Fractional thermoelasticity problem for a plane with a line crack under heat flux loading. Issue 10 (2nd December 2018)

• Record Type: Journal Article
• Authors: Povstenko, Yuriy; Kyrylych, Tamara
• Is Part Of: Journal of thermal stresses. Volume 41:Issue 10/12(2018)
• Page Start: 1313
• Page End: 1328
• Publication Date: 2018-12-02
• Subjects: Caputo derivative -- crack -- fractional calculus -- fractional thermoelasticity -- Mittag-Leffler function -- non-Fourier heat conduction -- stress intensity factor; Thermal stresses -- Periodicals; 620.1121
• DOI: 10.1080/01495739.2018.1485530
• Languages: English
• ISSNs: 0149-5739

Abstract

Abstract: Symmetric stress distribution in an infinite isotropic plane with a line crack, in which surfaces are exposed to the heat flux loading is considered in the framework of fractional thermoelasticity. The heat conduction is described by the time-fractional heat conduction equations with the Caputo derivative of fractional order α . The solution is obtained using the integral transform technique and is expressed in terms of the Mittag-Leffler function. The stress intensity factor is calculated for different values of the order of fractional derivative. The numerical results are illustrated graphically.