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ORIGINAL PAPER
Uniqueness, reciprocity theorems and plane wave propagation in different theories of thermoelasticy
R. Kumar 1
,
 
V. Gupta 1
 
 
 
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Department of Mathematics, Kurukshetra University Kurukshetra 136119, Haryana INDIA
 
 
Online publication date: 2014-03-07
 
 
Publication date: 2013-12-01
 
 
International Journal of Applied Mechanics and Engineering 2013;18(4):1067-1086
DOI: https://doi.org/10.2478/ijame-2013-0067
 
 
Article (PDF)
References (29)
 
KEYWORDS
isotropic
thermoelasticity
uniqueness theorem
reciprocity theorem
plane wave
 
ABSTRACT
In this work, a compact form of different theories of thermoelasticity is considered. The governing equations for particle motion in a homogeneous isotropic thermoelastic medium are presented. Uniqueness and reciprocity theorems are proved. The plane wave propagation in a homogeneous isotropic thermoelastic medium is studied. For a three dimensional problem there exist four waves, namely a P-wave, two transverse waves (S1, S2) and a thermal wave (T). From the obtained results the different characteristics of waves such as the phase velocity and attenuation coefficient are computed numerically and presented graphically. Some special cases are also discussed.
 
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