TRANSIENT THERMOELASTIC PROBLEM FOR TWO
REGION CONCENTRIC CYLINDER WITH PERFECT
THERMAL CONTACT AT THE INTERFACE
Arti S. Sewalkar$^1$, Suchitra A. Meshram$^2$
$^{1,2}$Department of Mathematics
P.G.T.D. RTM Nagpur University
Nagpur, INDIA
Abstract. This paper is a treatment of a transient thermoelastic contact problem in two region concentric solid cylinder with perfect thermal contact at the interface subjected to convectional boundary condition at the outer surface $\textit{r} = \textit{b}$. The solution meets the boundary condition on both the lateral surfaces.

In order to analyse the problem, dimensionless quantities are used to develop the analysis of temperature field. We have used the method of generalized integral transforms. The dimensionless displacements and stresses have been attained using Goodier$'$s thermoelastic function $\phi$ and Love$'$s function L.

35A25, 74M99, 74K20
Keywords and phrases: concentric solid cylinders, perfect thermal contact at interface, dimensionless quantities, Goodier$'$s thermoelastic function, Love$'$s function


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i5.2

Volume: 28
Issue: 5
Year: 2015