Effect of interface stresses on the image force and stability of an edge dislocation inside a nanoscale cylindrical inclusion

Abstract

a b s t r a c tDislocation mobility and stability in inclusions can affect the mechanical behaviors of the composites. In this paper, the problem of an edge dislocation located within a nanoscale cylindrical inclusion incorporating interface stress is first considered. The explicit expression for the image force acting on the edge dislocation is obtained by means of a complex variable method. The influence of the interface effects and the size of the inclusion on the image force is evaluated. The results indicate that the impact of interface stress on the image force and the equilibrium positions of the edge dislocation inside the inclusion becomes remarkable when the radius of the inclusion is reduced to nanometer scale. The force acting on the edge dislocation produced by the interface stress will increase with the decrease of the radius of the inclusion and depends on the inclusion size which differs from the classical solution. The stability of the dislocation inside a nanoscale inclusion is also analyzed. The condition of the dislocation stability and the critical radius of the inclusion are revised for considering interface stresses.

Effect of cooperative grain boundary sliding and migration on emission of dislocations from a crack tip in nanocrystalline materials

“…Referring to the work in Fang et al [35][36][37], the complex potentials can be expressed as: Using the same method in the section 2, we can obtain [38]. Then, the force acting on the edge dislocation consists of three parts: the image force, the force produced by the cooperative grain boundary sliding and migration and the external force.…”

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].…”

Novel near-cloaking multicoated structures for screw dislocations

“…In particular, the elastic interaction of dislocations with inclusions is a classical topic that has attracted intensive interest from researchers (e.g. Dundurs, 1969;Srolovitz et al, 1984;Luo and Chen, 1991;Xiao and Chen, 2000;Li and Shi, 2002;Wang and Shen, 2002;Fan and Wang, 2003;Fang et al, 2005;Liu et al, 2004Liu et al, , 2006Jin and Fang, 2008;Fang et al, 2009;Markenscoff, 2010). In all the previous studies, the mobility of the dislocations was investigated in detail for given material and geometric parameters of the composites.…”