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Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming microorganisms. In [23], we developed a PDE framework for…

Analysis of PDEs · Mathematics 2019-10-30 Yoichiro Mori , Laurel Ohm , Daniel Spirn

A method is described for embedding a deformable, elastic, membrane within a lattice Boltzmann fluid. The membrane is represented by a set of massless points which advect with the fluid and which impose forces on the fluid which are derived…

Soft Condensed Matter · Physics 2007-05-23 S V Lishchuk , C M Care

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets…

Fluid Dynamics · Physics 2015-05-19 Camille Duprat , Jeffrey M. Aristoff , Howard A. Stone

Hertzian contact of a rigid sphere and a highly deformable soft solid is investigated using integrated photoelasticity. The experiments are performed by pressing a styrene sphere of 15 mm diameter against a 44 x 44 x 47 mm$^3$ cuboid made…

Materials Science · Physics 2022-12-28 Benjamin Mitchell , Yuto Yokoyama , Ali Nassiri , Yoshiyuki Tagawa , Yannis Korkolis , Brad Kinsey

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression---the so-called bimodular materials. The flexure problem is chosen to…

Soft Condensed Matter · Physics 2013-03-11 Michel Destrade , Jerry G. Murphy , Badar Rashid

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…

Soft Condensed Matter · Physics 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

The accurate measurement of fracture resistance in elastomers is essential for predicting the mechanical limits of soft devices. Usually, this is achieved by performing tearing or peeling experiments on thin-sheet samples. Here, we show…

Soft Condensed Matter · Physics 2023-06-12 Nan Xue , Rong Long , Eric R. Dufresne , Robert W. Style

The description of forces across confined complex fluids still holds many challenges due to the possible overlap of different contributions. Here, an attempt is made to untangle the interaction between charged surfaces across nanoparticle…

Soft Condensed Matter · Physics 2021-01-06 Michael Ludwig , Regine von Klitzing

The equilibrium state of a flexible fiber settling in a viscous fluid is examined using a combination of macroscopic experiments, numerical simulations and scaling arguments. We identify three regimes having different signatures on this…

Ice-infiltrated sediment, known as a frozen fringe, leads to phenomena such as frost heave, ice lenses, and meters of debris-rich ice under glaciers. Understanding the dynamics of frozen fringe development is important as frost heave is…

Fluid Dynamics · Physics 2021-09-28 Colin R. Meyer , Christian Schoof , Alan W. Rempel

We investigate the drag forces acting on large objects moving through a granular packing immersed in water. In this aim, we conducted uplift experiments involving pulling out horizontal plates at a prescribed velocity vertically. During…

Soft Condensed Matter · Physics 2020-04-28 Tanvir Hossain , Pierre Rognon

In many sliding systems consisting of solid object on a solid substrate under dry condition, the friction force does not depend on the apparent contact area and is proportional to the loading force. This behaviour is called Amontons' law…

Soft Condensed Matter · Physics 2013-04-05 Michio Otsuki , Hiroshi Matsukawa

Thin fluid or elastic films and membranes are found in nature and technology, for instance, as confinements of living cells or in loudspeakers. When applying a net force, resulting flows in an unbounded two-dimensional incompressible…

Soft Condensed Matter · Physics 2022-11-29 Tyler Lutz , Sonja K. Richter , Andreas M. Menzel

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The…

Statistical Mechanics · Physics 2011-08-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

We present a novel platform for the large-scale simulation of fibrous structures immersed in a Stokesian fluid and evolving under confinement or in free-space. One of the main motivations for this work is to study the dynamics of fiber…

Numerical Analysis · Mathematics 2017-01-04 Ehssan Nazockdast , Abtin Rahimian , Denis Zorin , Michael Shelley

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…

Soft Condensed Matter · Physics 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

A granular gripper is a device used to hold objects by taking advantage of the phenomenon of Reynold's dilatancy. A membrane containing a granular sample is allowed to deform around the object to be held and then vacuum is used to jam the…

Soft Condensed Matter · Physics 2020-10-29 Julián M. Gómez--Paccapelo , Angel A. Santarossa , H. Daniel Bustos , Luis A. Pugnaloni

Soft fracture in highly deformable solids involves both geometric and constitutive nonlinearities, necessitating advanced theoretical and computational frameworks for its accurate understanding. Tensile fractures subjected to mixed-mode…