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We consider an elastic composite material containing particulate inclusions in a soft elastic matrix that is bounded by a rigid wall, e.g., the substrate. If such a composite serves as a soft actuator, forces are imposed on or induced…

Soft Condensed Matter · Physics 2017-05-12 Andreas M. Menzel

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

Dynamics at low Reynolds numbers experiences recent revival in the fields of biophysics and active matter. While in bulk isotropic fluids it is exhaustively studied, this is less so in anisotropic fluids and in confined situations. Here, we…

Soft Condensed Matter · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Elsen Tjhung , Marc Pradas , Thomas Richter , Andreas M. Menzel

For homogeneous and isotropic linearly elastic solids and for incompressible fluids under low-Reynolds-number conditions the fundamental solutions of the associated continuum equations were derived a long time ago for bulk systems. That is,…

Soft Condensed Matter · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Lukas Fischer , Marc Pradas , Andreas M. Menzel

When particulate suspensions are sheared, perturbations in the shear flows around the rigid particles increase the local energy dissipation, so that the viscosity of the suspension is effectively higher than that of the solvent. For bulk…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , Alex J. Levine

Embedding rigid inclusions into elastic matrix materials is a procedure of high practical relevance, for instance for the fabrication of elastic composite materials. We theoretically analyze the following situation. Rigid spherical…

Soft Condensed Matter · Physics 2017-05-15 Mate Puljiz , Andreas M. Menzel

Many practically relevant materials combine properties of viscous fluids and elastic solids to viscoelastic behavior. Our focus is on the induced dynamic behavior of damped finite-sized particulate inclusions in such substances. We…

Soft Condensed Matter · Physics 2019-01-04 Mate Puljiz , Andreas M. Menzel

Functionalized thin elastic films and membranes frequently feature internal sites of net forces or stresses. These are, for instance, active sites of actuation, or rigid inclusions in a strained membrane that induce counterstress upon…

Soft Condensed Matter · Physics 2024-09-02 Tyler Lutz , Andreas M. Menzel , Abdallah Daddi-Moussa-Ider

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

Edges are abundant when elastic solids glide in guiding rails or fluids are contained in vessels. We here address induced displacements in elastic solids or small-scale flows in viscous fluids in the vicinity of one such edge. For this…

Soft Condensed Matter · Physics 2025-06-25 Abdallah Daddi-Moussa-Ider , Andreas M. Menzel

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

Graphics · Computer Science 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

We study effective two- and three-body interactions between non-active colloidal inclusions in an active bath of chiral or non-chiral particles, using Brownian Dynamics simulations within a standard, two-dimensional model of disk-shaped…

Soft Condensed Matter · Physics 2017-12-06 Mahdi Zaeifi Yamchi , Ali Naji

The mechanical properties of biological materials are spatially heterogeneous. Typical tissues are made up of a spanning fibrous extracellular matrix in which various inclusions, such as living cells, are embedded. While the influence of…

Soft Condensed Matter · Physics 2025-09-04 Jordan L. Shivers , Jingchen Feng , Fred C. MacKintosh

Elastomers filled with liquid inclusions -- as opposed to conventional solid fillers -- are a recent trend in the soft matter community because of their unique range of mechanical and physical properties. Such properties stem, in part, from…

We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

Analysis of PDEs · Mathematics 2025-01-14 Claudiu Mîndrilă , Arnab Roy

The viscous dissipation between rigid, randomly rough indenters and linearly elastic counter bodies sliding past them is investigated using Green's function molecular dynamics. The study encompasses a variety of models differing in the…

Soft Condensed Matter · Physics 2021-05-21 Sergey Sukhomlinov , Martin H. Müser

Compact analytical forms are derived for the interactions involving thin disks in two dimensions using an integration approach. These include interactions between a disk and a material point, between two disks, and between a disk and a…

Soft Condensed Matter · Physics 2025-11-27 Binghan Liu , Junwen Wang , Gary S. Grest , Shengfeng Cheng

Liquids in contact with solids are submitted to intermolecular forces making liquids heterogeneous and, in a mechanical model, the stress tensor is not any more spherical as in homogeneous bulks. The aim of this article is to show that a…

Soft Condensed Matter · Physics 2009-04-14 Henri Gouin

We measure hydrodynamic interactions between colloidal particles confined in a thin sheet of fluid. The reduced dimensionality, compared to a bulk fluid, increases dramatically the range of couplings. Using optical tweezers we force a two…

Soft Condensed Matter · Physics 2009-11-13 R. Di Leonardo , S. Keen , F. Ianni , J. Leach , M. Padgett , G. Ruocco

We outline a methodology for the simulation of particle-laden flows whereby the dispersed and fluid phases are two-way coupled. The drag force which couples fluid and particle momentum depends on the undisturbed fluid velocity at the…

Fluid Dynamics · Physics 2020-04-21 J. A. K. Horwitz , G. Iaccarino , J. K. Eaton , A. Mani
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