Forces on Rigid Inclusions in Elastic Media and Resulting Matrix-Mediated Interactions

2016/11/30 by Mate Puljiz, Shilin Huang, Günter K. Auernhammer +1 · 1 citation
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Classical mechanics #Composite material #Compressibility #Lattice Boltzmann Simulation Studies #Materials science #Matrix (chemical analysis) #Mechanics #Micro and Nano Robotics #Particle (ecology) #Physics #cond-mat.mtrl-sci #cond-mat.soft #physics.flu-dyn

paper · pdf · doi:10.1103/physrevlett.117.238003

published as Phys. Rev. Lett. 117, 238003 (2016) · 8 pages, 5 figures

openalex publication_date 2016/11/30 · arxiv created 2017/02/05 · arxiv updated 2017/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Impedance of a sphere oscillating in an elastic medium with and without slip
• Microfluidics: Fluid physics at the nanoliter scale
• Dynamic simulation of hydrodynamically interacting particles
• The hydrodynamics of swimming microorganisms
• Fluid dynamics and noise in bacterial cell–cell and cell–surface scattering

Cited by

• Reversible magnetomechanical collapse: virtual touching and detachment of rigid inclusions in a soft elastic matrix