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We study the indentation of ultrathin elastic sheets clamped to the edge of a circular hole. This classical setup has received considerable attention lately, being used by various experimental groups as a probe to measure the surface…

Soft Condensed Matter · Physics 2017-03-16 Dominic Vella , Benny Davidovitch

We explore the pressure of active particles on curved surfaces and its relation to other interfacial properties. We use both direct simulations of the active systems as well as simulations of an equilibrium system with effective (pair)…

Soft Condensed Matter · Physics 2019-05-14 René Wittmann , Frank Smallenburg , Joseph M. Brader

Eshelby's theory of inclusions has wide-reaching implications across the mechanics of materials and structures including the theories of composites, fracture, and plasticity. However, it does not include the effects of surface stress, which…

Soft Condensed Matter · Physics 2014-09-09 Robert W. Style , John S. Wettlaufer , Eric R. Dufresne

Surface roughness plays a crucial role in the accuracy of indentation experiments used to measure the elastic properties of materials. In this study, we present a computational analysis of how surface roughness, represented explicitly by…

Computational Physics · Physics 2024-10-24 D. F. S. Costa , J. H. M Pontes , W. P. Ferreira , J. S. de Sousa , C. L. N. Oliveira

This paper presents an analytical model of punctual elastic contact between a rigid body of arbitrary geometry and a plane surface. A simple analytical model is developed in order to evaluate the contact force knowing the volume of…

Classical Physics · Physics 2008-02-05 Abdelaziz Sameur , Honoré Yin , Denis Duhamel , Vladimir Vilke

The mechanical behavior of antigorite strongly influences the strength and deformation of the subduction interface. Although there is microstructural evidence elucidating the nature of brittle deformation at low pressures, there is often…

Geophysics · Physics 2021-03-17 Lars N. Hansen , Emmanuel C. David , Nicolas Brantut , David Wallis

An indentation testing method, which utilizes lateral contact of a long cylindrical indenter, is developed for a thin transversely isotropic incompressible elastic film deposited onto a smooth rigid substrate. It is assumed that the…

Classical Physics · Physics 2016-05-18 I. Argatov , G. Mishuris

Contact between an elastic manifold and a rigid substrate with a self-affine fractal surface is reinvestigated with Green's function molecular dynamics. Stress and contact autocorrelation functions (ACFs) are found to decrease…

Other Condensed Matter · Physics 2009-11-13 Carlos Campana , Martin H. Muser , Mark O. Robbins

An analytical Green's function is developed to study the acoustic scattering by a flat plate with a serrated edge. The scattered pressure is solved using the Wiener-Hopf technique in conjunction with the adjoint technique. It is shown that…

Fluid Dynamics · Physics 2023-05-10 Benshuai Lyu

We present simple expressions for load required to indent a layer of arbitrary thickness with a conical, paraboloidal or cylindrical punch. A rigid substrate underneath the sample leads to an increase of load required for indentation. This…

Classical Physics · Physics 2021-01-18 Paweł Hermanowicz

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

We present fully analytical solutions for the deformation of a stretched soft substrate due to the static wetting of a large liquid droplet, and compare our solutions to recently published experiments (Xu et al, Soft Matter 2018). Following…

Soft Condensed Matter · Physics 2021-03-17 Stefanie Heyden , Nicolas Bain , Qin Xu , Robert W Style , Eric R Dufresne

Application of the principle of energy balance to a rigid indenter in contact with elastic layer on a flat rigid substrate provides a very simple derivation of the detachment criterion which earlier has been obtained by much more…

Soft Condensed Matter · Physics 2018-05-23 Valentin L. Popov

In this paper we study the formation of nanodrops on curved surfaces (both convex and concave) by means of molecular dynamics simulations, where the particles interact via a Lennard-Jones potential. We find that the contact angle is not…

Fluid Dynamics · Physics 2017-07-14 Shantanu Maheshwari , Martin van der Hoef , Detlef Lohse

Deep indentation of soft materials is ubiquitous across scales in nature and engineering, yet accurate predictions of contact behaviors under extreme deformations ($\delta/R > 1$) remain elusive due to geometric and material nonlinearities.…

Soft Condensed Matter · Physics 2026-03-10 Tong Mu , Changhong Linghu , Yanju Liu , Jinsong Leng , Huajian Gao , K. Jimmy Hsia

Measuring the mechanical properties of cells and tissues often involves indentation with a sphere, or compression between two plates. Previously, different theoretical approaches have been developed to retrieve material parameters (e.g.…

Biological Physics · Physics 2022-02-15 Etienne Couturier , Dominic Vella , Arezki Boudaoud

The force of adhesion of a rotationally symmetric indenter and an elastic half-space is analyzed analytically and numerically using an extension of the method of dimensionality reduction (MDR) for superimposed normal/tangential adhesive…

Soft Condensed Matter · Physics 2017-08-29 Valentin L. Popov , Iakov A. Lyashenko , Alexander E. Filippov

Recent studies of elasto-capillary phenomena have triggered interest in a basic variant of the classical Young-Laplace-Dupr\'e (YLD) problem: The capillary interaction between a liquid drop and a thin solid sheet of low bending stiffness.…

Soft Condensed Matter · Physics 2023-03-15 Gregory Kozyreff , Benny Davidovitch , S. Ganga Prasath , Guillaume Palumbo , Fabian Brau

We report on a theoretical and experimental investigation of the normal contact of stretched neo-Hookean substrates with rigid spherical probes. Starting from a published formulation of surface Green's function for incremental displacements…

Soft Condensed Matter · Physics 2017-07-12 Christian Fretigny , Antoine Chateauminois

The size dependence of the equilibrium droplet contact angle is governed by line tension. In this work, we identify a contribution to line tension arising from gravitational effects and pressure-induced changes in volume-fraction-dependent…

Fluid Dynamics · Physics 2026-02-23 Franziska Aurbach , Fei Wang , Britta Nestler