Technical Brief

A Study on the Generalized Thermoelastic Problem for an Anisotropic Medium

[+] Author and Article Information
Debkumar Ghosh

Department of Mathematics,
Jadavpur University,
Kolkata 700 032, India
e-mail: debkumarghosh2020@gmail.com

Abhijit Lahiri

Department of Mathematics,
Jadavpur University,
Kolkata 700 032, India
e-mail: lahiriabhijit2000@yahoo.com

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 25, 2017; final manuscript received March 3, 2018; published online May 7, 2018. Assoc. Editor: Alan McGaughey.

J. Heat Transfer 140(9), 094501 (May 07, 2018) (8 pages) Paper No: HT-17-1497; doi: 10.1115/1.4039554 History: Received August 25, 2017; Revised March 03, 2018

A vector–matrix differential equation is formulated using normal mode analysis from the governing equations of a three-dimensional anisotropic half space in presence of heat source and gravity. The corresponding solution is obtained with the help of eigenvalue approach. Numerical computations for displacement, thermal strain and stress component, temperature distribution are evaluated and presented graphically.

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Grahic Jump Location
Fig. 1

Distribution of ζ11 versus x1 at Ω=0.8

Grahic Jump Location
Fig. 2

Distribution of  ζ23 versus x1 at Ω=0.8

Grahic Jump Location
Fig. 6

Distribution of ζ13 versus x1 for different Ω

Grahic Jump Location
Fig. 7

Distribution of T versus x1 and t for fixed Ω = 0.3

Grahic Jump Location
Fig. 4

Distribution of  ξ12 for different values of x1

Grahic Jump Location
Fig. 5

Distribution of ui versus x1 for different Ω

Grahic Jump Location
Fig. 3

Distribution of T for different values of x1 and t



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