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55. An External Circular Crack in an Infinite Solid under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity.

Author

Povstenko, Yuriy, Kyrylych, Tamara, Woźna-Szcześniak, Bożena, Kawa, Renata, and Yatsko, Andrzej

Subjects
HEAT flux, HEATING load, HEAT conduction, HEAT equation, SURFACE cracks, THERMAL stresses, THERMOELASTICITY
Abstract

In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axial symmetry. The surfaces of a crack are exposed to the constant heat flux loading in a circular ring R < r < ρ . The stress intensity factor is calculated as a function of the order of time-derivative, time, and the size of a circular ring and is presented graphically. [ABSTRACT FROM AUTHOR]

Published
2022
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