Misfit stresses in a composite core-shell nanowire with an eccentric parallelepipedal core subjected to one-dimensional cross dilatation eigenstrain

18th Russian Youth Conference on Physics of Semiconductors and Nanostructures, Opto- and Nanoelectronics

Krasnitckii, S.A.^1,2 ; Kolomoetc, D.R.^1 ; Smirnov, A.M.^2 ; Gutkin, M.Yu.^1,3

Peter the Great St. Petersburg Polytechnic University, Polytekhnicheskaya 29, St. Petersburg

195251, Russia^1

ITMO University, Kronverkskii pr. 49, St. Petersburg

197101, Russia^2

Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, Bolshoi 61, Vasil. Ostrov, St. Petersburg

199178, Russia^3

关键词: Classical theory;    Composite core;    Core-shell nanowires;    Eigen-strain;    Misfit stress;    Practical use;    Rectangular cross-sections;    Theoretical modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/816/1/012029/pdf
DOI  :  10.1088/1742-6596/816/1/012029

来源: IOP

【 摘 要 】

We present an analytical solution to the boundary-value problem in the classical theory of elasticity for a core-shell nanowire with an eccentric parallelepipedal core of an arbitrary rectangular cross section. The core is subjected to one-dimensional cross dilatation eigenstrain. The misfit stresses are found in a concise and transparent closed form which is convenient for practical use in theoretical modeling of misfit relaxation processes.