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
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
- 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, 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]