Microstructure modeling and experimental verification of isotropic magnetorheological elastomers based on edge-centered cubic structure

Abstract

Abstract Aiming at the problem that the existing mechanism cannot accurately predict the shear properties of magnetorheological elastomers (MREs), in this research, a physical microscopic constitutive model of isotropic MREs based on an edge-centered cubic (ECC) lattice structure was constructed to accurately reflect the shear properties of isotropic MREs under quasi-static and dynamic shear modes and different magnetic fields. In order to reduce the error of the potential energy model in the modeling process, the accuracy of the MRE total potential energy theoretical model based on the ECC lattice structure was improved by transforming γ = θ to γ = tan θ under finite strain, and the maximum improvement rate of the model accuracy was 6%. Then, in order to construct a microstructure-based dynamic model, the Langevin equation was constructed based on the ECC lattice, and an exact solvable model of the topological regular network was constructed by the Rouse chain. The relationship between the relaxation time, eigenvalue and magnetic flux density was revealed, and then the updated shear modulus was solved. Then, the modulus values of the prepared isotropic MRE samples at different frequencies and magnetic flux densities were compared with the theoretical model values, and the model failure phenomenon under dynamic high magnetic field, in which the theoretical results are inconsistent with the experimental results, was modified by the method of piecewise function and optimization parameters. The final results show that the correlation coefficient R 2 between the experimental results and the theoretical results can reach 99%.