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Research Article | Open Access

Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists

Institute of Mechanics, Technische Universität Berlin, Berlin 10623, Germany
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Abstract

In two recent papers, approximate solutions for compact non-axisymmetric contact problems of homogeneous and power-law graded elastic bodies have been suggested, which provide explicit analytical relations for the force–approach relation, the size and the shape of the contact area, as well as for the pressure distribution therein. These solutions were derived for profiles, which only slightly deviate from the axisymmetric shape. In the present paper, they undergo an extensive testing and validation by comparison of solutions with a great variety of profile shapes with numerical solutions obtained by the fast Fourier transform (FFT)-assisted boundary element method (BEM). Examples are given with quite significant deviations from axial symmetry and show surprisingly good agreement with numerical solutions.

Keywords

normal contactnon-axisymmetric indenterextremal principlegeneralized method of dimensionality reduction (MDR)functional elastic grading

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Friction
Volume 12 Issue 2,
February 2024
Pages 340-355
DOI: 10.1007/s40544-023-0785-z
Cite this article:
POPOV VL, LI Q, WILLERT E. Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists. Friction, 2024, 12(2): 340-355. https://doi.org/10.1007/s40544-023-0785-z

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Received: 17 February 2023
Revised: 13 April 2023
Accepted: 31 May 2023
Published: 24 August 2023
© The author(s) 2023.

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