title: Application of the Nelder—Mead method to optimize the selecting of the Likhachev—Volkov model constants
metadata.name: dc.contributor.author
metadata.value: Ivanov, Aleksei M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Belyaev, Fedor S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Volkov, Aleksandr E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Belyaev, Sergey P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Resnina, Natalia N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-12-27T16:20:26Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-12-27T16:20:26Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ivanov A. M., Belyaev F. S., Volkov A.E., Belyaev S.P., Resnina N.N. Application of the Nelder—Mead method to optimize the selecting of the Likhachev—Volkov model constants. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 4, pp. 693–704. https://doi.org/10.21638/spbu01.2022.411 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.411
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38726
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A new method was proposed for selecting constants of the modified Likhachev—Volkov
  microstructural model to describe the reversible strain variation during isothermal martensitic
  transformation in Ti49Ni51 alloy. The experimental data were approximated by solving
  the optimization problem using the Nelder—Mead method. A set of model parameters was
  found that provided the best approximation. Using the selected constants set, model qualitatively
  and quantitatively describe the strain variation during cooling and heating of the
  model sample, as well as during isothermal holding under constant stress. The proposed
  method of selecting constants allowed performing the smallest number of numerical experiments
  without requiring additional real experiments.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (grant no. 18-19-00226-P).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: shape memory alloys
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: martensitic transformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: isothermal martensitic transformation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: microstructural model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Nelder—Mead method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Application of the Nelder—Mead method to optimize the selecting of the Likhachev—Volkov model constants
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 693-704.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38726/1/693-704.pdf
resources.format: Adobe PDF
resources.size: 756,11 kB