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Three-dimensional fundamental solution in transversely isotropic thermoelastic diffusion material
Theoretical and applied mechanics, Tome 39 (2012) no. 2, p. 165 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The aim of the present investigation is to study the fundamental solution for three dimensional problem in transversely isotropic thermoelastic diffusion medium. After applying the dimensionless quantities, two displacement functions are introduced to simplify the basic three-dimensional equations of thermoelastic diffusion with transverse isotropy for the steady state problem. Using the operator theory, we have derived the general expression for components of displacement, mass concentration, temperature distribution and stress components. On the basis of general solution, three dimensional fundamental solutions for a point heat source in an infinite thermoelastic diffusion media is obtained by introducing four new harmonic functions. From the present investigation, a special case of interest is also deduced to depict the effect of diffusion.
DOI : 10.2298/TAM1202163K
Classification : 80A20 80A17
Keywords: Thermoelastic diffusion, fundamental solution, Transverse isotropic, heat source. 
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     title = {Three-dimensional fundamental solution in transversely isotropic thermoelastic diffusion material},
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     pages = {165 },
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     volume = {39},
     number = {2},
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     zbl = {1299.80007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1202163K/}
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Rajneesh Kumar; Vijay Chawla. Three-dimensional fundamental solution in transversely isotropic thermoelastic diffusion material. Theoretical and applied mechanics, Tome 39 (2012) no. 2, p. 165 . doi: 10.2298/TAM1202163K

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