Forces on rigid inclusions in elastic media and resulting matrix-mediated interactions

Abstract

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 between spherical particles are calculated analytically, inspired by the approach in the fluid case. Our experiments on interacting magnetic particles confirm the theory. In view of the huge success of the method in hydrodynamics, we similarly expect many future applications in the elastic case, e.g. for elastic composite materials.

8 pages, 5 figures

References in corpus (7)

• The hydrodynamics of swimming microorganisms
• Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering
• Direct measurement of the flow field around swimming microorganisms
• Influence of hydrodynamic interactions on lane formation in oppositely charged driven colloids
• Tailoring of phononic band structures in colloidal crystals
• Faxen relations in solids - a generalized approach to particle motion in elasticity and viscoelasticity
• Hydrodynamic description of (visco)elastic composite materials and relative strains as a new macroscopic variable

Cited by in corpus (4)

• Magnetostriction in magnetic gels and elastomers as a function of the internal structure and particle distribution
• Displacement field around a rigid sphere in a compressible elastic environment, corresponding higher-order Faxén relations, as well as higher-order displaceability and rotateability matrices
• Classical density functional theory for a two-dimensional isotropic ferrogel model with labeled particles
• Rotating spherical particle in a continuous viscoelastic medium -- a microrheological example situation