SPP1713 - Strong coupling of thermo-chemical and thermo-mechanical states in applied materials
Modeling of strongly coupled magneto-mechanical behavior in magneto-sensitive elastomers
Field-controllable functional polymers represent a relatively new class of applied materials exhibiting a strong coupling of mechanical and external fields. The application of such fields influences the interactions between different local material phases and causes an evolution of the microstructure. A prominent example of such materials which is of particular interest in Project P3 of the DFG Priority Program 1713 are magneto-sensitive elastomers. They feature mechanical moduli that become enhanced under an applied magnetic field as well as the ability for magnetically induced deformations and actuation stresses. This makes magneto-sensitive elastomers very attractive for a variety of technical implementations, especially for actoric applications such as artificial muscles, sensors, micro-robots and micro-pumps. Typically, magneto-sensitive elastomers represent a two-component system, in which micron-sized magnetizable particles are embedded in a soft polymer network. The flexibility of polymer sub-chains between cross-links allows a considerable degree of particle movement and even diffusion under strong magnetic fields. As a result, the particles are prone to organize themselves into chain-like microstructures, which may considerably influence the coupled magneto-mechanical properties of magneto-sensitive elastomers. The goal of this project is the prediction of the macroscopic, coupled magneto-mechanical behavior of magneto-sensitive elastomers. Consequentally, the following tasks arise:
- modeling of the coupled magneto-mechanical behavior of magneto-sensitive elastomers at finite strains
- development of an efficient and robust solution scheme for the numerical simulation of magneto-sensitive elastomers using the finite-element method
- generalization of a magneto-mechanical homogenization framework for finite strains
- prediction of the effective material behavior of magneto-sensitive elastomers based on different idealized und realistic microstructures
- modeling of the microstructural evolution of magneto-sensitive elastomers with a diffuse-interface-model
- comparison of the results with experimental data as well as existing literature

Magnetostrictive effect for chainlike Microstructures with circular and elliptical inclusions: (a) deformed microstructures; (b) plot of the effective strain over the effective magnetic induction (the blue lines show the same effect for a magnetic field pointing in the vertical direction)
Project staff

Dipl.-Ing. Philipp Metsch
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Chair of Computational and Experimental Solid Mechanics
Visitor Address:
Zeunerbau, Room 356 George-Bähr-Straße 3c
01069 Dresden
- work Tel.
- +49 351 463-33284
- fax Fax
- +49 351 463-37061
Project Management

Professor for Computational and Experimental Solid Mechanics
NameProf. Dr.-Ing. habil. Markus Kästner
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Chair of Computational and Experimental Solid Mechanics
Visitor Address:
Zeunerbau, Room 353 George-Bähr-Straße 3c
01069 Dresden
- work Tel.
- +49 351 463-43065
- fax Fax
- +49 351 463-37061
Cooperations
DFG Priority Program SPP 1713
PD Dr. Marina Grenzer, Leibniz Institute of Polymer Research, Dresden
Dr. Dirk Romeis, Leibniz Institute of Polymer Research, Dresden
Publications
Journals
- P. Metsch, D. Romeis, K. A. Kalina, A. Raßloff, M. Sphiannikova, M. Kästner
Magneto-Mechanical Coupling in Magneto-Active Elastomers
Materials 14, pp. 434, 2021. [doi] - P. Metsch, H. Schmidt, D. Sindersberger, K. A. Kalina, J. Brummund, G. K. Auernhammer, G. J. Monkman, M. Kästner
Field-induced interactions in magneto-active elastomers - A comparison of experiments and simulations
Smart Materials and Structures 29, pp. 085026, 2020. [doi] - P. Metsch, K.A. Kalina, J. Brummund, M. Kästner
Two- and three-dimensional modeling approaches in magneto-mechanics: a quantitative comparison
Archive of Applied Mechanics 89, pp. 47-62, 2019. [doi] - D. Romeis, P. Metsch, M. Kästner, M. Saphiannikova
Theoretical Models for Magneto-Sensitive Elastomers: A Comparison between Continuum and Dipole Approaches
Physical Review E 95, pp. 042501, 2017. [doi] - K. A. Kalina, P. Metsch, M. Kästner,
Microscale modeling and simulation of magnetorheological elastomers at finite strains: A study on the influence of mechanical preloads
International Journal of Solids and Structures, 2016. [doi] - P. Metsch, K. A. Kalina, C. Spieler, M. Kästner,
A numerical study on magnetostrictive phenomena in magnetorheological elastomers
Computational Materials Science 124, pp. 364-374, 2016. [doi] - M. Kästner, P. Metsch, R. de Borst
Isogeometric analysis of the Cahn-Hilliard equation - a convergence study
Journal of Computational Physics 305, S. 360-371, 2016. [url]
Proceedings
- P. Metsch, H. Schmidt, K. A. Kalina, J. Brummund, G. G. Auernhammer, M. Kästner
Particle Interactions in Magneto-Active Elastomers: Experiments and Simulations
Proceedings in Applied Mathematics and Mechanics 20, pp. e202000277, 2021. [doi] - P. Metsch, K. A. Kalina, J. Brummund, M. Kästner
A quantitative comparison of two-and three-dimensional modeling approaches for magnetorheological elastomers
Proceedings in Applied Mathematics and Mechanics 18, pp. e201800179, 2018. [doi] - P. Metsch, D. Romeis, M. Saphiannikova, M. Kästner
Modeling and simulation of magnetorheological elastomers: A comparison of continuum and dipole approaches
Proceedings in Applied Mathematics and Mechanics 17, S. 527-528, 2017. [doi]
Talks
- P. Metsch, K. A. Kalina, Jörg Brummund, G. K. Auernhammer, M. Kästner
Microscale analysis of interactions in magnetorheological elastomers
89th Annual Meeting of the International Association of Applied Mathematics and Mechanics, München, 2018 - P. Metsch, D. Romeis, M. Saphiannikova, M. Kästner
Modeling and simulation of magnetorheological elastomers: A comparison of continuum and dipole approaches
88th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Weimar, 2017 - P. Metsch, K. A. Kalina, M. Kästner
Modeling and simulation of coupling effects in magnetorheological elastomers
Materials Science and Engineering Congress, Darmstadt, 2016 - P. Metsch, K. A. Kalina, C. Lux, M. Kästner
Modeling and simulation of magnetorheological elastomers at finite strains
15th European Mechanics of Materials Conference, Brussels, 2016 - P. Metsch, K. Kalina, C. Spieler, D. Romeis, M. Saphiannikova, M. Kästner
Modeling and simulation of magnetostrictive phenomena in magnetorheological elastomers
Joint Annual Meeting of DMV and GAMM, Braunschweig, 2016 [Abstract] - P. Metsch, C. Spieler, M. Kästner
Magnetostriction of magnetorheological elastomers - finite element modeling and simulation
7th International Symposium on Design, Modelling and Experiments of Advanced Structures and Smart Systems, Radebeul, 2015 [Abstract] - P. Metsch, C. Spieler, M. Kästner
Microscopic modeling and finite element simulation of magnetorheological elastomers
86th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Lecce, 2015 [Abstract] - P. Metsch, C. Spieler, M. Kästner
Multiscale Finite Element Modeling of Magnetoactive Materials
79th Annual Meeting of the DPG and DPG Spring Meeting, Berlin, 2015 [Abstract] - P. Metsch, M. Kästner
Isogeometric analysis of the Cahn-Hilliard phase-field model – A convergence study
2nd GAMM Seminar on Phase-Field-Modelling, Siegen, 2015 [Abstract]