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Advanced Modeling and Simulation in Engineering Sciences
Fig. 5 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 5

From: Asymptotically consistent and computationally efficient modeling of short-ranged molecular interactions between curved slender fibers undergoing large 3D deformations

Fig. 5

Interaction potential of two cylinders as a function of the (sine of) the mutual angle at smallest surface separation \(g_\text {bl}/R=10^{-3}\). Verification of the correct asymptotic angular dependence of the analytical expression for the disk-cylinder potential \({\tilde{\pi }}_{\text {6,disk-cyl}}\) from Eq. (17) (used together with the SBIP approach from “The section–beam interaction potential (SBIP) approach”; red line with triangles) by means of a numerical reference solution obtained via 3D Gaussian quadrature of the point-half space potential \(\Pi _\text {6,pt-hs}\) from Ref. [41] (green line with diamonds) and by means of the analytical reference solution summarized in “Van der Waals interaction potential between two straight cylinders” (black dashed line)

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