Phase transition and hysteresis analysis for shape memory alloys applications
Center manifold approximations for the 1D Landau‐Devonshire and 3D Falk‐Konopka models are applied to modelling phase transitions in shape memory alloys. The methodology, allowing a systematic improvement of mathematical models for phase transitions and hysteresis phenomena, is explained, and typica...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2001-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9918 |
| _version_ | 1818893461006319616 |
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| author | R. V. N. Melnik |
| author_facet | R. V. N. Melnik |
| author_sort | R. V. N. Melnik |
| collection | DOAJ |
| description | Center manifold approximations for the 1D Landau‐Devonshire and 3D Falk‐Konopka models are applied to modelling phase transitions in shape memory alloys. The methodology, allowing a systematic improvement of mathematical models for phase transitions and hysteresis phenomena, is explained, and typical computational results with such low‐dimensional models are presented.
Fizinio pernešimo ir histerinės analizės terpėse su formos atmintimi taikymai
Santrauka
Straipsnyje centriniu daugdaru aproksimacija vienmačiams Landau‐Devonskine ir trimačiams Falk‐Konopka modeliams pritaikyta faziniams pernešimams terpese su formos atmintimi. Metodologija leidžia sistemingai tikslinti foninio pernešimo reiškinio modelius. Pateikti tipiniai modeliavimo rezultatai mažos dimensijos modeliams.
First Published online: 14 Oct 2010 |
| first_indexed | 2024-12-19T18:12:58Z |
| format | Article |
| id | doaj.art-f5a3329d395947d08635e4cbeb0fd104 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T18:12:58Z |
| publishDate | 2001-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-f5a3329d395947d08635e4cbeb0fd1042022-12-21T20:11:15ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102001-12-016210.3846/13926292.2001.9637169Phase transition and hysteresis analysis for shape memory alloys applicationsR. V. N. Melnik0University of Southern Denmark , MCI, Grundtvigs Alle 150, Sonderborg, DK‐6400, DenmarkCenter manifold approximations for the 1D Landau‐Devonshire and 3D Falk‐Konopka models are applied to modelling phase transitions in shape memory alloys. The methodology, allowing a systematic improvement of mathematical models for phase transitions and hysteresis phenomena, is explained, and typical computational results with such low‐dimensional models are presented. Fizinio pernešimo ir histerinės analizės terpėse su formos atmintimi taikymai Santrauka Straipsnyje centriniu daugdaru aproksimacija vienmačiams Landau‐Devonskine ir trimačiams Falk‐Konopka modeliams pritaikyta faziniams pernešimams terpese su formos atmintimi. Metodologija leidžia sistemingai tikslinti foninio pernešimo reiškinio modelius. Pateikti tipiniai modeliavimo rezultatai mažos dimensijos modeliams. First Published online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9918- |
| spellingShingle | R. V. N. Melnik Phase transition and hysteresis analysis for shape memory alloys applications Mathematical Modelling and Analysis - |
| title | Phase transition and hysteresis analysis for shape memory alloys applications |
| title_full | Phase transition and hysteresis analysis for shape memory alloys applications |
| title_fullStr | Phase transition and hysteresis analysis for shape memory alloys applications |
| title_full_unstemmed | Phase transition and hysteresis analysis for shape memory alloys applications |
| title_short | Phase transition and hysteresis analysis for shape memory alloys applications |
| title_sort | phase transition and hysteresis analysis for shape memory alloys applications |
| topic | - |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9918 |
| work_keys_str_mv | AT rvnmelnik phasetransitionandhysteresisanalysisforshapememoryalloysapplications |