Microscale modeling and simulation of magnetorheological elastomers at finite strains: A study on the influence of mechanical preloads
K. A. Kalina, P. Metsch, M. Kaestner,
Volume: 102-103. Pages: 286--296
DOI: 10.1016/j.ijsolstr.2016.10.019
Published: 2016
Abstract
Abstract Herein, we present a numerical study on the deformation
dependent behavior of magnetorheological elastomers with structured
and unstructured particle distributions. To this end, finite element
simulations are performed in order to calculate the effective magnetization
and macroscopic actuation stresses for different specimens with realistic
microstructures and varying mechanical preloads. Since the proposed
microscale model is based on a continuum formulation of the magnetomechanical
boundary value problem, the local magnetic and mechanical fields
are resolved explicitly within the microstructures. The consideration
of finite strains results in a finite element implementation of the
coupled field problem for which a consistent linearization scheme
is presented. In order to provide a better understanding of the deformation
dependent behavior in real specimens, a study on chain-like structures
is performed. It reveals that the interaction of the constituents
in chain-like structures yields different material responses depending
on their position. These findings are used to explain the influence
of mechanical preloads on the behavior of samples with structured
and unstructured arrangements of the particles. All of our results
are in good agreement with experimental investigations which have
been carried out for magnetorheological elastomers comprising a structured
particle distribution.