najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1141Research ArticlePHYSICSФИЗИКАInfluence of shear strain on stability of 2D triangular latticePodolskayaE. A.

Junior research fellow, M. Sc. In Mechanics

Saint Petersburg

katepodolskaya@gmail.comPanchenkoA. Yu.

Assistant, Ph. D. student

Saint Petersburg

ArtemQT@yandex.ruBukovskayaK. S.

Student

Saint Petersburg

carrybuk@gmail.comInstitute for Problems in Mechanical Engineering (IPME RAS)Russian FederationSaint Petersburg State Polytechnical UniversityRussian Federation201119082025236064Copyright © Podolskaya E.A., Panchenko A.Y., Bukovskaya K.S., 20252025Podolskaya E.A., Panchenko A.Y., Bukovskaya K.S.Podolskaya E.A., Panchenko A.Y., Bukovskaya K.S.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1141

Stability of 2D triangular lattice under finite arbitrary strain is investigated. The lattice is considered infinite and consisting of particles which interact by pair force central potential. Dynamic stability criterion is used: frequency of elastic waves is required to be real for any real wave vector. Two stability regions corresponding to horizontal and vertical orientations of the lattice are obtained. It means that a structural transition, which is equal to the change of lattice orientation, is possible.

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The authors declare that there are no conflicts of interest present.