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Liquid crystal elastomer films that morph into cones are strikingly capable lifters. Thus motivated, we combine theory, numerics, and experiments to reexamine the load-bearing capacity of conical shells. We show that a cone squashed between…

软凝聚态物质 · 物理学 2023-10-10 Daniel Duffy , Joselle M. McCracken , Tayler S. Hebner , Timothy J. White , John S. Biggins

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

软凝聚态物质 · 物理学 2023-09-21 Martine Ben Amar

Self-buckling is an interesting phenomenon that is easily found around us, either in nature or in objects made by human. Palm fronds which initially directed upward when they were short and turned into bending after appreciably longer is an…

Buckled membranes become ever more important with further miniaturization and development of ultra-thin film based systems. It is well established that the bulge test method, generally considered the gold standard for characterizing…

应用物理 · 物理学 2018-08-23 Salman Shafqat , Olaf van der Sluis , Marc Geers , Johan Hoefnagels

We study the dynamics of a double-stranded DNA (dsDNA) segment, as a semiflexible polymer, in a shear flow, the strength of which is customarily expressed in terms of the dimensionless Weissenberg number Wi. Polymer chains in shear flows…

软凝聚态物质 · 物理学 2016-04-08 Debabrata Panja , Gerard T. Barkema , J. M. J. van Leeuwen

We investigate buckling of soft elastic capsules under negative pressure or for reduced capsule volume. Based on nonlinear shell theory and the assumption of a hyperelastic capsule membrane, shape equations for axisymmetric and initially…

软凝聚态物质 · 物理学 2011-12-01 Sebastian Knoche , Jan Kierfeld

Buckling and barrelling instabilities in the uniaxial compressions of an elastic rectangle have been studied by many authors under lubricated end conditions. However, in practice it is very difficult to realize such conditions due to…

经典物理 · 物理学 2009-03-24 H. H. Dai , F. F. Wang

We prove finite-time Type-I blowup for the three-dimensional incompressible Euler equations in the axisymmetric no-swirl class, with initial velocity in $C^{1,\alpha}(\mathbb{R}^3)\cap L^2(\mathbb{R}^3)$, odd symmetry in $z$, and…

偏微分方程分析 · 数学 2026-05-06 Steve Shkoller

Recent theoretical advances offer an exact, first-principle theory of jamming criticality in infinite dimension as well as universal scaling relations between critical exponents in all dimensions. For packings of frictionless spheres near…

统计力学 · 物理学 2015-04-21 P. Charbonneau , E. I. Corwin , G. Parisi , F. Zamponi

The critical buckling characteristics of hydrostatically pressurized complete spherical shells filled with an elastic medium are demonstrated. A model based on small deflection thin shell theory, the equations of which are solved in…

软凝聚态物质 · 物理学 2011-03-14 Motohiro Sato , M. Ahmer Wadee , Kohtaroh Iiboshi , Takafumi Sekizawa , Hiroyuki Shima

We discuss mechanical buckling instabilities of a rigid film under compression interacting repulsively with a substrate through a thin fluid layer. The buckling occurs at a characteristic wavelength that increases as the 1/4th power of the…

软凝聚态物质 · 物理学 2009-11-13 Quan Zhang , Thomas A. Witten

We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through pre-deformation, the snap-through behavior of their loading curve to deliver a large stretch…

软凝聚态物质 · 物理学 2018-08-01 Yipin Su , Hannah Conroy Broderick , Weiqiu Chen , Michel Destrade

We investigate the physics of an optically-driven micromotor of biological origin. A single, live red blood cell, when placed in an optical trap folds into a rod-like shape. If the trapping laser beam is circularly polarized, the folded RBC…

We analyze the dynamics of a model of a nanobeam under compression. The model is a two mode truncation of the Euler-Bernoulli beam equation subject to compressive stress. We consider parameter regimes where the first mode is unstable and…

数学物理 · 物理学 2015-06-05 Peter Collins , Gregory S. Ezra , Stephen Wiggins

The twisting and writhing of a cell body and associated mechanical stresses is an underappreciated constraint on microbial self-propulsion. Multi-flagellated bacteria can even buckle and writhe under their own activity as they swim through…

软凝聚态物质 · 物理学 2023-09-25 Wilson Lough , Douglas B. Weibel , Saverio E. Spagnolie

Columnar buckling is a ubiquitous phenomenon that occurs in both living things and man-made objects, regardless of the length scale ranging from macroscopic to nanometric structures. In general, analyzing the post-buckling behavior of a…

材料科学 · 物理学 2020-10-13 Hiroyuki Shima

Snapping mechanisms are investigated for an elastic strip with ends imposed to move and rotate in time. Attacking the problem analytically via Euler's elastica and the second variation of the total potential energy, the number of stable…

软凝聚态物质 · 物理学 2019-01-29 Alessandro Cazzolli , Francesco Dal Corso

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

软凝聚态物质 · 物理学 2022-02-15 Yijiang Yu , Michael D. Graham

We predict a novel buckling instability in the critical state of thin type-II superconductors with strong pinning. This elastic instability appears in high perpendicular magnetic fields and may cause an almost periodic series of flux jumps…

超导电性 · 物理学 2009-10-31 R. G. Mints , E. H. Brandt

A law previously found for shear moduli of crystalline materials is developed and extended to all elastic moduli in solids and structures. Shear moduli were previously shown to depend only on specific volume. The bulk moduli of many…

材料科学 · 物理学 2023-11-15 S. J. Burns , Sean P. Burns