Boundary element simulation of heat conduction in functionally graded solids
The uses of functionally graded solids in the world have risen throughout the years. These solids, made up of functionally graded material (FGM), have changing material properties over space. Therefore, FGM give engineers a wide range of choices and some degree of flexibility in material selection t...
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Format: | Final Year Project |
Language: | English |
Published: |
2013
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Subjects: | |
Online Access: | http://hdl.handle.net/10356/53243 |
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Institution: | Nanyang Technological University |
Language: | English |
Summary: | The uses of functionally graded solids in the world have risen throughout the years. These solids, made up of functionally graded material (FGM), have changing material properties over space. Therefore, FGM give engineers a wide range of choices and some degree of flexibility in material selection to suit their needs. Although these solids are highly useful, the cost of producing them is fairly expensive.
In the field of heat transfer with functionally graded materials, the analysis of such interaction has been gaining importance. Through well-developed analysis and simulation, heat transfer problems involving functionally graded materials can be studied. Insightful knowledge can be gained and ultimately, people are able to choose and use a FGM that suits their application.
In this project, the topic of interest is the numerical analysis approach to the temperature distribution of such materials in heat conduction. The temperature distribution of a functionally graded material with different shapes and boundary conditions will be solved numerically by the boundary element method (BEM) using MATLAB. A comparison between the numerically solved values will be compared with the values solved analytically using some test problems. This comparison will give the author a level of confidence in the results obtained when applying the BEM to some numerical experiments involving a rectangular plate made up of FGM. |
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