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.

arXiv comment8 pages, 5 figures

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Cited by in corpus (19)

• Forces and torques on rigid inclusions in an elastic environment: resulting matrix-mediated interactions, displacements, and rotations
• Magnetostriction in magnetic gels and elastomers as a function of the internal structure and particle distribution
• Reversible magnetomechanical collapse: virtual touching and detachment of rigid inclusions in a soft elastic matrix
• Tunable dynamic moduli of magnetic elastomers: from X-$\mu$CT characterization to mesoscopic modeling
• Dynamics in a one-dimensional ferrogel model: relaxation, pairing, shock-wave propagation
• Memory-based mediated interactions between rigid particulate inclusions in viscoelastic environments
• Force-induced elastic matrix-mediated interactions in the presence of a rigid wall
• Towards a soft magnetoelastic twist actuator
• 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
• A density functional approach to ferrogels
• Magnetically induced elastic deformations of magnetic gels and elastomers containing particles of mixed size
• Classical density functional theory for a two-dimensional isotropic ferrogel model with labeled particles
• Magnetic elastomers as specific soft actuators -- predicting particular modes of deformation from selected configurations of magnetizable inclusions
• Stimuli-responsive twist actuators made from soft elastic composite materials -- linking mesoscopic and macroscopic descriptions
• Density functional approach to elastic properties of three-dimensional dipole-spring models for magnetic gels
• Elastic displacements and viscous flows in wedge-shaped geometries with a straight edge: Green's functions for perpendicular forces
• Rotating spherical particle in a continuous viscoelastic medium -- a microrheological example situation
• The role of boundaries for displacements and motion in two-dimensional fluid or elastic films and membranes
• Elastic displacements and viscous hydrodynamic flows in wedge-shaped geometries with a straight edge: Green's functions for parallel forces