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

Brock, Louis

doi:10.2140/jomms.2021.16.105

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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

DOI: 10.2140/jomms.2021.16.105

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 $(p_{3}, s_{1}, s_{2})$ , 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

Vol. 16, No. 2, 2021

Louis M. Brock

Abstract

Keywords

Milestones

Authors