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TECHNICAL PAPERS

The Stress and Displacement Fields Produced in a Semi-Infinite Solid by a Uniform Heat Source Over a Rectangular Area on the Surface

[+] Author and Article Information
Yuan Lin, Timothy C. Ovaert

Department of Aerospace and Mechanical Engineering, The University of Notre Dame, Notre Dame, IN 46556

J. Tribol 125(4), 709-712 (Sep 25, 2003) (4 pages) doi:10.1115/1.1573234 History: Received September 24, 2002; Revised January 28, 2003; Online September 25, 2003
Copyright © 2003 by ASME
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References

Williams,  W. E., 1961, “A Solution of the Steady State Thermoelastic Equations,” ZAMP, 12 , pp. 452–455.
Barber, J. R., 1975, “Thermoelastic Contact Problems,” in Mechanics of Contact Between Deformable Bodies, A. D. de Pater and J. J. Kalker, eds., Delft University Press, Rotterdam, Netherlands.
Barber,  J. R., 1971, “Solution of Heated Punch Problem by Point Source Methods,” Int. J. Eng. Sci., 9, pp. 1165–1169.
Barber,  J. R., 1980, “Some Implications of Dundurs’ Theorem for Thermoelastic Contact and Crack Problems,” Journal of Engineering Sciences,22(5), pp. 229–232.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press.
Love,  A. E. H., 1929, “Stress Produced in a Semi-Infinite Solid by Pressure on Part of the Boundary,” Phil. Trans. R. Soc. London, Ser. A, 228, pp. 377–420.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd ed., Oxford, Clarendon.
Jeffrey, A., 2000, Handbook of Mathematical Formulas and Integrals, 2nd ed., Academic Press.

Figures

Grahic Jump Location
Rectangular heat source geometry
Grahic Jump Location
Geometric representation of the displacement formulation for a uniform heat flux h over a rectangular area on the surface
Grahic Jump Location
Typical right-angle triangle area

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