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This paper presents an experimental investigation on pattern formation and evolution in bilayered tubular organs using swelling deformation of polydimethylsiloxane (PDMS) and aims at supplying a thorough comparison with theoretical and…

Soft Condensed Matter · Physics 2022-02-15 Rui-Cheng Liu , Lishuai Jin , Zongxi Cai , Yang Liu

We propose and analyze a mathematical model of the mechanics of gels, consisting of the laws of balance of mass and linear momentum. We consider a gel to be an immiscible and incompressible mixture of a nonlinearly elastic polymer and a…

Analysis of PDEs · Mathematics 2012-10-17 Brandon Chabaud , Maria-Carme Calderer

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

Soft Condensed Matter · Physics 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

Attractive colloidal dispersions, suspensions of fine particles which aggregate and frequently form a space spanning elastic gel are ubiquitous materials in society with a wide range of applications. The colloidal networks in these…

Fluid Dynamics · Physics 2018-11-14 Zsigmond Varga , Jennifer L. Hofmann , James W. Swan

The duality between deformations of elastic bodies and non-inertial flows in viscous liquids has been a guiding principle in decades of research. However, this duality is broken when a spheroidal or other doubly-curved liquid film is…

Soft Condensed Matter · Physics 2023-07-20 Benny Davidovitch , Avraham Klein

The stability of convection rolls in a fluid heated from below is limited by secondary instabilities, including the skew-varicose and crossroll instabilities. We observe a stability boundary defined by the same instabilities in stripe…

Many elastic structures exhibit rapid shape transitions between two possible equilibrium states: umbrellas become inverted in strong wind and hopper popper toys jump when turned inside-out. This snap-through is a general motif for the…

Soft Condensed Matter · Physics 2023-06-21 Basile Radisson , Eva Kanso

Shell buckling is central in many biological structures and advanced functional materials, even if, traditionally, this elastic instability has been regarded as a catastrophic phenomenon to be avoided for engineering structures. Either way,…

Soft Condensed Matter · Physics 2021-05-17 Dong Yan , Matteo Pezzulla , Lilian Cruveiller , Arefeh Abbasi , Pedro M. Reis

The buckling of hyperelastic incompressible cylindrical tubes of arbitrary length and thickness under compressive axial load is considered within the framework of nonlinear elasticity. Analytical and numerical methods for bifurcation are…

Exactly Solvable and Integrable Systems · Physics 2008-12-09 Alain Goriely , Rebecca Vandiver , Michel Destrade

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a maximum when the amplitude is of the order of the thickness…

Soft Condensed Matter · Physics 2015-06-05 J. Hure , B. Roman , J. Bico

Precipitation patterns generated by A^{+}+B^{-} --> C type reaction-diffusion processes are studied. It is shown both theoretically and experimentally that the patterns can be controlled by an appropriately designed, time-dependent electric…

Other Condensed Matter · Physics 2008-11-13 Ioana Bena , Michel Droz , Istvan Lagzi , Kirsten Martens , Zoltan Racz , Andras Volford

Colloidal gels consist of percolating networks of interconnected arms. Their mechanical properties depend on the individual arms, and on their collective behaviour. We use numerical simulations to pull on a single arm, built from a model…

Soft Condensed Matter · Physics 2023-01-31 Kristian Thijssen , T. B. Liverpool , C. Patrick Royall , Robert L. Jack

Dynamic buckling is addressed for complete elastic spherical shells subject to a rapidly applied step in external pressure. Insights from the perspective of nonlinear dynamics reveal essential mathematical features of the buckling…

Soft Condensed Matter · Physics 2019-02-07 Jan Sieber John W. Hutchinson , J. Michael T. Thompson

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…

Soft Condensed Matter · Physics 2021-10-04 Marcel Mokbel , Adel Djellouli , Catherine Quilliet , Sebastian Aland , Gwennou Coupier

When a thin stream of aqueous sodium alginate is extruded into a reacting calcium chloride bath, it polymerizes into a soft elastic tube that spontaneously forms helical coils due to the ambient fluid drag. We quantify the onset of this…

Soft Condensed Matter · Physics 2021-03-04 Aditi Chakrabarti , Salem Al-Mosleh , L. Mahadevan

We present a model for the spontaneous formation of a striated pattern in polymerizing microtubule solutions. It describes the buckling of a single microtubule (MT) bundle within an elastic network formed by other similarly aligned and…

Biological Physics · Physics 2007-06-13 Yongxing Guo , Yifeng Liu , Jay X. Tang , James M. Valles

Gels are an increasingly important class of soft materials with applications ranging from regenerative medicine to commodity materials. A major drawback of gels is their relative mechanical weakness, which worsens further under strain. We…

Soft Condensed Matter · Physics 2017-07-31 Yen H. Tran , Matthew J. Rasmuson , Todd S. Emrick , John Klier , Shelly R. Peyton

We study the structure and the dynamics in the formation of irreversible gels by means of molecular dynamics simulation of a model system where the gelation transition is due to the random percolation of permanent bonds between neighboring…

Soft Condensed Matter · Physics 2015-06-25 T. Abete , A. de Candia , E. Del Gado , A. Fierro , A. Coniglio

We sandwich a colloidal gel between two parallel plates and induce a radial flow by lifting the upper plate at a constant velocity. Two distinct scenarios result from such a tensile test: ($i$) stable flows during which the gel undergoes a…

Soft Condensed Matter · Physics 2020-08-10 Thibaut Divoux , Asheesh Shukla , Badis Marsit , Yacouba Kaloga , Irmgard Bischofberger
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