Microscale Modeling and Simulation of Magnetorheological Elastomers

Abstract

Herein, a finite strain microscale model for magnetorheological elastomers (MREs) based on a general continuum formulation of the magneto-mechanical boundary value problem is introduced. The modelling approach enables to consider particles with magnetically soft or magnetically hard behavior. In order to connect the microscopic fields to effective macroscopic quantities, a suitable computational homogenization scheme is used. The microstructure of the considered MRE is discretized and the problem is solved numerically in terms of a coupled nonlinear finite element approach. Using the presented framework, the influence of the particle shape on the magnetostrictive effect of MREs filled with magnetically soft particles is discussed. Furthermore, the effective macroscopic hystereses of an MRE filled with magnetically hard particles are calculated.

Development of a Macro‐Model for Magnetorheological Elastomers based on Microscopic Simulations

“…As shown in Fig. In case of a rectangular shaped sample, this effect intensifies [2,3]. In case of a rectangular shaped sample, this effect intensifies [2,3].…”

“…The presented approach is based on a general continuum formulation of the coupled magneto-mechanical boundary value problem [1,2,5] which is valid on the micro-as well as the macroscale. To link these two scales, a suitable homogenization scheme is applied [4,5].…”

“…All RVEs are analyzed by means of three pure mechanical load cases (M1 -M3) and seven coupled magneto-mechanical load cases (MM1 -MM7) in the linear magnetic regime, see [2]. Within the microscopic simulations, the constitutive models presented in [1,5] are used.…”

“…Due to the inhomogeneous fields inside the MRE sample [2,3], this procedure however requires several simplifying assumptions. In the former, the heterogeneous microstructure is explicitly resolved and it is possible to predict the effective behavior of the composite.…”

Magnetorheological Elastomers: Materials and Applications

“…In addition, as a basic issue, the study of the interaction between two magnetic particles still keeps developing [80][81][82]. Moreover, besides the microstructure-based analytical model of MREs, the phenomenological continuous medium-based models were also studied [83][84][85][86][87][88][89][90][91][92][93]. These works focus on theoretically and/or experimentally studying the magneto-viscoelastic models for MREs.…”