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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2024 Volume 50, Issue 6, Pages 28–32 (Mi pjtf6633)

General approach to the calculation of elastic properties of axially symmetric quantum dots in nanowires

A. L. Kolesnikovaab, Nguyen Van Tuyenbc, M. Yu. Gutkinabd, A. E. Romanovb

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg National Research University of Information Technologies, Mechanics and Optics, St. Petersburg, Russia
c Sao Do University, Chi Linh, Hai Duong, Viet Nam
d Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

Abstract: A general approach to the calculation of elastic fields and energies of quantum dots (QDs) featuring dilatational eigenstrain and positioned along the symmetry axis of a nanowire (NW) is examined. The problem of elastic fields of an infinitely thin dilatational disk buried completely in a matrix in the form of a NW, which is represented by a straight infinitely long elastic cylinder with a constant radius, is solved for this purpose within the classical linear elasticity theory. It is demonstrated how an analytical solution for a dilatational disk may be used to calculate the elastic properties of axially symmetric QDs of various shapes in hybrid QD/NW nanostructures.

Keywords: dilatational disk, nanowire, elastic fields, accumulated strain energy, boundary-value problem of elasticity theory.

Received: 13.11.2023
Revised: 05.12.2023
Accepted: 07.12.2023

DOI: 10.61011/PJTF.2024.06.57303.19800



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