Effect of surface stresses on elastic behavior of a screw dislocation inside the wall of a nanotube

Abstract

Behavior of a screw dislocation inside a nanotube (NT) is considered in the context of surface elasticity. The elastic fields as well as the image force acting over the dislocation are derived and analyzed in detail. In contrast with the result of classical elasticity, the screw dislocation is shown to be repelled by free surfaces and occupy two stable equilibrium positions near them. The image force strongly depends on the NT's inner and outer radii as well as surface elastic characteristics.

Calculation of Surface Properties of Cubic and Hexagonal Crystals through Molecular Statics Simulations

“…Referring back to the concept of surface energy and surface stress, surface energy could be generalized as a deformation-dependent quantity, so it could be expanded as Taylor series in terms of surface strain, where the constant surface stress is just the first-order coefficient, while the second-order coefficient could be defined as surface stiffness tensor similar to the bulk stiffness tensor. In fact, surface stiffness could play an important role in changing the constitutive law seen in the classical elasticity theory [31][32][33][34][35][36]. Miller and Shenoy [37] investigated the size-dependent elastic properties of nano-sized structural elements, by incorporating surface stiffness.…”

Wedge disclination dipole in an embedded nanowire within the surface/interface elasticity

“…On the basis of the general concept of surface/interface stress in solids by Gibbs [54] and developed for solving the elastic problems by Gurtin and Murdoch [55,56] and Gurtin et al [57], this approach has widely been used to study the elastic fields of nanosized inclusions and inhomogeneities [58][59][60], the elastic behavior of dislocations inside [61,62] and near [63][64][65][66] embedded circular [61][62][63][64] and elliptical [65,66] nanoinhomogeneities, inside [67][68][69] and near [70,71] embedded core-shell nanowires, at the nanotube/matrix interface [72], and in free-standing nanotubes [73,74] and core-shell nanowires [75,76], and the elastic behavior of wedge disclination dipoles near an embedded circular nanoinhomogeneity [77] and in the shell of a core-shell nanowire [78].…”

Динамика проникающих дислокаций в пористых гетероэпитаксиальных пленках GaN

“…В разработ-ке этого подхода можно взять за основу результаты, полученные при развитии двух важных направлений в теории дислокаций. Первое направление -это изучение упругого взаимодействия дислокаций с внутренними порами в твердом теле [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Второе направление -это анализ динамики формирования различных дисло-кационных структур в условиях внешних воздействий в рамках двумерной ньютоновской динамики [39][40][41][42][43].…”