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We use the image solution technique to compute the leading order frequency-dependent self-mobility function of a small solid particle moving perpendicular to the surface of a spherical capsule whose membrane possesses shearing and bending…

Fluid Dynamics · Physics 2017-02-01 Abdallah Daddi-Moussa-Ider , Stephan Gekle

The buckling instabilities of core-shell systems, comprising an interior elastic sphere, attached to an exterior shell, have been proposed to underlie myriad biological morphologies. To fully discuss such systems, however, it is important…

Soft Condensed Matter · Physics 2023-07-12 Yingzhen Tian , Megan McCarthy , Megan King , S. G. J. Mochrie

We analyse the dynamics of a weakly elastic spherical particle translating parallel to a rigid wall in a quiescent Newtonian fluid in the Stokes limit. The particle motion is constrained parallel to the wall by applying a point force and a…

Fluid Dynamics · Physics 2026-01-14 Shashikant Verma , Dinesh B , Navaneeth K Marath

We present a novel approach to probe elastic properties of polyelectrolyte multilayer microcapsules. The method is based on measurements of the capsule load-deformation curves with the atomic force microscope. The experiment suggests that…

Soft Condensed Matter · Physics 2009-11-10 V. V. Lulevich , D. Andrienko , O. I. Vinogradova

We present a molecular dynamics study of the flow of rigid spherical nanoparticles in a simple fluid. We evaluate the viscosity of the dispersion as a function of shear rate and nanoparticle volume fraction. We observe shear thinning…

Soft Condensed Matter · Physics 2020-07-15 Ekin Küçüksönmez , James Servantie

Shapes of biological membranes are dynamically regulated in living cells. Although membrane shape deformation by proteins at thermal equilibrium has been extensively studied, nonequilibrium dynamics have been much less explored. Recently,…

Biological Physics · Physics 2020-11-19 Naoki Tamemoto , Hiroshi Noguchi

Two nematic shells brought in contact coalesce in order to reduce their interfacial tension. This process proceeds through the creation of a liquid neck-like bridge through which the encapsulated fluid flows. Following this topological…

Soft Condensed Matter · Physics 2015-06-17 Badel L. Mbanga , Kate K. Voorhes , Timothy J. Atherton

We consider a class of models for nonlinearly elastic surfaces in this work. We have in mind thin, highly deformable structures modeled directly as two-dimensional nonlinearly elastic continua, accounting for finite membrane and bending…

Analysis of PDEs · Mathematics 2021-05-17 Timothy J. Healey

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of…

Numerical Analysis · Mathematics 2017-12-20 Thomas G. Fai , Chris H. Rycroft

Transport of microscopic objects across biological membranes usually involves membrane deformation to enclose the object followed by detachment of the engulfed particle. However, in artificial membranes, this last topological remodelling…

Soft Condensed Matter · Physics 2025-03-25 Florent Fessler , Pierre Muller , Antonio Stocco

Shear cell simulations and experiments of weakly wetted particles (a few volume percent liquid binders) are compared, with the goal to understand their flow rheology. Application examples are cores for metal casting by core shooting made of…

Soft Condensed Matter · Physics 2014-09-15 Ruediger Schwarze , Anton Gladkyy , Fabian Uhlig , Stefan Luding

We investigate the deformation of soft spherical elastic capsules filled with a ferrofluid in external uniform magnetic fields at fixed volume by a combination of numerical and analytical approaches. We develop a numerical iterative…

Soft Condensed Matter · Physics 2018-04-20 Christian Wischnewski , Jan Kierfeld

The motion of a long gas bubble in a confined capillary tube is ubiquitous in a wide range of engineering and biological applications. While the understanding of the deposited thin viscous film near the tube wall in Newtonian fluids is well…

Fluid Dynamics · Physics 2022-12-21 SungGyu Chun , Bingqiang Ji , Zhengyu Yang , Vinit Kumar Malik , Jie Feng

We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations with bending forces. We derive this model using the…

Numerical Analysis · Mathematics 2023-08-03 Elena Bachini , Veit Krause , Ingo Nitschke , Axel Voigt

Biological cells are able to generate intricate structures and respond to external stimuli, sculpting their membrane from within. Simplified biomimetic systems can aid in understanding the principles which govern these shape changes and…

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

The systematic change of shell structure in both weakly bound and resonant neutron one-particle levels in nuclei towards the neutron drip line is exhibited, solving the coupled equations derived from the Schr\"{o}dinger equation in…

Nuclear Theory · Physics 2011-02-18 Ikuko Hamamoto

In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivated by systems in membrane biology, such as cytoskeletal…

Numerical Analysis · Mathematics 2023-12-21 Basant Lal Sharma , Luigi E. Perotti , Sanjay Dharmavaram

We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The…

Fluid Dynamics · Physics 2014-04-03 Marco Martins Afonso , Simon Mendez , Franck Nicoud

We introduce a strain-energy based nonlinear hyper-elastic formulation to model the material properties of ultrasoft dielectric elastomers over a wide range of elastic properties, prestretch, and thicknesses. We build on the uniaxial Gent…

Materials Science · Physics 2020-06-24 Asimanshu Das , Kenneth S. Breuer , Varghese Mathai