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BRIEF NOTES

Elastic Waves Induced by Surface Heating in a Half-Space

[+] Author and Article Information
J. P. Blanchard

University of Wisconsin–Madison, 1500 Engineering Drive, Madison, WI 53706-1609 e-mail: blanchard@engr.wisc.edu

J. Appl. Mech 70(4), 613-615 (Aug 25, 2003) (3 pages) doi:10.1115/1.1571861 History: Received April 28, 2002; Revised December 19, 2002; Online August 25, 2003
Copyright © 2003 by ASME
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References

Joseph,  D. D., and Preziosi,  L., 1989, “Heat Waves,” Rev. Mod. Phys., 61(1), p. 41.
Sternberg,  E., and Chakravorty,  J., 1959, “On Inertia Effects in a Transient Thermoelastic Problem,” ASME J. Appl. Mech., 26, p. 503.
Gladysz,  J., 1985, “Propagation of a Plane Wave in a Thermoelastic Half-Space Under Smooth Heating of Its Boundary,” J. Therm. Stresses, 8, p. 227.
White,  R., 1963, “Generation of Elastic Waves by Transient Surface Heating,” J. Appl. Phys., 34(12), p. 3559.
Boley, B., and Weiner, J., 1960, Theory of Thermal Stresses, John Wiley and Sons, New York, p. 54.
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Galka,  A., and Wojnar,  R., 1995, “One-Dimensional Dynamic Thermal Stresses Generated in an Elastic Half-Space by Laser Pulses,” J. Therm. Stresses, 18, p. 113.
Boley,  B., and Tolins,  I., 1962, “Transient Coupled Thermoelastic Boundary Value Problems in the Half-Space,” ASME J. Appl. Mech., 29, p. 637.
Kao,  T., 1976, “On Thermally Induced Non-Fourier Stress Waves in a Semi-Infinite Medium,” AIAA J., 14(6), p. 818.
Wang,  X., and Xu,  X., 2001, “Thermoelastic Wave Induced by Pulsed Laser Heating,” Appl. Phys. A: Mater. Sci. Process., 73, p. 107.
Körner,  C., and Bergmann,  H. W., 1998, “The Physical Defect of the Hyperbolic Heat Conduction Equation,” Appl. Phys. A: Mater. Sci. Process., 67, p. 397.
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Kaufman, R., 1966, Table of Laplace Transforms, W. B. Saunders, Philadelphia, PA.

Figures

Grahic Jump Location
Shape of stress fields at three different times. Transverse stresses assume ν=0.3.
Grahic Jump Location
Time dependence of stresses at two different locations relative to the surface. Transverse stresses assume ν=0.3.
Grahic Jump Location
Stresses versus time at the surface and at the peak of the wave. Transverse stresses assume ν=0.3.

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