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

Panja, Sourav Kumar; Mandal, Subhas Chandra

doi:10.2140/jomms.2023.18.375

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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

DOI: 10.2140/jomms.2023.18.375

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

Vol. 18, No. 3, 2023

Sourav Kumar Panja and Subhas Chandra Mandal

Abstract

Keywords

Milestones

Authors