ISSN:
1662-9752
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Functionally gradient material (FGM) developed for heat-shielding structure is often usedin the very high temperature environment. Therefore, the material property parameters are not onlyfunctions of spatial coordinates but also ones of temperature. The former leads to partial differentialequations with variable coefficients, the latter to nonlinear governing equations. It is usually verydifficult to obtain the analytical solution to such thermal conduction problems of FGMs. If the finiteelement method is adopted, it is very inconvenient because material parameter values must beimputed for each element. Hence, a semi-analytic numerical method, i.e., method of lines (MOLs)is introduced. The thermal conductivity functions do not need to be discretized and remainoriginal form in ordinary differential equations. As a numerical example, the nonlinear steadytemperature fields are computed for a rectangular non-homogeneous region with the first, thesecond and the third kinds of boundary conditions, where three kinds of functions, i.e. power,exponential and logarithmic ones are adopted for the thermal conductivity. Results display theimportant influence of non-linearity on temperature fields. Moreover, the results given here providethe better basis for thermal stress analysis of non-homogenous and non-linear materials
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/02/18/transtech_doi~10.4028%252Fwww.scientific.net%252FMSF.561-565.1957.pdf
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