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Thermal convection in rapid 3D extension of a planar crack

Louis M. Brock

Vol. 18 (2023), No. 1, 75–92

An unbounded, isotropic thermoelastic solid contains a closed, semi-infinite planar crack. Point forces are applied to the crack faces and translated toward the crack edge at a constant, subcritical speed. Fracture occurs and extension of the crack is accompanied by thermal convection. A dynamic steady state ensues in which the crack edge profile is no longer rectilinear, fixed and translates at the same speed as the point forces. An analytical solution, based on robust asymptotic expressions in integral transform space, is developed. Examination of the solution provides information on the role of convection in the determination of crack edge contour and temperature change. In particular calculations indicate that the influence of convection can decrease both with decreasing convection and increasing crack speed.

3D dynamic, thermoelastic, crack extension, convection
Received: 29 June 2022
Accepted: 18 October 2022
Published: 24 March 2023
Louis M. Brock
Department of Mechanical Engineering
University of Kentucky
Lexington, KY
United States