Bridging from particle to macroscopic scales in uniaxial magnetic gels

Abstract

Connecting the different length scales of characterization is an important, but often very tedious task for soft matter systems. Here we carry out such a procedure for the theoretical description of anisotropic uniaxial magnetic gels. The so-far undetermined material parameters in a symmetry-based macroscopic hydrodynamic-like description are determined starting from a simplified mesoscopic particle-resolved model. This mesoscopic approach considers chain-like aggregates of magnetic particles embedded in an elastic matrix. Our procedure provides an illustrative background to the formal symmetry-based macroscopic description. There are presently other activities to connect such mesoscopic models as ours with more microscopic polymer-resolved approaches; together with these activities, our study complements a first attempt of scale-bridging from the microscopic to the macroscopic level in the characterization of magnetic gels.

14 pages, 7 figures

References in corpus (5)

• Magneto-sensitive elastomers in a homogeneous magnetic field: a regular rectangular lattice model
• Effects of particle distribution on mechanical properties of magneto-sensitive elastomers in a homogeneous magnetic field
• Structural control of elastic moduli in ferrogels and the importance of non-affine deformations
• Tunable dynamic response of magnetic gels: impact of structural properties and magnetic fields
• Magnetomechanical response of bilayered magnetic elastomers

Cited by in corpus (6)

• Magnetostriction in magnetic gels and elastomers as a function of the internal structure and particle distribution
• 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
• Hydrodynamic description of (visco)elastic composite materials and relative strains as a new macroscopic variable
• Density functional approach to elastic properties of three-dimensional dipole-spring models for magnetic gels