied geophysics

, Volume 101, Issue 1, pp 28–37 | Cite as

Generalized thermoelastic longitudinal waves in unbounded medium

  • Harinder Singh
  • A. Singh
Article
  • 35 Downloads

Summary

In this paper the generalized thermoelastic longitudinal waves and the temperature field set up due to coupling of the displacement and the temperature fields, with heat wave travelling with certain finite velocity, in an unbounded medium are studied. The thermoelastic displacement potential and the temperature field at any point are obtained in terms of the surface integrals involving the potential, the temperature and their normal derivatives.

Keywords

Longitudinal Wave Temperature Field Heat Wave Normal Derivative Surface Integral 

Notation

xi

the cartesian coordinate system,i=1,2,3

n

(ui) the displacement vector

(δ/δxi) the del operator

δt

δ/δt the derivative with respect to time

To

the temperature corresponding to the natural stat of zero stress and strain

T

Absolute temperature

ce

the specific heat

λ, μ

Lamé's constants

ϱ0

the density

α

coefficient of linear thermal expansion

K

thermal conductivity coefficient

kk

u

τ0

the relaxation time

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    W. Nowacki,Some dynamic problems in thermoelasticity, Arch. Mech. Stos.,11 (1959), 259–283.Google Scholar
  2. [2]
    W. Nowacki,Certain dynamic problems in thermoelasticity, Bull. Acad. Polon. Sci. Ser. Sci. Tech.13 (1956), 657–666.Google Scholar
  3. [3]
    W. Nowacki,Quelques théorèmes de la thermoélasticité, Rev. Roumaine Sci-Tech. Ser. Mech. Appl.11 (1966), 1173–1183.Google Scholar
  4. [4]
    W. Nowacki,Thermoelastic waves in an unbounded medium, Polish Academy of Sciences Warszawa.Google Scholar
  5. [5]
    R. B. Hetnarski,Solution of the coupled problem of thermoelasticity in the form of series of functions. Arch. Mech. Stos.16 (1964), 913–941.Google Scholar
  6. [6]
    H. W. Lord andY. Shulman,A generalized dynamical theory of thermoelasticity, J. Mech. Phy. Solids15 (1967), 299–309.Google Scholar

Copyright information

© Birkhäuser Verlag 1972

Authors and Affiliations

  • Harinder Singh
    • 1
  • A. Singh
    • 2
  1. 1.Mathematics DepartmentKhalsa CollegeAmritsarIndia
  2. 2.Mathematics DepartmentPunjabi UniversityPatialaIndia

Personalised recommendations