@misc{10481/67773,
year = {2017},
url = {http://hdl.handle.net/10481/67773},
abstract = {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.},
organization = {A.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).},
title = {To the theory of shear elastic properties of magnetic gels},
doi = {j.physa.2017.06.007},
author = {López López, Modesto Torcuato and Iskakova, Larisa and Zubarev, Andrey},
}