Quasi-Static Thermal Stresses in a Robin’s Thin Hollow Cylinder with Internal Moving Heat Source
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 8, Issue 1
Abstract
This paper is a transient non-homogeneous thermoelastic problem with Robin’s boundary condition in thin hollow cylinder of isotropic material of inner radius , outer radius and height occupying region R: having initial temperature placed in an ambient temperature zero. The cylinder is subjected to the activity of moving heat source along circular trajectory of radius where around the centre of the cylinder with constant angular velocity . The heat conduction equation containing heat generation term is solved by applying integral transform technique and Green’s theorem is adopted in deriving the solution of the heat conduction equation. The solution is obtained in a series form of Bessel function and trigonometric function and thermal stresses are derived.
Authors and Affiliations
D. T. Solanke , M. H. Durge
Keywords
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