Interaction between a Screw Dislocation and Two Unequal Interface Cracks Emanating from an Elliptical Hole in One Dimensional Hexagonal Piezoelectric Quasicrystal Bi-Material
Jiandong Pi, Yue Zhao, Lianhe Li
Abstract
Utilizing conformal transformation, a screw dislocation interacting with two unequal interface cracks emanating from an elliptical hole in a one-dimensional hexagonal piezoelectric quasicrystal bi-material was studied. The analytic expressions of the interface stresses, electric displacement and stress intensity factors were obtained. With the help of the generalization of the Peach–Koehler formula for quasicrystals, the image force acting on the dislocation due to the presence of the interface was then determined. Numerical examples are given to show the effects of the coupling elastic constants of the phonon field and phason field on the field intensity factors.
Topics & Concepts
PhasonQuasicrystalDislocationPiezoelectricityConformal mapMaterials scienceCondensed matter physicsDisplacement (psychology)Field (mathematics)Stress (linguistics)Stress fieldGeometryPhysicsComposite materialMathematicsPure mathematicsPsychologyLinguisticsThermodynamicsFinite element methodPsychotherapistPhilosophyQuasicrystal Structures and PropertiesMicrostructure and mechanical propertiesPhase-change materials and chalcogenides