Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers
1
Institute of Solid Mechanics, Technische Universität Dresden, 01062 Dresden, Germany
2
ICAMS, Ruhr-University Bochum, 44801 Bochum, Germany
3
National Institute for Materials Science (NIMS), Tsukuba 305-0044, Japan
4
Dresden Center for Computational Materials Science (DCMS), Technische Universität Dresden, 01062 Dresden, Germany
*
Authors to whom correspondence should be addressed.
Academic Editor: Leif Kari
Materials 2021, 14(9), 2380; https://doi.org/10.3390/ma14092380
Received: 11 April 2021
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Revised: 29 April 2021
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Accepted: 1 May 2021
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Published: 3 May 2021
(This article belongs to the Special Issue Strong Coupling of Thermo-Chemical and Thermo-Mechanical States in Applied Materials)
Within this contribution, a novel benchmark problem for the coupled magneto-mechanical boundary value problem in magneto-active elastomers is presented. Being derived from an experimental analysis of magnetically induced interactions in these materials, the problem under investigation allows us to validate different modeling strategies by means of a simple setup with only a few influencing factors. Here, results of a sharp-interface Lagrangian finite element framework and a diffuse-interface Eulerian approach based on the application of a spectral solver on a fixed grid are compared for the simplified two-dimensional as well as the general three-dimensional case. After influences of different boundary conditions and the sample size are analyzed, the results of both strategies are examined: for the material models under consideration, a good agreement of them is found, while all discrepancies can be ascribed to well-known effects described in the literature. Thus, the benchmark problem can be seen as a basis for future comparisons with both other modeling strategies and more elaborate material models.
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MDPI and ACS Style
Metsch, P.; Schiedung, R.; Steinbach, I.; Kästner, M. Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers. Materials 2021, 14, 2380. https://doi.org/10.3390/ma14092380
AMA Style
Metsch P, Schiedung R, Steinbach I, Kästner M. Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers. Materials. 2021; 14(9):2380. https://doi.org/10.3390/ma14092380
Chicago/Turabian StyleMetsch, Philipp, Raphael Schiedung, Ingo Steinbach, and Markus Kästner. 2021. "Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers" Materials 14, no. 9: 2380. https://doi.org/10.3390/ma14092380
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