Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists
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...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2023-08-01
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| Series: | Friction |
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| Online Access: | https://doi.org/10.1007/s40544-023-0785-z |
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| author | Valentin L. Popov Qiang Li Emanuel Willert |
| author_facet | Valentin L. Popov Qiang Li Emanuel Willert |
| author_sort | Valentin L. Popov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e7a6b58ceac546f89a1102230f90e4cd |
| institution | OA Journals |
| issn | 2223-7690 2223-7704 |
| language | English |
| publishDate | 2023-08-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Friction |
| spelling | doaj-art-e7a6b58ceac546f89a1102230f90e4cd2025-08-20T02:21:10ZengTsinghua University PressFriction2223-76902223-77042023-08-0112234035510.1007/s40544-023-0785-zApproximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologistsValentin L. Popov0Qiang Li1Emanuel Willert2Institute of Mechanics, Technische Universität BerlinInstitute of Mechanics, Technische Universität BerlinInstitute of Mechanics, Technische Universität BerlinAbstract 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.https://doi.org/10.1007/s40544-023-0785-znormal contactnon-axisymmetric indenterextremal principlegeneralized method of dimensionality reduction (MDR)functional elastic grading |
| spellingShingle | Valentin L. Popov Qiang Li Emanuel Willert Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists Friction normal contact non-axisymmetric indenter extremal principle generalized method of dimensionality reduction (MDR) functional elastic grading |
| title | Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists |
| title_full | Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists |
| title_fullStr | Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists |
| title_full_unstemmed | Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists |
| title_short | Approximate contact solutions for non-axisymmetric homogeneous and power-law graded elastic bodies: A practical tool for design engineers and tribologists |
| title_sort | approximate contact solutions for non axisymmetric homogeneous and power law graded elastic bodies a practical tool for design engineers and tribologists |
| topic | normal contact non-axisymmetric indenter extremal principle generalized method of dimensionality reduction (MDR) functional elastic grading |
| url | https://doi.org/10.1007/s40544-023-0785-z |
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