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Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

We consider the point indentation of a pressurized, spherical elastic shell. Previously it was shown that such shells wrinkle once the indentation reaches a threshold value. Here, we study the behaviour of this system beyond the onset of…

软凝聚态物质 · 物理学 2015-11-25 Dominic Vella , Hamid Ebrahimi , Ashkan Vaziri , Benny Davidovitch

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.…

生物物理 · 物理学 2022-02-15 Etienne Couturier , Dominic Vella , Arezki Boudaoud

The localized loading of an elastic sheet floating on a liquid bath occurs at scales from a frog sitting on a lily pad to a volcano supported by the Earth's tectonic plates. The load is supported by a combination of the stresses within the…

软凝聚态物质 · 物理学 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

Surface tension is a prominent factor for the deformation of solids at micro-/nano-scale. This paper investigates the effects of surface tension on the two-dimensional contact problems of an elastic layer bonded to the rigid substrate.…

软凝聚态物质 · 物理学 2018-10-29 Weike Yuan , Gangfeng Wang

We consider the point-indentation of a pressurized elastic shell. It has previously been shown that such a shell is subject to a wrinkling instability as the indentation depth is quasi-statically increased. Here we present detailed analysis…

软凝聚态物质 · 物理学 2017-04-12 Matteo Taffetani , Dominic Vella

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…

经典物理 · 物理学 2016-05-18 I. Argatov , G. Mishuris

The surface tension of compliant materials such as gels provides resistance to deformation in addition to and sometimes surpassing that due to elasticity. This article studies how surface tension changes the contact mechanics of a small…

软凝聚态物质 · 物理学 2015-02-19 Chung-Yuen Hui , Tianshu Liu , Thomas Salez , Elie Raphael , Anand Jagota

We study the indentation of a thin elastic film floating at the surface of a liquid. We focus on the onset of radial wrinkles at a threshold indentation depth and the evolution of the wrinkle pattern as indentation progresses far beyond…

软凝聚态物质 · 物理学 2015-01-07 Dominic Vella , Jiangshui Huang , Narayanan Menon , Thomas P. Russell , Benny Davidovitch

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…

软凝聚态物质 · 物理学 2017-03-16 Dominic Vella , Benny Davidovitch

We present a detailed asymptotic analysis of the point indentation of an unpressurized, spherical elastic shell. Previous analyses of this classic problem have assumed that for sufficiently large indentation depths, such a shell deforms by…

软凝聚态物质 · 物理学 2017-12-21 Michael Gomez , Derek E. Moulton , Dominic Vella

Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

软凝聚态物质 · 物理学 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

Motivated by applications to seed germination, we consider the transverse deflection that results from the axisymmetric indentation of an elastic membrane by a rigid body. The elastic membrane is fixed around its boundary, with or without…

软凝聚态物质 · 物理学 2016-04-04 Simon P Pearce , John R King , Michael J Holdsworth

The importance of surface tension effects is being recognized in the context of soft composite solids, where it is found to significantly affect the mechanical properties, such as the elastic response to an external stress. It has recently…

软凝聚态物质 · 物理学 2017-02-07 Francesco Mancarella , John S. Wettlaufer

Elastic materials with holes and inclusions are important in a large variety of contexts ranging from construction material to biological membranes. More recently, they have also been exploited in mechanical metamaterials, where the…

软凝聚态物质 · 物理学 2021-05-26 Siddhartha Sarkar , Matjaz Cebron , Miha Brojan , Andrej Kosmrlj

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

软凝聚态物质 · 物理学 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

Thin elastic two-dimensionnal systems under compressive stresses may relieve part of their stretching energy by developing out of plane undulations. We investigate experimentally and theoretically the indentation of an elastic disk…

经典物理 · 物理学 2023-05-26 Tristan Suzanne , Julien Deschamps , Marc Georgelin , Gwenn Boedec

This paper explores the fluid-elastic response of a cantilevered flexible sheet in the presence of uniform airflow. The leading edge of the sheet is clamped, while at the trailing edge, in-plane tension is applied to provide additional…

流体动力学 · 物理学 2011-01-14 Michael T. Morris-Thomas , Sverre Steen

The classical models of Hertz, Sneddon and Boussinesq provide solutions for problems of indentation of a semi-infinite elastic massif by a sphere, a sphere or a cone and a flat punch. Although these models have been widely tested, it…

经典物理 · 物理学 2019-04-05 Christophe Fond

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

偏微分方程分析 · 数学 2013-11-22 Ivan Argatov
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