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We consider potential-based interactions between beams (or fibers) and shells (or membranes) using a coarse-grained approach with focus on van der Waals attraction and steric repulsion. The involved 6D integral over volumes of a beam and a…

Numerical Analysis · Mathematics 2026-03-02 Aleksandar Borković , Michael H. Gfrerer , Roger A. Sauer

We derive a novel formulation for the interaction potential between deformable fibers due to short-range fields arising from intermolecular forces. The formulation improves the existing section-section interaction potential law for in-plane…

Computational Engineering, Finance, and Science · Computer Science 2024-04-09 A. Borković , M. H. Gfrerer , R. A. Sauer , B. Marussig , T. Q. Bui

This contribution proposes the first 3D beam-to-beam interaction model for molecular interactions between curved slender fibers undergoing large deformations. While the general model is not restricted to a specific beam formulation, in the…

Computational Engineering, Finance, and Science · Computer Science 2019-08-01 Maximilian J. Grill , Wolfgang A. Wall , Christoph Meier

This article proposes a novel computational modeling approach for short-ranged molecular interactions between curved slender fibers undergoing large 3D deformations, and gives a detailed overview how it fits into the framework of existing…

Computational Engineering, Finance, and Science · Computer Science 2022-08-19 Maximilian J. Grill , Wolfgang A. Wall , Christoph Meier

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

Chemical Physics · Physics 2011-11-10 Arik Yochelis , Len M. Pismen

The analysis of complex fibrous systems or materials on the micro- and nanoscale, which have a high practical relevance for many technical or biological systems, requires accurate analytical descriptions of the adhesive and repulsive forces…

Computational Engineering, Finance, and Science · Computer Science 2022-08-19 Maximilian J. Grill , Wolfgang A. Wall , Christoph Meier

This work presents a survey of mechanical models describing van der Waals interactions between 2D materials, encompassing both continuous elastomer-like materials and discrete (crystalline) 2D materials such as graphene. These interactions…

Computational Physics · Physics 2025-12-30 Gourav Yadav , Shakti S. Gupta , Roger A. Sauer

A new scheme for the computation of dispersive interactions from first principles is presented. This cost-effective approach relies on a Wannier function representation compatible with density function theory descriptions. This is an…

Materials Science · Physics 2025-02-04 Diem Thi-Xuan Dang , Dai-Nam Le , Lilia M. Woods

Nonlinear systems and interaction forces are pervasive in many scientific fields, such as nanoscale metrology and materials science, but their accurate identification is challenging due to their complex behaviour and inaccessibility of…

Systems and Control · Electrical Eng. & Systems 2023-06-05 Eyal Baruch , Izhak Bucher

The paper deals with the analytical integration of interaction potentials between specific geometries such as disks, cylinders, rectangles, and rectangular prisms. Interaction potentials are modeled as inverse-power laws with respect to the…

Computational Physics · Physics 2024-12-02 Aleksandar Borković , Michael H. Gferer , Roger A. Sauer

A van der Waals (vdW) density functional was implemented in the mixed basis approach previously developed for studying two dimensional systems, in which the vdW interaction plays an important role. The basis functions here are taken to be…

Computational Physics · Physics 2017-12-27 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

Granular systems confined in vertically vibrated shallow horizontal boxes (quasi two-dimensional geometry) present a liquid to solid phase transition when the frequency of the periodic forcing is increased. An effective model, where grains…

Statistical Mechanics · Physics 2018-08-08 Dino Risso , Rodrigo Soto , Marcelo Guzman

The method recently developed to include Van der Waals interactions in the Density Functional Theory by using the Maximally-Localized Wannier functions, is improved and extended to the case of atoms and fragments weakly bonded (physisorbed)…

Other Condensed Matter · Physics 2009-11-13 Pier Luigi Silvestrelli , Karima Benyahia , Sonja Grubisic Francesco Ancilotto , Flavio Toigo

Although the precise microscopic knowledge of van der Waals interactions is crucial for understanding bonding in weakly bonded layered compounds, very little quantitative information on the strength of interlayer interaction in these…

Materials Science · Physics 2012-06-08 T. Björkman , A. Gulans , A. V. Krasheninnikov , R. M. Nieminen

We calculate the properties of a graphene monolayer on the Ir(111) surface, using the model in which the periodicities of the two structures are assumed equal, instead of the observed slight mismatch which leads to a large superperiodic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Brako , D. Sokcevic , P. Lazic , N. Atodiresei

A local approximation for dynamic polarizability leads to a nonlocal functional for the long-range dispersion interaction energy via an imaginary-frequency integral. We analyze several local polarizability approximations and argue that the…

Chemical Physics · Physics 2015-03-17 Oleg A. Vydrov , Troy Van Voorhis

This article studies the fundamental problem of separating two adhesive elastic fibers based on numerical simulation employing a recently developed finite element model for molecular interactions between curved slender fibers. Specifically,…

Computational Engineering, Finance, and Science · Computer Science 2019-08-01 Maximilian J. Grill , Christoph Meier , Wolfgang A. Wall

We have developed a new and general theory of nonuniform fluids that naturally incorporates molecular scale information into the classical van der Waals theory of slowly varying interfaces. Here the theory is applied to the liquid-vapor…

Statistical Mechanics · Physics 2007-05-23 Kirill Katsov , John D. Weeks

Recent investigations have highlighted the failure of a sum of $R^{-6}$ terms to represent the dispersion interaction in parallel metallic, anisotropic, linear or planar nanostructures [J. F. Dobson, A. White, and A. Rubio, Phys. Rev. Lett.…

Soft Condensed Matter · Physics 2013-05-29 Angela White , John F. Dobson

We theoretically address grazing incidence fast atom diffraction (GIFAD) for H atoms impinging on a LiF(001) surface. Our model combines a description of the H-LiF(001) interaction obtained from Density Functional Theory calculations with a…

Materials Science · Physics 2016-09-21 G. A. Bocan , J. D. Fuhr , M. S. Gravielle
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