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We consider a membrane both weakly and strongly adhering to a geometrically structured substrate. The interaction potential is assumed to be local, via the Deryagin approximation, and harmonic. Consequently, we can analytically describe a…

Soft Condensed Matter · Physics 2007-05-23 P. S. Swain , David Andelman

Adhesion is a key issue for researchers of various fields, it is therefore of uppermost importance to understand the parameters that are involved. Commonly, only surface parameters are employed to determine the adhesive forces between…

Materials Science · Physics 2012-08-22 Peter Loskill , Hendrik Hähl , Thomas Faidt , Samuel Grandthyll , Frank Müller , Karin Jacobs

By means of computer simulations, this work addresses adhesion of a deformable spherical capsule to a micro-rough surface consisting of a periodic array of pillars. Depending on the micro-relief topography, three different adhesion regimes…

Soft Condensed Matter · Physics 2018-10-09 Aleksey V. Belyaev

In this work, we study the adhesion of multi-component vesicle membrane to both flat and curved substrates, based on the conventional Helfrich bending energy for multi-component vesicles and adhesion potentials of different forms. A phase…

Biological Physics · Physics 2015-05-14 Yanxiang Zhao , Sovan Das , Qiang Du

Biomimetic membranes in contact with a planar substrate or a second membrane are studied theoretically. The membranes contain specific adhesion molecules (stickers) which are attracted by the second surface. In the absence of stickers, the…

Soft Condensed Matter · Physics 2016-08-31 Thomas R. Weikl , David Andelman , Shigeyuki Komura , Reinhard Lipowsky

The interaction of graphene with neighboring materials and structures plays an important role in its behavior, both scientifically and technologically. The interactions are complicated due to the interplay between surface forces and…

Materials Science · Physics 2015-06-05 J. Scott Bunch , Martin L. Dunn

When a fluid surface adheres to a substrate, the location of the contact line adjusts in order to minimize the overall energy. This adhesion balance implies boundary conditions which depend on the characteristic surface deformation…

Soft Condensed Matter · Physics 2011-11-09 Markus Deserno , Martin M. Mueller , Jemal Guven

As mechanical structures enter the nanoscale regime, the influence of van der Waals forces increases. Graphene is attractive for nanomechanical systems because its Young's modulus and strength are both intrinsically high, but the mechanical…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Steven P. Koenig , Narasimha G. Boddeti , Martin L. Dunn , J. Scott Bunch

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

The van der Waals interaction between a lipid membrane and a substrate covered by a graphene sheet is investigated using the Lifshitz theory. The reflection coefficients are obtained for a layered planar system submerged in water. The…

Mesoscale and Nanoscale Physics · Physics 2013-11-22 Anh D. Phan , Trinh X. Hoang , The-Long Phan , Lilia M. Woods

Chemical heterogeneity of solid surfaces disrupts the adsorption of surfactants from the bulk liquid. While its presence can hinder the performance of some formulations, bespoke chemical patterning could potentially facilitate controlled…

A key challenge in performing experiments with microparticles is controlling their adhesion to substrates. For example, levitation of a microparticle initially resting on a surface requires overcoming the surface adhesion forces to deliver…

Applied Physics · Physics 2025-12-16 Fabian Resare , Somiya Islam Soke , Witlef Wieczorek

The present contribution focuses on the effect of adherend surface roughness on the strength of adhesive joints, which are particularly cost-effective and extensively applied in a wide range of industrial applications. However, the…

We revisit the indentation of a thin solid sheet of size $R_{sheet}$ suspended on a circular hole of radius $R \ll R_{sheet}$ in a smooth rigid substrate, addressing the effects of boundary conditions at the hole's edge. Introducing a basic…

Materials Science · Physics 2021-04-14 Benny Davidovitch , Francisco Guinea

Using atomistic simulations we investigate the morphological properties of graphene deposited on top of a nanostructured substrate. Sinusoidally corrugated surfaces, steps, elongated trenches, one dimensional and cubic barriers, spherical…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 M. Neek-Amal , F. M. Peeters

The adhesion of a lipid membrane vesicle to a fixed substrate is examined from a geometrical point of view. This vesicle is described by the Helfrich hamiltonian quadratic in mean curvature; it interacts by contact with the substrate, with…

Soft Condensed Matter · Physics 2009-11-07 Riccardo Capovilla , Jemal Guven

We introduce and study the behavior of a tethered membrane of non-zero thickness embedded in three dimensions subject to an effective self-attraction induced by hydrophobicity arising from the tendency to minimize the area exposed to a…

Soft Condensed Matter · Physics 2012-06-12 Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

We study the pinning of a two-dimensional membrane to a patterned substrate within elastic theory both in the bending rigidity and in the strain dominated regimes. We find that both the in-plane strains and the bending rigidity can lead to…

Materials Science · Physics 2011-04-19 S. Viola Kusminskiy , D. K. Campbell , A. H. Castro Neto , F. Guinea

Adhesion is a fundamental phenomenon that plays a role in many engineering and biological applications. This paper concerns the use of machine learning to characterize the effective adhesive properties when a thin film is peeled from a…

Applied Physics · Physics 2023-09-04 Maximo Cravero Baraja , Kaushik Bhattacharya

Engineering wear models are generally empirical and lack connections to the physical processes of debris generation at the nanoscale to microscale. Here, we thus analyze wear particle formation for sliding interfaces in dry contact with…

Materials Science · Physics 2019-05-15 Tobias Brink , Jean-François Molinari
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