Many technical assemblies can be modelled by a constant thickness elastic layer pressed between two elastic bodies. These models are solved up to date either by numerical methods or analytically, when the outer bodies are rigid cylinders. This paper advances a semi-analytical solution for the case the outer bodies are identical elastic paraboloids. It is shown that contact area is elliptical having semi-axes dependent on layer thickness and the pressure distribution is half-ellipsoidal.
A Semianalytical Solution for Normal Contacts Involving a Thin Elastic Layer
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Diaconescu, EN, & Glovnea, ML. "A Semianalytical Solution for Normal Contacts Involving a Thin Elastic Layer." Proceedings of the ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. Volume 3: Design; Tribology; Education. Haifa, Israel. July 7–9, 2008. pp. 521-528. ASME. https://doi.org/10.1115/ESDA2008-59402
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