In this work, a fractional-order theory of thermoelasticity by quasi-static approach is applied to the two-dimensional problem of a thin circular plate whose lower surface is maintained at zero temperature, whereas the upper surface is insulated and subjected to a constant temperature distribution. Integral transform technique is used to derive the solution in the physical domain. The corresponding thermal stresses are found using the displacement potential function.
Fractional Heat Conduction in a Thin Circular Plate With Constant Temperature Distribution and Associated Thermal Stresses
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 24, 2016; final manuscript received November 29, 2016; published online January 24, 2017. Editor: Portonovo S. Ayyaswamy.
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Warbhe, S. D., Tripathi, J. J., Deshmukh, K. C., and Verma, J. (January 24, 2017). "Fractional Heat Conduction in a Thin Circular Plate With Constant Temperature Distribution and Associated Thermal Stresses." ASME. J. Heat Transfer. April 2017; 139(4): 044502. https://doi.org/10.1115/1.4035442
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