FFT thermoelastic solutions for moving heat sources

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 bent een 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 hear Purdue University, source in which it is shown that numerical evaluation of the analytical solution is problematic for large speeds or distances from the hear source. The utility of the method is illustrated on the constant patch moving hear 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 an 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.