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

Abstract

Aiming at the problem that the existing mechanism model cannot accurately predict the shear properties of MREs, in this research, a physical microscopic constitutive model of isotropic MREs based on 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=tanθ under finite strain, and the maximum improvement rate of the model accuracy was 6 %. Then, in order to construct a microstructure-based dynamic model, based on the exact solvable model of the topological regular network constructed by the Rouse chain, the Langevin equation was constructed based on the ECC lattice. The relationship between relaxation time, eigenvalue and magnetic flux density were revealed, and then the updated shear modulus was solved. Then, the modulus values of the prepared isotropic MREs samples at different frequencies and different magnetic flux densities were compared with the theoretical model values, and the model failure phenomenon in which the theoretical results are inconsistent with the experimental results under dynamic high magnetic field was modified by the method of piecewise function and optimization parameters. The final results show that the correlation coefficient R2 between the experimental results and the theoretical results can reach to 99 %.