Two- and three-dimensional modeling approaches in magneto-mechanics: A quantitative comparison

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung


In this contribution, we present a qualitative and quantitative comparison of two- and three-dimensional finite-element simulations for magneto-rheological elastomers. Based on a general continuum formulation of the coupled magneto-mechanical boundary value problem, a microscopic modeling approach is applied. The merit of this strategy is a full resolution of the local magnetic and mechanical fields within the heterogeneous microstructure of magneto-rheological elastomers—it allows to account for systems with high particle-volume fractions and small inter-particle distances. In order to understand basic deformation mechanisms as well as local magneto-mechanical interactions of the spherical inclusions, the differences between simplified two-dimensional and realistic three-dimensional simulations are initially shown for the example of chain-like structures with varying arrangements of the particles. Afterwards, an appropriate scale transition scheme is used to connect the microscopic and macroscopic quantities: Different two- and three-dimensional, ideal and random microstructures are analyzed with regard to their effective magneto-mechanical behavior.


Seiten (von - bis)47-62
FachzeitschriftArchive of Applied Mechanics
Jahrgang89 (2018)
PublikationsstatusVeröffentlicht - 2018

Externe IDs

Scopus 85051743311
ORCID /0000-0003-2645-6770/work/142235670
ORCID /0000-0003-3358-1545/work/142237110



  • Magnetorheologische Elastomere, Gekoppelte Feldprobleme, FEM