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We propose a model for unilateral contact with adhesion between a viscoelastic body and a rigid support, encompassing thermal and frictional effects. Following the approach by M. Fremond, adhesion is described in terms of a surface damage…

Analysis of PDEs · Mathematics 2012-07-23 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between…

Numerical Analysis · Mathematics 2020-12-11 Lingyue Shen , Zhiliang Xu , Ping Lin , Huaxiong Huang , Shixin Xu

We study the fluid-mediated approach of a deformable axisymmetric object towards a rigid substrate, focusing on how its shape influences contact formation. For low approach velocities and large Stokes numbers, we show that sharper profiles…

Soft Condensed Matter · Physics 2025-10-21 Joaquin Garcia-Suarez

We conduct a systematic exploration of the energy landscape of vesicle morphologies within the framework of the Helfrich model. Vesicle shapes are determined by minimizing the elastic energy subject to constraints of constant area and…

Soft Condensed Matter · Physics 2023-11-27 Rodrigo B. Reboucas , Hammad A. Faizi , Michael J. Miksis , Petia M. Vlahovska

Cohesive zone models do not consider the lateral contraction of adhesive layers under tensile loads. The constraint of the lateral contraction by the adherents which depends on the geometry of the adhesive layer has a major influence on the…

Materials Science · Physics 2015-11-09 Olaf Hesebeck

Understanding and harnessing the coupling between lubrication pressure and elasticity provides materials design strategies for applications such as adhesives, coatings, microsensors, and biomaterials. Elastic deformation of compliant solids…

Soft Condensed Matter · Physics 2018-10-01 Yumo Wang , Georgia Pilkington , Charles Dhong , Joelle Frechette

We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the…

Soft Condensed Matter · Physics 2010-06-01 I. Santamaria-Holek , Carlos I. Mendoza

Thermodynamics tells us to expect underwater contact between two hydrophobic surfaces to result in stronger adhesion compared to two hydrophilic surfaces. However, presence of water changes not only energetics, but also the dynamic process…

Soft Condensed Matter · Physics 2022-11-22 Mengyue Sun1 , Nityanshu Kumar1 , Ali Dhinojwala , Hunter King

Surface stresses have recently emerged as a key player in the mechanics of highly compliant solids. The classic theories of contact mechanics describe adhesion with a compliant substrate as a competition between surface energies driving…

Soft Condensed Matter · Physics 2017-11-15 Katharine E. Jensen , Robert W. Style , Qin Xu , Eric R. Dufresne

We investigate a continuum mechanical model for an adherent cell on two dimensional adhesive micropatterned substrates. The cell is modeled as an isotropic and homogeneous elastic material subject to uniform internal contractile stresses.…

Biological Physics · Physics 2013-12-30 Shiladitya Banerjee , Rastko Sknepnek , M. Cristina Marchetti

The complicated dynamics of the contact line of a moving droplet on a solid substrate often hamper the efficient modeling of microfluidic systems. In particular, the selection of the effective boundary conditions, specifying the contact…

We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a rigid channel. Through a careful investigation of the…

Numerical Analysis · Mathematics 2020-07-20 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca

Softer means stickier for solid adhesives, because material compliance facilitates close contact between non-conformal surfaces. Recent discoveries have revealed that soft materials can exhibit a rich array of new physics arising from…

Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous limit of vanishing layer periodicity and layer thickness. The…

Analysis of PDEs · Mathematics 2026-03-30 Markus Gahn , Tanja Lochner , Malte A. Peter

We analyze the effect of an external electric field on the electronic structure of molecules which have been recently studied as molecular wires or diodes. We use a self-consistent tight binding technique which provides results in good…

Computational Physics · Physics 2011-09-12 Christophe Krzeminski , Christophe Delerue , Guy Allan

In this paper, we study an interaction problem between a $3D$ compressible viscous fluid and a $3D$ nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have…

Analysis of PDEs · Mathematics 2023-12-20 Malte Kampschulte , Boris Muha , Srđan Trifunović

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective…

Soft Condensed Matter · Physics 2024-10-16 S. Dang , C. Blanch-Mercader , L. Berlyand

Cells sense the geometry and stiffness of their adhesive environment by active contractility. For strong adhesion to flat substrates, two-dimensional contractile network models can be used to understand how force is distributed throughout…

Cell Behavior · Quantitative Biology 2015-06-03 P. Guthardt Torres , I. B. Bischofs , U. S. Schwarz

The adhesion between dry solid surfaces is typically governed by contact forces, involving surface forces and elasticity. For surfaces immersed in a fluid, out-of-contact adhesion arises due to the viscous resistance to the opening of the…

Soft Condensed Matter · Physics 2024-09-18 Vincent Bertin , Alexandros T. Oratis , Jacco H. Snoeijer