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 centrinių daugdarų aproksimacija vienmačiams Landau‐Devonskine ir trimačiams Falk‐Konopka modeliams pritaikyta faziniams pernešimams terpėse su formos atmintimi. Metodologija leidžia sistemingai tikslinti foninio pernešimo reiškinio modelius. Pateikti tipiniai modeliavimo rezultatai mažos dimensijos modeliams.
Melnik, R. V. N. (2001). Phase transition and hysteresis analysis for shape memory alloys applications. Mathematical Modelling and Analysis, 6(2), 300-309. https://doi.org/10.3846/13926292.2001.9637169
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
