Elastic behavior of an edge dislocation inside the wall of a nanotube

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

“…At the same time, the positive interface modulus only slightly shifts the radial stress ( ( 2 ) (1) > rr rr σ σ ) without any oscillations. Similar non-classical oscillations were first observed in the case of an edge dislocation inside the wall of a nanotube [74]. The authors inferred that the oscillations are due to the rippling effect of the surface of the nanotube.…”

“…[78], we have noted that the physical origin of stress oscillations under negative values of the interface moduli is not well understood yet, and supposed that the negative values stimulate some additional degrees of freedom in the form of shape instability for interfaces of enhanced curvature. In terms of work [74], it was treated as surface rippling that could be attributed to interfaces as well.…”

“…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].…”

Non-free gas of dipoles of non-singular screw dislocations and the shear modulus near the melting

“…The physics of nanotubes, nanowires and graphene sheets is of importance as far as development of modern technologies is concerned [1][2][3]. Dislocations as imperfections of the crystalline ordering have attracted appreciable attention from the viewpoint of real properties of nanostructures [4][5][6][7][8][9][10][11][12][13]. For instance, the multilayer nanotubes can contain within their walls screw dislocations lying along the tube axis [11,12].…”