The problem of determining the steady-state temperature and flux fields in a material containing a plane crack along the bonded interface of two dissimilar functionally graded isotropic materials is considered. The materials exhibit quadratic variation in the coefficients of heat conduction. At large distances from the crack, a uniform heat flux is prescribed. The crack is modeled as an insulated cut. Numerical values for the temperature and flux are obtained for some particular materials. The results demonstrate how the variation in the functional gradation of the thermal parameters in the bonded materials affects the temperature discontinuity across the crack faces and the heat flux flow around the crack tips.
A Thermal Interface Crack Problem for Dissimilar Functionally Graded Isotropic Materials
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 29, 2014; final manuscript received May 18, 2015; published online July 14, 2015. Assoc. Editor: Amy Fleischer.
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Clements, D. L. (July 14, 2015). "A Thermal Interface Crack Problem for Dissimilar Functionally Graded Isotropic Materials." ASME. J. Heat Transfer. November 2015; 137(11): 111301. https://doi.org/10.1115/1.4030883
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