Energy dissipation in mechanical joints occurs as a result of micro-slip motion between contacting rough surfaces. An account of this phenomenon is especially challenging due to the vast differences in the length and time scale differences between the macro-mechanical structure and the micron-scale events at the joint interface. This paper considers the contact between two nominally flat surfaces containing micron-scale roughness. The rough surface interaction is viewed as a multi-sphere elastic interaction subject to a periodic tangential force. It combines the Mindlin’s formulation [1, 2] for the elastic interaction of two spheres with the Greenwood and Williamson’s  statistical approach for the contact of two nominally flat rough surfaces so as to develop a model for multi-sphere problem in which sphere radii, contact load and the number of spheres in contact can only be known in a statistical sense and not deterministically.
- Design Engineering Division and Computers and Information in Engineering Division
Approximate Constitutive Relation for Lap Joints Using a Tribo-Mechanical Approach
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Farhang, K, Segalman, D, & Starr, M. "Approximate Constitutive Relation for Lap Joints Using a Tribo-Mechanical Approach." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 955-965. ASME. https://doi.org/10.1115/DETC2007-35071
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