Research output: Contribution to journal › Article › peer-review
Using eigenmoduli and eigenstates to evaluate the possibility of martensitic phase transformations. / Annin, B. D.; Ostrosablin, N. I.; Ugryumov, R. I.
In: Journal of Applied Mechanics and Technical Physics, Vol. 62, No. 5, 1, 09.2021, p. 709-716.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Using eigenmoduli and eigenstates to evaluate the possibility of martensitic phase transformations
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 code III.23.3.1) and with partial support from the Russian Foundation for Basic Research (Project code 19-01-00511 A). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
PY - 2021/9
Y1 - 2021/9
N2 - The possibility of phase transitions (martensitic transformations) in shape-memory alloys is evaluated using the concept of eigenmoduli and eigenstates from the linear theory of elasticity. For alloys with cubic and hexagonal lattices, the matrices of elastic moduli and compl are given and expressions for their eigenmoduli and eigenstates are written. For cubic and hexagonal phases, the specific strain energy is presented as the sum of six independent terms corresponding to six orthogonal eigenstates. It is shown that depending on the ratio of eigenmoduli, there are six types of materials (alloys) with cubic and hexagonal symmetry. The specific strain energies in the cubic and hexagonal phases are compared. If the strain energy is greater in the hexagonal phase than in the cubic phase, the alloy can tend to return to its original state with lower energy. In addition, the strain energies in different phases can be compared using the formulas of the tensors closest in the Euclidean energy norm to cubic and hexagonal tensors. The energies are compared for some values of elastic constants.
AB - The possibility of phase transitions (martensitic transformations) in shape-memory alloys is evaluated using the concept of eigenmoduli and eigenstates from the linear theory of elasticity. For alloys with cubic and hexagonal lattices, the matrices of elastic moduli and compl are given and expressions for their eigenmoduli and eigenstates are written. For cubic and hexagonal phases, the specific strain energy is presented as the sum of six independent terms corresponding to six orthogonal eigenstates. It is shown that depending on the ratio of eigenmoduli, there are six types of materials (alloys) with cubic and hexagonal symmetry. The specific strain energies in the cubic and hexagonal phases are compared. If the strain energy is greater in the hexagonal phase than in the cubic phase, the alloy can tend to return to its original state with lower energy. In addition, the strain energies in different phases can be compared using the formulas of the tensors closest in the Euclidean energy norm to cubic and hexagonal tensors. The energies are compared for some values of elastic constants.
KW - compliances
KW - cubic and hexagonal lattices
KW - eigenmoduli and eigenstates
KW - elastic moduli
KW - shape-memory alloys
KW - specific strain energy
UR - http://www.scopus.com/inward/record.url?scp=85122297487&partnerID=8YFLogxK
UR - https://www.elibrary.ru/item.asp?id=47556047
UR - https://www.mendeley.com/catalogue/1e3d53fd-ce32-3c15-8543-ff6a8b64f7f2/
U2 - 10.1134/S0021894421050011
DO - 10.1134/S0021894421050011
M3 - Article
AN - SCOPUS:85122297487
VL - 62
SP - 709
EP - 716
JO - Journal of Applied Mechanics and Technical Physics
JF - Journal of Applied Mechanics and Technical Physics
SN - 0021-8944
IS - 5
M1 - 1
ER -
ID: 35241252