Theoretical Analysis of Heat Conduction Problems of Nonhomogeneous Functionally Graded Materials for Multilayered Media
Date Issued
2009
Date
2009
Author(s)
Chen, Yi-Tzu
Abstract
In recent years, composite materials are extensively used, nevertheless, material properties are discontinuous at the interface, and cracks are often generated in the interfaces. Functionally graded materials (FGMs) are the materials whose material properties are smoothly varying along one axis, and they are used as buffer layers to connect two dissimilar materials. By choosing proper functionally graded parameters, the material properties at the interface can be identical, thus the discontinuous jump at the interface can be reduced.his thesis investigates heat conduction problems of nonhomogeneous functionally graded materials for multilayered media. Mathematically, the heat conduction equation of nonhomogeneous media is more complicated than that of homogeneous material. From the Fourier transform method, the full-field solutions of nonhomogeneous functionally graded materials with three layers are obtained. Numerical calculations based on the analytical solutions are performed and are discussed in detail. The image method is used to construct the solutions for rectangular finite boundary with three layers. It is noted from this thesis that the temperature and heat flux fields along the interface for nonhomogeneous functionally graded materials are more continuous than those for homogeneous materials if the conductivities at the interface are continuous.
Subjects
functionally graded material (FGM)
heat conduction
nonhomogeneous
exponentially graded function
layered media
Type
thesis