Abstract
Abstract The purpose of this paper is to present an analytical description of thermal-stress states in a ceramic–metal functionally graded material (FGM) plate subjected to through-thickness heat flow by combining micromechanical with macromechanical approaches. The micromechanical approach stems from Eshelby's equivalent inclusion method and Mori–Tanaka's mean-field approximation, and the macromechanical approach is based on the classical laminated plate theory. This analytical method takes account of the microscale-level stress relaxation due to interfacial diffusion between ceramic and metal phases as well as creep of both phases. Some numerical examples for the Al2O3–Ni system are also shown, and the necessity of considering inelastic deformation in a thermal-stress analysis in an FGM is discussed.
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