A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys
We derive an energy-based material model for thermomechanically coupled phase transformations in polycrystalline shape memory alloys. For the variational formulation of the model, we use the principle of the minimum of the dissipation potential for nonisothermal processes for which only a minimal nu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2013-11-01
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| Series: | Journal of the Mechanical Behavior of Materials |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jmbm-2013-0016 |
| _version_ | 1818692358586236928 |
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| author | Junker Philipp Hackl Klaus |
| author_facet | Junker Philipp Hackl Klaus |
| author_sort | Junker Philipp |
| collection | DOAJ |
| description | We derive an energy-based material model for thermomechanically coupled phase transformations in polycrystalline shape memory alloys. For the variational formulation of the model, we use the principle of the minimum of the dissipation potential for nonisothermal processes for which only a minimal number of constitutive assumptions has to be made. By introducing a condensed formulation for the representative orientation distribution function, the resulting material model is numerically highly efficient. For a first analysis, we present the results of material point calculations, where the evolution of temperature as well as its influence on the mechanical material response is investigated. |
| first_indexed | 2024-12-17T12:56:31Z |
| format | Article |
| id | doaj.art-480acffe042744638f6272750ef426db |
| institution | Directory Open Access Journal |
| issn | 0334-8938 2191-0243 |
| language | English |
| last_indexed | 2024-12-17T12:56:31Z |
| publishDate | 2013-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of the Mechanical Behavior of Materials |
| spelling | doaj.art-480acffe042744638f6272750ef426db2022-12-21T21:47:28ZengDe GruyterJournal of the Mechanical Behavior of Materials0334-89382191-02432013-11-01223-411111810.1515/jmbm-2013-0016A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloysJunker Philipp0Hackl Klaus1Lehrstuhl für Mechanik-Materialtheorie, Ruhr-Universität Bochum, Bochum, GermanyLehrstuhl für Mechanik-Materialtheorie, Ruhr-Universität Bochum, Bochum, GermanyWe derive an energy-based material model for thermomechanically coupled phase transformations in polycrystalline shape memory alloys. For the variational formulation of the model, we use the principle of the minimum of the dissipation potential for nonisothermal processes for which only a minimal number of constitutive assumptions has to be made. By introducing a condensed formulation for the representative orientation distribution function, the resulting material model is numerically highly efficient. For a first analysis, we present the results of material point calculations, where the evolution of temperature as well as its influence on the mechanical material response is investigated.https://doi.org/10.1515/jmbm-2013-0016orientation distribution functionshape memory alloysthermal couplingthermodynamic extremum principlevariational principle |
| spellingShingle | Junker Philipp Hackl Klaus A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys Journal of the Mechanical Behavior of Materials orientation distribution function shape memory alloys thermal coupling thermodynamic extremum principle variational principle |
| title | A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys |
| title_full | A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys |
| title_fullStr | A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys |
| title_full_unstemmed | A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys |
| title_short | A condensed variational model for thermo-mechanically coupled phase transformations in polycrystalline shape memory alloys |
| title_sort | condensed variational model for thermo mechanically coupled phase transformations in polycrystalline shape memory alloys |
| topic | orientation distribution function shape memory alloys thermal coupling thermodynamic extremum principle variational principle |
| url | https://doi.org/10.1515/jmbm-2013-0016 |
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