To the theory of shear elastic properties of magnetic gels
MetadataShow full item record
Physica A: Statistical Mechanics and its Applications 486, 908-914, 2017
SponsorshipA.Z. and L.I. are grateful for the financial support to the Russian Fund for Basic Research, 16-58-12003 and the Program of Russian Federation Ministry of Science and Education, project 3.1438.2017/4.6. M.L-L was supported by the project FIS2013-41821-R (Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, Ministerio de Economía y Competitividad, Spain, co-funded by ERDF, European Union).
We present results of theoretical study of elastic shear modulus of magnetic gels, consisting of single non Brownian magnetic particles, homogeneously (gas-like) distributed in an elastic matrix. The composite is placed in magnetic field, perpendicular to the direction of the sample shear. Effect of both, magnetically hard and soft particles is studied. In order to get mathematically rigorous results, we have restricted ourselves by the analysis of the composites with low concentration of the particles and neglected any interactions between them. Only small deformations of the system were considered. Analysis shows that effect of magnetic field on the macroscopic (measurable) shear modulus of the composite can be comparable with that, provided by the presence of the rigid inclusions in the elastic matrix. The suggested asymptotic model can be a robust background for the study of the systems with moderate or high concentration of the particles.