Abstract
Functionally gradient materials (FGM) with distributed properties have attracted special interest as advanced heat-shielding/structural materials for space applications. The objective of the present study is to derive an analytical solution of the temperature response in a multilayer-type FGM, the front surface of which is subjected to partial, stepwise heating. Heat losses from the front, rear, and side surfaces are also considered. The Laplace transformation has been used to obtain the analytical solution. This solution is expected to elucidate the dependence of the temperature response on various parameters, such as thermophysical properties and heat losses. It is also expected to reduce the calculation time to obtain thermal stress and/or strain in large-scale numerical calculations. Appropriateness of this solution has also been demonstrated by comparing the present results and the experimental results obtained by the National Aerospace Laboratory, Japan.
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