Search
New analytical laws and applications of interaction potentials with a focus on van der Waals attraction
Abstract
The paper aims to improve the efficiency of modeling interactions between slender deformable bodies that resemble the shape of fibers. Interaction potentials are modeled as inverse-power laws with respect to the point-pair distance, and the complete body-body potential is obtained by pairwise summation (integration). To speed-up integration, we consider the analytical preintegration of potentials between specific geometries such as disks, cylinders, rectangles, and rectangular prisms. Several exact new interaction laws are obtained, such as disk-infinite halfspace and (in-plane) rectangle-rectangle for an arbitrary exponent, and disk-disk and rectangle-rectangle for van der Waals attraction. To balance efficiency and accuracy, approximate laws are proposed for disk-disk, point-cylinder, and disk-cylinder interactions. Additionally, we have developed a novel formulation for the interaction between a spatial beam and an infinite halfspace. The application of the pre-integrated interaction potentials within the finite element method is illustrated via two examples.
Citations
-
0
CrossRef
-
0
Web of Science
-
0
Scopus
Authors (3)
-
A. Borković
-
M.h. Gfrerer
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.apm.2025.116100
- License
-
open in new tab
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
APPLIED MATHEMATICAL MODELLING
no. 145,
ISSN: 0307-904X - Language:
- English
- Publication year:
- 2025
- Bibliographic description:
- Borković A., Gfrerer M., Sauer R.: New analytical laws and applications of interaction potentials with a focus on van der Waals attraction// APPLIED MATHEMATICAL MODELLING -, (2025), s.116100-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.apm.2025.116100
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
seen 0 times
Recommended for you
A novel section–section potential for short-range interactions between plane beams
- A. Borković,
- M. Gfrerer,
- R. Sauer
- + 2 authors
Thermal Buckling Analysis of Circular Bilayer Graphene sheets Resting on an Elastic Matrix Based on Nonlocal Continuum Mechanics
- M. Ahmad Pour,
- M. E. Golmakani,
- M. Malikan
Continuum contact model for friction between graphene sheets that accounts for surface anisotropy and curvature
- A. Mokhalingam,
- S. Gupta,
- R. Sauer