Proposal for fast computational method for Hertzian contact theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908777904603136 |
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| author | Hokada, Shintaro Iizuka, Shunsuke Takada, Satoshi |
| author_facet | Hokada, Shintaro Iizuka, Shunsuke Takada, Satoshi |
| contents | Fast computational method for Hertzian contact theory is proposed. An incremental formula is introduced to calculate the ellipticity of the contact disk when two elastic bodies are in contact. This method can determine the ellipticity with good accuracy in a small number of iterations is reported. This method is also shown to be applicable from the case of a near perfect circle to the case where the major diameter is sufficiently long compared to the minor diameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proposal for fast computational method for Hertzian contact theory Hokada, Shintaro Iizuka, Shunsuke Takada, Satoshi Classical Physics Soft Condensed Matter Fast computational method for Hertzian contact theory is proposed. An incremental formula is introduced to calculate the ellipticity of the contact disk when two elastic bodies are in contact. This method can determine the ellipticity with good accuracy in a small number of iterations is reported. This method is also shown to be applicable from the case of a near perfect circle to the case where the major diameter is sufficiently long compared to the minor diameter. |
| title | Proposal for fast computational method for Hertzian contact theory |
| topic | Classical Physics Soft Condensed Matter |
| url | https://arxiv.org/abs/2508.06967 |