Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers
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 v...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-05-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/14/9/2380 |
| _version_ | 1797535336961671168 |
|---|---|
| author | Philipp Metsch Raphael Schiedung Ingo Steinbach Markus Kästner |
| author_facet | Philipp Metsch Raphael Schiedung Ingo Steinbach Markus Kästner |
| author_sort | Philipp Metsch |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T11:43:01Z |
| format | Article |
| id | doaj.art-109ffc7549a54244831c49d1f544c6f4 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T11:43:01Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-109ffc7549a54244831c49d1f544c6f42023-11-21T18:15:24ZengMDPI AGMaterials1996-19442021-05-01149238010.3390/ma14092380Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active ElastomersPhilipp Metsch0Raphael Schiedung1Ingo Steinbach2Markus Kästner3Institute of Solid Mechanics, Technische Universität Dresden, 01062 Dresden, GermanyICAMS, Ruhr-University Bochum, 44801 Bochum, GermanyICAMS, Ruhr-University Bochum, 44801 Bochum, GermanyInstitute of Solid Mechanics, Technische Universität Dresden, 01062 Dresden, GermanyWithin 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.https://www.mdpi.com/1996-1944/14/9/2380magneto-active elastomersstrong magneto-mechanical couplingbenchmark |
| spellingShingle | Philipp Metsch Raphael Schiedung Ingo Steinbach Markus Kästner Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers Materials magneto-active elastomers strong magneto-mechanical coupling benchmark |
| title | Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers |
| title_full | Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers |
| title_fullStr | Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers |
| title_full_unstemmed | Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers |
| title_short | Benchmark for the Coupled Magneto-Mechanical Boundary Value Problem in Magneto-Active Elastomers |
| title_sort | benchmark for the coupled magneto mechanical boundary value problem in magneto active elastomers |
| topic | magneto-active elastomers strong magneto-mechanical coupling benchmark |
| url | https://www.mdpi.com/1996-1944/14/9/2380 |
| work_keys_str_mv | AT philippmetsch benchmarkforthecoupledmagnetomechanicalboundaryvalueprobleminmagnetoactiveelastomers AT raphaelschiedung benchmarkforthecoupledmagnetomechanicalboundaryvalueprobleminmagnetoactiveelastomers AT ingosteinbach benchmarkforthecoupledmagnetomechanicalboundaryvalueprobleminmagnetoactiveelastomers AT markuskastner benchmarkforthecoupledmagnetomechanicalboundaryvalueprobleminmagnetoactiveelastomers |