Vol. 16, No. 2, 2021

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Thermal convection effect for 3D crack extension: transversely isotropic thermoelastic solid

Louis M. Brock

Vol. 16 (2021), No. 2, 105–121
Abstract

A semi-infinite plane crack is at rest in an unbounded, transversely isotropic, thermoelastic solid. A finite region on each crack face is subjected to compression and shear stresses of constant magnitude (p3,s1,s2), and translates with constant speed at right angles to the initial crack edge. The speed is rapid, but subcritical. Fracture occurs, accompanied by thermal convection on the crack faces. A dynamic steady state ensues, so that the crack edge is no longer rectilinear, but growth rate and translation speeds are identical. Analytical results, based on a robust asymptotic form of 3D field equation integral transforms, shows clearly the role of convection in solution behavior. The enhancement — and generation — of exponential/sinusoidal behavior is noted.

Keywords
3D dynamic, thermoelastic, transverse isotropy, crack edge, convection
Milestones
Received: 27 February 2020
Revised: 6 August 2020
Accepted: 22 August 2020
Published: 6 June 2021
Authors
Louis M. Brock
Department of Mechanical Engineering
University of Kentucky
Lexington, KY
United States