This paper presents a numerical two-dimensional model to study a rough thermal elastohydrodyanmic lubrication sliding contact locally and to calculate the stresses in multilayered solids. The model deterministically calculates the pressure and the surface temperature in solving simultaneously the equations that govern the lubrication and the thermoelasticity problem, respectively. The Reynolds equation and a parabolic profile for the temperature makes it possible to treat the lubrication part of the problem. The heat equation and the thermoelasticity equations in the solids are treated using a method based on the integral Fourier transform and solved with a fast Fourier transform algorithm.
Use of the FFT to Determine the Subsurface Stresses Locally in Multilayered Elastic Solids Caused by a TEHL Loading
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Riche, I., and Villechaise, B. (February 9, 2005). "Use of the FFT to Determine the Subsurface Stresses Locally in Multilayered Elastic Solids Caused by a TEHL Loading." ASME. J. Tribol. January 2006; 128(1): 59–66. https://doi.org/10.1115/1.1924575
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