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We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine A1-contractible 3-folds. Moreover, we give examples of stably…

Algebraic Geometry · Mathematics 2018-05-24 Adrien Dubouloz , Sabrina Pauli , Paul Arne Østvær

We characterize vesicle adhesion onto homogeneous substrates by means of a perturbative expansion around the infinite adhesion limit, where curvature elasticity effects are absent. At first order in curvature elasticity, we determine…

Soft Condensed Matter · Physics 2009-11-07 C. Tordeux , J. -B. Fournier , P. Galatola

An analysis of axisymmetric equilibria with arbitrary incompressible flow and finite resistivity is presented. It is shown that with large aspect ratio approximation or vanishing poloidal current, a uniform conductivity profile is…

Plasma Physics · Physics 2009-11-06 M. P. Bora

Recently proposed formulation of the Boundary Element Method for adhesive contacts has been generalized for contacts of functionally graded materials with and without adhesion. First, proceeding from the fundamental solution for single…

Soft Condensed Matter · Physics 2016-12-28 Qiang Li , Valentin L. Popov

We study the stability and breakup of liquid bridges with a free contact line on a surface with contact-angle hysteresis under zero-gravity conditions. Theoretical predictions of the stability limits are validated by experimental…

Soft Condensed Matter · Physics 2015-07-24 Amir Akbari , Reghan J. Hill

Nontrivial infinitesimal bendings for a class of two-dimensional surfaces are constructed. The surfaces considered here are orientable; compact; with boundary; have positive curvature everywhere except at finitely many planar points; and…

Analysis of PDEs · Mathematics 2009-10-06 Abdelhamid Meziani

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

Soft Condensed Matter · Physics 2022-05-04 Martin H. Müser , Bo N. J. Persson

Current engineering wear models are often based on empirical parameters rather than built upon physical considerations. Here, we look for a physical description of adhesive wear at the microscale, at which the interaction between two…

Soft Condensed Matter · Physics 2019-10-29 Son Pham-Ba , Tobias Brink , Jean-François Molinari

We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter's one is considered. The choice of factorizable…

Statistical Mechanics · Physics 2009-11-07 Domenico Gazzillo , Achille Giacometti

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

Classical Physics · Physics 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

Molecular dynamics simulations are used to study different definitions of contact at the atomic scale. The roles of temperature, adhesive interactions and atomic structure are studied for simple geometries. An elastic, crystalline substrate…

Materials Science · Physics 2015-03-14 Shengfeng Cheng , Mark O. Robbins

The structure and mechanical properties of a simple two-dimensional model of a cohesive powder are investigated by molecular dynamics simulations. Micromechanical ingredients involve elasticity, friction, a short range attraction and,…

Disordered Systems and Neural Networks · Physics 2007-05-24 Francisco Gilabert , Jean-Noel Roux , Antonio Castellanos

How friction affects adhesion is addressed. The problem is considered in the context of a very stiff sphere adhering to a compliant, isotropic, linear elastic substrate, and experiencing adhesion and frictional slip relative to each other.…

Soft Condensed Matter · Physics 2020-02-19 R. M. McMeeking , M. Ciavarella , G. Cricrì , K. -S. Kim

An adhesive unilateral contact between visco-elastic bodies at small strains and in a Kelvin-Voigt rheology is scrutinized, neglecting inertia. The flow-rule for debonding the adhesive is considered rate independent, unidirectional, and…

Analysis of PDEs · Mathematics 2013-09-30 Martin Kruzik , Christos G. Panagiotopoulos , Tomas Roubicek

We develop a theory of static friction by modeling the homogeneous surfaces of contact as being composed of a regular array of compressible elastic smooth microscopic inclines. Static friction is thought of as the resistance due to having…

Classical Physics · Physics 2014-07-14 Freeman Chee Siong Thun , Vee-Liem Saw , Kin Sung Chan

We investigate the structure and mechanical behavior of assemblies of frictionless, nearly rigid equal-sized beads, in the quasistatic limit, by numerical simulation. Three different loading paths are explored: triaxial compression,…

Materials Science · Physics 2008-10-24 Pierre-Emmanuel Peyneau , Jean-Noël Roux

While the large majority of theoretical and numerical studies of the jamming transition consider athermal packings of purely repulsive spheres, real complex fluids and soft solids generically display attraction between particles. By…

Soft Condensed Matter · Physics 2018-11-07 Dion J. Koeze , Brian P. Tighe

Although stiction is a cumbersome problem for microsystems, it stimulates investigations of surface adhesion. In fact, the shape of an adhered cantilever carries information of the adhesion energy that locks one end to the substrate. We…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 V. B. Svetovoy , A. E. Melenev , M. V. Lokhanin , G. Palasantzas

We study the geometry of null hypersurfaces in indefinite complex contact manifolds. We prove several classification results for a variety of well-known null hypersurfaces, including the totally umbilic, totally screen umbilic, and the…

Differential Geometry · Mathematics 2020-05-21 Samuel Ssekajja

We characterize the mechanical recovery of compliant silicone gels following adhesive contact failure. We establish broad, stable adhesive contacts between rigid microspheres and soft gels, then stretch the gels to large deformations by…