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| The Interaction between a Screw Dipole in Inhomogeneity/Reinforced Phase and a Confocal Blunt Crack in Elliptical Inhomogeneity |
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Abstract By using the complex variable method of Elasticity, the interaction between a screw dipole inside the Inhomogeneity/Reinforced Phase and a confocal blunt crack in elastic elliptical inhomogeneity is investigated and the closed solutions are obtained for this problem. The stress field of inhomogeneity, the image force and image torque acting on the center of screw dipole, the stress intensity factor of the blunt crack tip are obtained in the series form. Simultaneously, the influence law of the dip angle of screw dipole , the size of blunt crack and the material parameters on them are analyzed. The numerical results show that the image force, image torque and stress intensity changes periodically with the dip angle of screw dipole; the blunt crack in inhomogeneity can evidently strengthen the repulsion of hard matrix to dislocation and weaken the attraction of soft matrix to dislocation; there is an unstable equilibrium position for screw dipole when the inhomogeneity is hard and the equilibrium position will approach to the interface as the curvature of blunt crack increasing; the variation of will appear a critical value that can change the direction of stress intensity factor.
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Received: 25 March 2011
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2012, Vol. 33 
