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arXiv · 2506.23620

Efficient snap-to-contact computations for van der Waals interacting fibers

Aleksandar Borković·Michael H. Gfrerer·Roger A. Sauer·Benjamin Marussig
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Abstract

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.

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Aleksandar Borković, Michael H. Gfrerer, Roger A. Sauer, Benjamin Marussig. 2025-06-30. Efficient snap-to-contact computations for van der Waals interacting fibers. https://doi.org/10.1016/j.euromechsol.2025.105919

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