Quasi-Static Thermal Stresses In Rectangular Plate With Internal Moving Heat Source

Abstract

In this paper, authors considered transient non-homogeneous thermoelastic problem with Neumann’s
boundary condition in thin rectangular plate of isotropic material, occupying region
D: 0 ? x ? a, 0 ? y ? b,0 ? z ? h}. Initial temperature of the plate is f(x, y, z) and plate is placed in an
ambient zero temperature. The plate is subjected to the activity of moving point heat source at point
(x?, y?, z?)moving with constant velocity vector u u i u j u k 1 2 3 + + = where 321 , , uuu are the
components of velocity vector along x, y, z axes respectively. 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 heat conduction equation. The solution is obtained in a
series form of trigonometric function and the thermal stresses are derived.