FFT Thermoelastic Solutions for Moving Heat Sources

[+] Author and Article Information
Y. Ju, T. N. Farris

School of Aeronautics and Astronautics, Purdue University, 1282 Grissom Hall, West Lafayette, IN 47907-1282

J. Tribol 119(1), 156-162 (Jan 01, 1997) (7 pages) doi:10.1115/1.2832452 History: Received October 20, 1995; Revised March 22, 1996; Online January 24, 2008


An analytical frequency domain solution is obtained using the spatial Fourier transform for thermal and thermoelastic fields due to an arbitrary heat source or thermal distribution moving at constant speed over the surface of an insulated, traction free elastic half space. Conversions between the space and frequency domains for the input and output are performed efficiently and robustly using FFT techniques. The method is validated by comparison to the analytical result for the moving line heat source in which it is shown that numerical evaluation of the analytical solution is problematic for large speeds or distances from the heat source. The utility of the method is illustrated on the constant patch moving heat source and discretely distributed multiple heat sources known as the “hot spot” problem. It is shown, through several examples, that the effect of hot spots on surface displacement and tangential stress is small. Finally, this conclusion is generalized by quantifying the frequency domain solution for the moving heat source problem as a low pass filter.

Copyright © 1997 by The American Society of Mechanical Engineers
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