Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites

Abstract

Anti-plane problem for a singularity interacting with interfacial anti-cracks (rigid lines) under uniform shear stress at infinity in cylindrically anisotropic composites is investigated by utilizing a complex potential technique in this paper. After obtaining the general solution for this problem, the closed solution for the interface containing one anti-crack is presented analytically. In addition, the complex potentials for a screw dislocation dipole inside matrix are obtained by the superimposing method. Expressions of stress singularities around the anti-crack tips, image forces and torques acting on the dislocation or the center of dipole are given explicitly. The results indicate that the anisotropy properties of materials may weaken the stress singularity near the anti-crack tip for the singularity being a concentrated force but enhance the one for the singularity being a screw dislocation and change the equilibrium position of screw dislocation. The presented solutions are valid for anisotropic, orthotropic or isotropic composites and can be reduced to some new or previously known results.

The coupling interaction of a screw dislocation with a bimaterial interface and a nearby circular inclusion

“…The nature of the inclusion/matrix interface plays an important role in the study of the interaction of dislocations with an inclusion. Various interfaces have been considered, which include perfect and imperfect interface [17,18], uniform coating [19,20], nonuniform coating [21] and interfacial cracks [22]. When the inhomogeneity is small to nano-size, since the equilibrium lattice spacing in the interface is different from that in the bulk, the interface stress effect must be considered.…”

Антиплоская Деформация Цилиндрически Анизотропного Упругого Стержня

“…Некоторые результаты в этом направлении были получены Тингом в статье [2]. Одна задача о щели рассматривалась в статье [3]. Необходимо отметить, что в отмеченных рабо-тах рассматривался только цилиндрически ортотропный материал.…”