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力学学报  2006 

Electroelastic interaction between a piezoelectric screw dislocation and a circular coated inclusion with interfacial cracks
压电螺位错与含界面裂纹圆形涂层夹杂的干涉

Keywords: piezoelectric screw dislocation,coating layer,interfacial cracks,complex potential method,image force
压电螺型位错
,涂层夹杂,界面裂纹,复变函数方法,像力

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Abstract:

The electroelastic interaction between a piezoelectric screw dislocation and a circular coated inclusion with interfacial cracks is investigated. With the complex variable method, the general solutions of the complex potentials in the matrix, the coating layer and the inclusion regions are derived. As illustrative examples, solutions in the form of explicit series are presented in the case of one interracial crack. Based on the obtained complex potentials, the image force on the piezoelectric screw dislocation is then calculated by using the generalized Peach-Koehler formula. The equilibrium position of the dislocation is discussed in detail for various crack geometries, coating layer thicknesses and piezoelectric material property combinations. The results show that the interracial cracks have a significant perturbation effect on the motion of the piezoelectric screw dislocation near the coated circular inclusion and the trapping power of the coated inclusion with interfacial cracks is higher than that of a perfectly bonded one. The critical value of the crack length or the material constant of the coating layer may be found to Change the original direction of the image force.

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