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Two collinear cracks in a transversely isotropic medium under the hyperbolic heat conduction law

Sourav Kumar Panja and Subhas Chandra Mandal

Vol. 18 (2023), No. 3, 375–389
Abstract

The problem of two collinear cracks in an infinite thermoelastic transversely isotropic medium under non-Fourier heat conduction law is studied. The considered cracks are thermally insulated, which do not admit any disturbances of thermal flow across the cracks. The mode II thermal stress intensity factor and crack opening displacement are derived for a stress free boundary condition and plotted to show the effect of crack length. Moreover, the work shows the thermal stress intensity factor’s behaviour in case of a Fourier heat conduction (parabolic) law and for a single crack.

Keywords
transversely isotropic, hyperbolic heat conduction, collinear cracks, thermal stress intensity factor, crack opening displacement
Milestones
Received: 17 September 2022
Revised: 27 December 2022
Accepted: 4 February 2023
Published: 5 May 2023
Authors
Sourav Kumar Panja
Department of Mathematics
Jadavpur University
Kolkata
India
Subhas Chandra Mandal
Department of Mathematics
Jadavpur University
Kolkata
India