Thermal deflection and thermal stresses in a thin circular plate under an axisymmetric heat source

2018 ◽  
Vol 42 (3) ◽  
pp. 361-373 ◽  
Author(s):  
A. H. Elsheikh ◽  
Jiajie Guo ◽  
Kok-Meng Lee
Keyword(s):  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Thin Circular Plate ◽  
Thermal Deflection

An analytical approach of heat transfer modelling with thermal stresses in circular plate by means of Gaussian heat source and stress function

2021 ◽  
Author(s):  
Sangita Pimpare ◽  
Chandrashekhar Shalik Sutar ◽  
Kamini Chaudhari
Keyword(s):  
Boundary Condition ◽  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Research Work ◽  
Homogeneous Boundary Condition ◽  
Flux Boundary Condition ◽  
Differential Transform ◽  
The Mathematical Model

Abstract In the proposed research work we have used the Gaussian circular heat source. This heat source is applied with the heat flux boundary condition along the thickness of a circular plate with a nite radius. The research work also deals with the formulation of unsteady-state heat conduction problems along with homogeneous initial and non-homogeneous boundary condition around the temperature distribution in the circular plate. The mathematical model of thermoelasticity with the determination of thermal stresses and displacement has been studied in the present work. The new analytical method, Reduced Differential Transform has been used to obtain the solution. The numerical results are shown graphically with the help of mathematical software SCILAB and results are carried out for the material copper.

scholarly journals Thermal stresses induced by a point heat source in a circular plate by quasi-static approach

2011 ◽  
Vol 1 (3) ◽  
pp. 031007
Author(s):  
K.C. Deshmukh ◽  
Y.I. Quazi ◽  
S.D. Warbhe ◽  
V.S. Kulkarni
Keyword(s):  
Heat Source ◽  
Circular Plate ◽  
Thermal Stresses ◽  
Point Heat Source ◽  
Static Approach

Fractional Heat Conduction in a Thin Circular Plate With Constant Temperature Distribution and Associated Thermal Stresses

2017 ◽  
Vol 139 (4) ◽  
Author(s):  
S. D. Warbhe ◽  
J. J. Tripathi ◽  
K. C. Deshmukh ◽  
J. Verma
Keyword(s):  
Temperature Distribution ◽  
Circular Plate ◽  
Constant Temperature ◽  
Thermal Stresses ◽  
Integral Transform ◽  
Lower Surface ◽  
Order Theory ◽  
Displacement Potential ◽  
Thin Circular Plate ◽  
Static Approach

In this work, a fractional-order theory of thermoelasticity by quasi-static approach is applied to the two-dimensional problem of a thin circular plate whose lower surface is maintained at zero temperature, whereas the upper surface is insulated and subjected to a constant temperature distribution. Integral transform technique is used to derive the solution in the physical domain. The corresponding thermal stresses are found using the displacement potential function.

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