An analytical model of thermal contact resistance based on the Weierstrass-Mandelbrot fractal function

作者：Jiang, S.^*; Zheng, Y.

来源：Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science , 2010, 224(C4): 959-967.

DOI：10.1243/09544062JMES1799

• machined joint surface
• thermal contact resistance
• fractal geometry

A fractal model for analysing the thermal contact resistance (TCR) of rough surfaces is presented; it is based on the classical heat conduction theory and fractal geometry for the surface topography description, elastic plastic deformation of contacting asperities, and size-dependent constriction resistance. Relations for the TCR in terms of contact load are obtained for heat conductive surfaces with known material properties and surface topography. With the real contact area being approximately 1 per cent of the apparent contact area or less, the microcontact area distribution has a dominant influence on the TCR. Useful design guidelines for heat contacts are extracted from the numerical results. The analytical results agree well with previous experiments.

• 出版日期2010
• 单位东南大学