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Advanced Modeling and Simulation in Engineering Sciences
Fig. 4 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 4

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

Fig. 4

Interaction potential of two cylinders as a function of the dimensionless minimal surface separation \(g_\text {bl}/R\) at different mutual angles \(\alpha \). Comparison of the previously used SSIP law \(\tilde{\tilde{\pi }}_{\text {6,disk}\parallel \text {disk}}\) from Eq. (18) in Ref. [40] (used together with the SSIP approach proposed in the same article; dark green line with crosses) with the analytical expression for the disk-cylinder potential \({\tilde{\pi }}_\text {6,disk-cyl}\) Eq. (17) (used together with the SBIP approach from The section–beam interaction potential (SBIP) approach; red line with triangles). The 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 the analytical reference solutions summarized in “Van der Waals interaction potential between two straight cylinders” (black dashed line) are plotted as reference

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