The axisymmetric functionally gradient materials (FGMs) subject to nonuniform temperature variations were studied with the combined use of homogenization and inhomogeneous eigenstrained media analysis. The material properties and the temperature variations were assumed to depend on the radial coordinate only. The inhomogeneous material properties of the FGM cylinder can be obtained by modulating the concentration level of spherical alumina particles in an aluminum matrix. The resulting stresses due to the temperature variation are presented for numerous distribution functions of alumina particles. It is shown that the particle distribution extensively influences the intensity and profile of the thermal stresses.
Macroscopic Analysis of Axisymmetric Functionally Gradient Materials Under Thermal Loading
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Kwon, P., Dharan, C. K. H., and Ferrari, M. (June 1, 1994). "Macroscopic Analysis of Axisymmetric Functionally Gradient Materials Under Thermal Loading." ASME. J. Energy Resour. Technol. June 1994; 116(2): 115–120. https://doi.org/10.1115/1.2906015
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