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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

Lubricated sliding contact between soft solids is an interesting topic in biomechanics and for the design of small-scale engineering devices. As a model of this mechanical set-up, two elastic nonlinear solids are considered jointed through…

经典物理 · 物理学 2020-01-16 D. Bigoni , N. Bordignon , A. Piccolroaz , S. Stupkiewicz

Recent findings suggest that shell protein distribution and morphology of bacterial microcompartments regulate the chemical fluxes facilitating reactions which dictate their biological function. We explore how the morphology and component…

软凝聚态物质 · 物理学 2023-07-25 Curt Waltmann , Ahis Shrestha , Monica Olvera de la Cruz

We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

软凝聚态物质 · 物理学 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

The transition of a fluid to a rigid glass upon cooling is a common route of transformation from liquid to solid that embodies the most poorly understood features of both phases1,2,3. From the liquid perspective, the puzzle is to understand…

软凝聚态物质 · 物理学 2009-01-23 Asaph Widmer-Cooper , Heidi Perry , Peter Harrowell , David R. Reichman

A discrete model for the sintering of polydisperse, inhomogeneous arrays of cylinders is presented with empirical contact force-laws, taking into account plastic deformations, cohesion, temperature dependence (melting), and long-time…

统计力学 · 物理学 2007-05-23 Stefan Luding , Karsten Manetsberger , Johannes Müllers

Colloidal and other granular media experience a transition to rigidity known as jamming if the fill fraction is increased beyond a critical value. The resulting jammed structures are locally disordered, bear applied loads inhomogenously,…

软凝聚态物质 · 物理学 2016-08-04 Christopher J. Burke , Timothy J. Atherton

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

软凝聚态物质 · 物理学 2021-07-12 Maxime M. C. Tortora , Daniel Jost

By means of periodic orbit theory and deformed cavity model, we have investigated semiclassical origin of superdeformed shell structure and also of reflection-asymmetric deformed shapes. Systematic analysis of quantum-classical…

核理论 · 物理学 2009-10-30 K. Arita , A. Sugita , K. Matsuyanagi

Growth-elasticity is a powerful model framework for understanding complex shape development in soft biological tissues. At each instant, by mapping how continuum building blocks have grown geometrically and how they respond elastically to…

数值分析 · 数学 2024-10-23 Min Wu

Indentation has been widely used for investigating the mechanical behavior of glasses. However, how the various microscopic properties (such as atomic structure and mechanics) of glass evolve from the immediate contact with the indenter to…

无序系统与神经网络 · 物理学 2023-05-09 Linfeng Ding , Ranran Lu , Lianjun Wang , Qiuju Zheng , John C. Mauro , Zhen Zhang

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

软凝聚态物质 · 物理学 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

We explore the intrinsic dynamics of spherical shells immersed in a fluid in the vicinity of their buckled state, through experiments and 3D axisymmetric simulations. The results are supported by a theoretical model that accurately…

软凝聚态物质 · 物理学 2021-10-04 Marcel Mokbel , Adel Djellouli , Catherine Quilliet , Sebastian Aland , Gwennou Coupier

Motivated by simulations of carbon nanocones (see Jordan and Crespi, Phys. Rev. Lett., 2004), we consider a variational plate model for an elastic cone under compression in the direction of the cone symmetry axis. Assuming radial symmetry,…

偏微分方程分析 · 数学 2019-12-13 Sergio Conti , Heiner Olbermann , Ian Tobasco

We study the evolution from a liquid to a crystal phase in two-dimensional curved space. At early times, while crystal seeds grow preferentially in regions of low curvature, the lattice frustration produced in regions with high curvature is…

软凝聚态物质 · 物理学 2015-06-16 Nicolas A. Garcia , Richard A. Register , Daniel A. Vega , Leopoldo R. Gomez

Hollow microgels are elastic polymer shells easily realizable in experiments. Recent works have shown the emergence of buckling events in dilute hollow microgels under the effect of an added osmotic pressure. Here, we perform large-scale…

软凝聚态物质 · 物理学 2026-01-19 Leah Rank , Emanuela Zaccarelli

Evaporating droplets of polymer or colloid solution may produce a glassy crust at the liquid-vapour interface, which subsequently deforms as an elastic shell. For sessile droplets, the known radial outward flow of solvent is expected to…

材料科学 · 物理学 2009-11-11 D. A. Head

When cooled down, emulsion droplets stabilized by a frozen interface of alkane molecules and surfactants have been observed to undergo a spectacular sequence of morphological transformations: from spheres to faceted icosahedra, down to…

软凝聚态物质 · 物理学 2021-08-03 Ireth García-Aguilar , Piermarco Fonda , Eli Sloutskin , Luca Giomi

Under increasing compression, an unbuckled shell is in a metastable state which becomes increasingly precarious as the buckling load is approached. So to induce premature buckling a lateral disturbance will have to overcome a decreasing…

软凝聚态物质 · 物理学 2016-03-23 J. Michael T. Thompson , Jan Sieber

Numerical and analytical methods are developed for the investigation of contact sets in electrostatic-elastic deflections modeling micro-electro mechanical systems. The model for the membrane deflection is a fourth-order semi-linear partial…

数值分析 · 数学 2020-04-20 Kelsey L. DiPietro , Ronald D. Haynes , Weizhang Huang , Alan E. Lindsay , Yufei Yu