Electrical and Thermal Conductivity of Complex-Shaped Contact Spots
This paper explores the electrical and thermal conductivity of complex contact spots on the surface of a half-space. Employing an in-house Fast Boundary Element Method implementation, various complex geometries were studied. Our investigation begins with annulus contact spots to assess the impact of...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-01-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.266/ |
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| _version_ | 1825205935676588032 |
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| author | Beguin, Paul Yastrebov, Vladislav A. |
| author_facet | Beguin, Paul Yastrebov, Vladislav A. |
| author_sort | Beguin, Paul |
| collection | DOAJ |
| description | This paper explores the electrical and thermal conductivity of complex contact spots on the surface of a half-space. Employing an in-house Fast Boundary Element Method implementation, various complex geometries were studied. Our investigation begins with annulus contact spots to assess the impact of connectedness. We then study shape effects on “multi-petal” spots exhibiting dihedral symmetry, resembling flowers, stars, and gears. The analysis culminates with self-affine shapes, representing a multiscale generalization of the multi-petal forms. In each case, we introduce appropriate normalizations and develop phenomenological models. For multi-petal shapes, our model relies on a single geometric parameter: the normalized number of “petals”. This approach inspired the form of the phenomenological model for self-affine spots, which maintains physical consistency and relies on four geometric characteristics: standard deviation, second spectral moment, Nayak parameter, and Hurst exponent. As a by product, these models enabled us to suggest flux estimations for an infinite number of petals and the fractal limit. This study represents an initial step into understanding the conductivity of complex contact interfaces, which commonly occur in the contact of rough surfaces. |
| format | Article |
| id | doaj-art-7e5b10a071f84089a59e5eff343584bc |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-7e5b10a071f84089a59e5eff343584bc2025-02-07T13:49:01ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-01-01353G119523410.5802/crmeca.26610.5802/crmeca.266Electrical and Thermal Conductivity of Complex-Shaped Contact SpotsBeguin, Paul0Yastrebov, Vladislav A.1https://orcid.org/0000-0002-4052-3557MINES Paris, PSL University, Centre des Matériaux, CNRS UMR 7633, Evry, FranceMINES Paris, PSL University, Centre des Matériaux, CNRS UMR 7633, Evry, FranceThis paper explores the electrical and thermal conductivity of complex contact spots on the surface of a half-space. Employing an in-house Fast Boundary Element Method implementation, various complex geometries were studied. Our investigation begins with annulus contact spots to assess the impact of connectedness. We then study shape effects on “multi-petal” spots exhibiting dihedral symmetry, resembling flowers, stars, and gears. The analysis culminates with self-affine shapes, representing a multiscale generalization of the multi-petal forms. In each case, we introduce appropriate normalizations and develop phenomenological models. For multi-petal shapes, our model relies on a single geometric parameter: the normalized number of “petals”. This approach inspired the form of the phenomenological model for self-affine spots, which maintains physical consistency and relies on four geometric characteristics: standard deviation, second spectral moment, Nayak parameter, and Hurst exponent. As a by product, these models enabled us to suggest flux estimations for an infinite number of petals and the fractal limit. This study represents an initial step into understanding the conductivity of complex contact interfaces, which commonly occur in the contact of rough surfaces.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.266/conductivityflower-shaped spotsself-affine spotsboundary element methodfractal limit |
| spellingShingle | Beguin, Paul Yastrebov, Vladislav A. Electrical and Thermal Conductivity of Complex-Shaped Contact Spots Comptes Rendus. Mécanique conductivity flower-shaped spots self-affine spots boundary element method fractal limit |
| title | Electrical and Thermal Conductivity of Complex-Shaped Contact Spots |
| title_full | Electrical and Thermal Conductivity of Complex-Shaped Contact Spots |
| title_fullStr | Electrical and Thermal Conductivity of Complex-Shaped Contact Spots |
| title_full_unstemmed | Electrical and Thermal Conductivity of Complex-Shaped Contact Spots |
| title_short | Electrical and Thermal Conductivity of Complex-Shaped Contact Spots |
| title_sort | electrical and thermal conductivity of complex shaped contact spots |
| topic | conductivity flower-shaped spots self-affine spots boundary element method fractal limit |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.266/ |
| work_keys_str_mv | AT beguinpaul electricalandthermalconductivityofcomplexshapedcontactspots AT yastrebovvladislava electricalandthermalconductivityofcomplexshapedcontactspots |