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

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 i...

Full description

Saved in:
Bibliographic Details
Published in:Archive of applied mechanics (1991) 2019-01, Vol.89 (1), p.47-62
Main Authors: Metsch, P., Kalina, K. A., Brummund, J., Kästner, M.
Format: Article
Language:English
Subjects:
Boundary value problems
Classical Mechanics
Computer simulation
Deformation mechanisms
Elastomers
Engineering
Finite element method
Mechanical properties
Modelling
Rheological properties
Rheology
Special
Theoretical and Applied Mechanics
Three dimensional models
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-018-1442-2