of applied load, equivalent radius, and an extended equivalent modulus. According to the form of an analytically known frequency response function, the extended equivalent modulus due to the presence of the coating is a function of Young's moduli and Poisson's ratios of the coating and the substrate, the coating thickness, and a parameter, which is obtained through substantial numerical simulation. This extension is easy to use and yields accurate predictions of the maximum contact pressure and contact half-width.
This paper presents a work on extending the Hertz theory for circular and elliptical point contact problems involving coated bodies. The extended form of the Hertzian formulae are adopted to express maximum contact pressure, contact radius, and contact approach in terms of applied load, equivalent radius, and an extended equivalent modulus that properly considers the presence of a coating. The extended equivalent modulus is a function of Young's moduli and Poisson's ratios of the coating and the substrate, coating thickness, and a parameter, which is obtained through substantial numerical simulation. The extended Hertzian formulae are easy to use and give accurate predictions of contact characteristics.
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