Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials

2005 ◽  
Vol 42 (15) ◽  
pp. 4338-4351 ◽  
Author(s):  
Liviu Marin
Keyword(s):  
Heat Transfer ◽  
Cauchy Problem ◽  
Steady State ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Graded Materials ◽  
The Cauchy Problem ◽  
Steady State Heat ◽  
Steady State Heat Transfer

Chaotic Motion of a Functionally Graded Materials Square Thin Plate

2012 ◽  
Vol 531 ◽  
pp. 593-596
Author(s):  
Shuang Bao Li ◽  
Yu Xin Hao
Keyword(s):  
Thin Plate ◽  
Functionally Graded Materials ◽  
Chaotic Motion ◽  
Plate Theory ◽  
Equations Of Motion ◽  
Functionally Graded ◽  
Third Order ◽  
Graded Materials ◽  
Steady State Heat ◽  
Steady State Heat Transfer

Chaotic motion of a simply supported functionally graded materials (FGM) square thin plate under one-to-two internal resonance is studied in this paper. The FGM plate is subjected to the transversal and in-plane excitations. Material properties are assumed to be temperature-dependent and change continuously throughout the thickness of the plate. The temperature variation is assumed to occur in the thickness direction only and satisfy the steady-state heat transfer equation. Based on the Reddy’s third-order plate theory and Hamilton’s principle, the nonlinear governing equations of motion for the FGM plate are derived by using the Galerkin’s method to describe the transverse oscillation in the first two modes Numerical simulations illustrate that there exist chaotic motion for the FGM rectangular plate.

Steady-State Conduction With Variable Thermal Conductivity

1962 ◽  
Vol 84 (1) ◽  
pp. 92-93 ◽  
Author(s):  
Robert K. McMordie
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Variable Thermal Conductivity ◽  
Two Dimensional ◽  
The Real ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

A method is developed for solving two-dimensional, steady-state heat-transfer problems with thermal conductivity dependent on temperature. The quantity ∫ KdT is employed in the analysis and although this quantity has been known for some time,2, 3 it seems that the real usefulness of this quantity in analysis has not been, in general, recognized.

scholarly journals An isogeometric analysis approach for twodimensional steady state heat transfer problems

2015 ◽  
Vol 18 (2) ◽  
pp. 164-174
Author(s):  
Em Tuan Le ◽  
Khuong Duy Nguyen ◽  
Hoa Cong Vu
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Isogeometric Analysis ◽  
Basis Functions ◽  
High Rate ◽  
Two Dimensional ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer ◽  
Transfer Problems

The purpose of this article is studied the application of isogeometric analysis (IGA) to two-dimensional steady state heat transfer problems in a heat sink. By using high order basis functions, NURBS basis functions, IGA is a high rate convergence approach in comparison to a traditional Finite Element Method. Moreover, the development of this method decreased the gaps between CAD and mathematical model and increased the continuity of mesh.

Performance and Steady State Heat Transfer Analysis of Functionally Graded Thermal Barrier Coatings Systems

2018 ◽  
Vol 5 (14) ◽  
pp. 27936-27945 ◽  
Author(s):  
Kirti Teja Pasupuleti ◽  
Shawn Dsouza ◽  
R. Thejaraju ◽  
Shankar Venkataraman ◽  
Parvati Ramaswamy ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Thermal Barrier Coatings ◽  
Functionally Graded ◽  
Heat Transfer Analysis ◽  
Thermal Barrier ◽  
Barrier Coatings ◽  
State Heat ◽  
Steady State Heat ◽  
Steady State Heat Transfer
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