The penny-shaped crack with heat flux is investigated for the case in which the heat flux is into the material with the lower distortivity. A harmonic potential function representation is used to reduce the problem to a boundary value problem which is solved by an integral equation method. If a sufficiently high tensile traction is applied, a solution is obtained involving a central circle of separation and surrounding annuli of imperfect and perfect thermal contact. For lower tractions, or higher heat fluxes, the crack closes completely and a closed-form solution is obtained in which the division of the crack face into imperfect and perfect contact regions is unaffected by further changes in heat flux or traction. Multiple solutions are obtained in an intermediate range.
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December 1983
Research Papers
The Penny-Shaped Interface Crack With Heat Flow, Part 2: Imperfect Contact
J. R. Barber,
J. R. Barber
Department of Mechanical Engineering And Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109
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Maria Comninou
Maria Comninou
Department of Mechanical Engineering And Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109
Search for other works by this author on:
J. R. Barber
Department of Mechanical Engineering And Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109
Maria Comninou
Department of Mechanical Engineering And Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109
J. Appl. Mech. Dec 1983, 50(4a): 770-776 (7 pages)
Published Online: December 1, 1983
Article history
Received:
July 1, 1982
Revised:
April 1, 1983
Online:
July 21, 2009
Citation
Barber, J. R., and Comninou, M. (December 1, 1983). "The Penny-Shaped Interface Crack With Heat Flow, Part 2: Imperfect Contact." ASME. J. Appl. Mech. December 1983; 50(4a): 770–776. https://doi.org/10.1115/1.3167144
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