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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.23620 |
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| _version_ | 1866912810412277760 |
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| author | Borković, Aleksandar Gfrerer, Michael H. Sauer, Roger A. Marussig, Benjamin |
| author_facet | Borković, Aleksandar Gfrerer, Michael H. Sauer, Roger A. Marussig, Benjamin |
| contents | We consider van der Waals interactions between in-plane fibers, where the computational model employs the Lennard-Jones potential and the coarse-grained approach. The involved 6D integral over two interacting fibers is split into a 4D analytical pre-integration over cross sections and the remaining 2D numerical integration along the fibers' axes. Two section-section interaction laws are implemented, refined, and compared. Fibers are modeled using the Bernoulli-Euler beam theory and spatially discretized with isogeometric finite elements. We derive and solve the weak form of both quasi-static and dynamic boundary value problems. Four numerical examples involving highly nonlinear and dynamic snap-to-contact phenomena are scrutinized. We observe that the coarse-graining and pre-integration of interaction potentials enable the efficient modeling of complex phenomena at small length scales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient snap-to-contact computations for van der Waals interacting fibers Borković, Aleksandar Gfrerer, Michael H. Sauer, Roger A. Marussig, Benjamin Computational Physics We consider van der Waals interactions between in-plane fibers, where the computational model employs the Lennard-Jones potential and the coarse-grained approach. The involved 6D integral over two interacting fibers is split into a 4D analytical pre-integration over cross sections and the remaining 2D numerical integration along the fibers' axes. Two section-section interaction laws are implemented, refined, and compared. Fibers are modeled using the Bernoulli-Euler beam theory and spatially discretized with isogeometric finite elements. We derive and solve the weak form of both quasi-static and dynamic boundary value problems. Four numerical examples involving highly nonlinear and dynamic snap-to-contact phenomena are scrutinized. We observe that the coarse-graining and pre-integration of interaction potentials enable the efficient modeling of complex phenomena at small length scales. |
| title | Efficient snap-to-contact computations for van der Waals interacting fibers |
| topic | Computational Physics |
| url | https://arxiv.org/abs/2506.23620 |