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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2019
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/1912.01356 |
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| _version_ | 1866910916966088704 |
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| author | Frost, M. Benešová, B. Seiner, H. Kružík, M. Šittner, P. Sedlák, P. |
| author_facet | Frost, M. Benešová, B. Seiner, H. Kružík, M. Šittner, P. Sedlák, P. |
| contents | The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic transformation. The key point is the introduction of a novel austenite-martensite interaction term responsible for strain-softening of the material. Mathematical properties of the model are analyzed and a suitable regularization and a time-discrete approximation for numerical implementation to the finite-element method are proposed. Model performance is illustrated on two numerical simulations: tension of a superelastic NiTi ribbon and bending of a superelastic NiTi tube. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_01356 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Thermomechanical model for NiTi-based shape memory alloys covering macroscopic localization of martensitic transformation Frost, M. Benešová, B. Seiner, H. Kružík, M. Šittner, P. Sedlák, P. Materials Science Analysis of PDEs The work presents a thermomechanical model for polycrystalline NiTi-based shape memory alloys developed within the framework of generalized standard solids, which is able to cover loading-mode dependent localization of the martensitic transformation. The key point is the introduction of a novel austenite-martensite interaction term responsible for strain-softening of the material. Mathematical properties of the model are analyzed and a suitable regularization and a time-discrete approximation for numerical implementation to the finite-element method are proposed. Model performance is illustrated on two numerical simulations: tension of a superelastic NiTi ribbon and bending of a superelastic NiTi tube. |
| title | Thermomechanical model for NiTi-based shape memory alloys covering macroscopic localization of martensitic transformation |
| topic | Materials Science Analysis of PDEs |
| url | https://arxiv.org/abs/1912.01356 |