scholarly journals Transversely isotropic thermoelastic thin circular plate with constant and periodically varying load and heat source

2019 ◽  
Vol 14 (1) ◽  
Author(s):  
Iqbal Kaur ◽  
Parveen Lata
Keyword(s):  
Heat Source ◽  
Circular Plate ◽  
Transversely Isotropic ◽  
Thin Circular Plate

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.

A Point Heat Source on the Surface of a Semi-Infinite Transversely Isotropic Piezothermoelastic Material

2008 ◽  
Vol 75 (1) ◽  
Author(s):  
Peng-Fei Hou ◽  
Wei Luo ◽  
Andrew Y. T. Leung
Keyword(s):  
Heat Source ◽  
Cadmium Selenide ◽  
Harmonic Functions ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Numerical Results ◽  
Point Heat Source ◽  
Elementary Functions ◽  
General Solutions ◽  
Coupled Field

We use the compact harmonic general solutions of transversely isotropic piezothermoelastic materials to construct the three-dimensional Green’s function of a steady point heat source on the surface of a semi-infinite transversely isotropic piezothermoelastic material by four newly introduced harmonic functions. All components of the coupled field are expressed in terms of elementary functions and are convenient to use. Numerical results for cadmium selenide are given graphically by contours.

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