Application of the Kelvin Approach for the Qualitative Estimation of Possibility of Phase Transitions in Shape Memory Alloys

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Application of the Kelvin Approach for the Qualitative Estimation of Possibility of Phase Transitions in Shape Memory Alloys. / Annin, B. D.; Ostrosablin, N. I.; Ugryumov, R. I.

In: Doklady Physics, Vol. 66, No. 1, 01.2021, p. 26-29.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{31647792e50e410abdacd09afbf5f4c4,

title = "Application of the Kelvin Approach for the Qualitative Estimation of Possibility of Phase Transitions in Shape Memory Alloys",

abstract = "It is proposed to use the concept of eigenmoduli and eigenstates from the linear theory of elasticity to estimate the possibility of phase transitions (martensitic transformations) in alloys with the shape memory effect. For alloys with cubic and hexagonal lattices, the eigenmoduli and eigenstates are given. The elastic strain energy for the cubic and hexagonal phases is written as the sum of six independent terms. It is proposed to compare the elastic strain energies in the cubic and hexagonal phases. If the deformation energy in the hexagonal phase is greater than in the cubic phase, then the alloy may tend to return to its original state with less energy. It is also possible to use the formulas of the tensors closest in Euclidean energy norm to the cubic and hexagonal tensors to compare the energies in different phases. The examples are given for some specific values of the elasticity constants.",

keywords = "cubic and hexagonal lattices, eigenmoduli and eigenstates, elastic constants, elastic strain energy, shape memory alloys",

author = "Annin, {B. D.} and Ostrosablin, {N. I.} and Ugryumov, {R. I.}",

note = "Funding Information: This work was carried out within the framework of the Basic Research Program of the Siberian Branch of the Russian Academy of Sciences, project III.23.3.1, and with partial support from the Russian Foundation for Basic Research, project 19-01-00511 A. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2021",

month = jan,

doi = "10.1134/S1028335821010018",

language = "English",

volume = "66",

pages = "26--29",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - Application of the Kelvin Approach for the Qualitative Estimation of Possibility of Phase Transitions in Shape Memory Alloys

AU - Annin, B. D.

AU - Ostrosablin, N. I.

AU - Ugryumov, R. I.

N1 - Funding Information: This work was carried out within the framework of the Basic Research Program of the Siberian Branch of the Russian Academy of Sciences, project III.23.3.1, and with partial support from the Russian Foundation for Basic Research, project 19-01-00511 A. Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - It is proposed to use the concept of eigenmoduli and eigenstates from the linear theory of elasticity to estimate the possibility of phase transitions (martensitic transformations) in alloys with the shape memory effect. For alloys with cubic and hexagonal lattices, the eigenmoduli and eigenstates are given. The elastic strain energy for the cubic and hexagonal phases is written as the sum of six independent terms. It is proposed to compare the elastic strain energies in the cubic and hexagonal phases. If the deformation energy in the hexagonal phase is greater than in the cubic phase, then the alloy may tend to return to its original state with less energy. It is also possible to use the formulas of the tensors closest in Euclidean energy norm to the cubic and hexagonal tensors to compare the energies in different phases. The examples are given for some specific values of the elasticity constants.

AB - It is proposed to use the concept of eigenmoduli and eigenstates from the linear theory of elasticity to estimate the possibility of phase transitions (martensitic transformations) in alloys with the shape memory effect. For alloys with cubic and hexagonal lattices, the eigenmoduli and eigenstates are given. The elastic strain energy for the cubic and hexagonal phases is written as the sum of six independent terms. It is proposed to compare the elastic strain energies in the cubic and hexagonal phases. If the deformation energy in the hexagonal phase is greater than in the cubic phase, then the alloy may tend to return to its original state with less energy. It is also possible to use the formulas of the tensors closest in Euclidean energy norm to the cubic and hexagonal tensors to compare the energies in different phases. The examples are given for some specific values of the elasticity constants.

KW - cubic and hexagonal lattices

KW - eigenmoduli and eigenstates

KW - elastic constants

KW - elastic strain energy

KW - shape memory alloys

UR - http://www.scopus.com/inward/record.url?scp=85102622670&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/dd74606f-f1a4-3c78-baaf-03e9bf07d20c/

U2 - 10.1134/S1028335821010018

DO - 10.1134/S1028335821010018

M3 - Article

AN - SCOPUS:85102622670

VL - 66

SP - 26

EP - 29

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 1

ER -

ID: 28134349