A piezoelectric screw dislocation in a bimaterial with surface piezoelectricity. (English) Zbl 1329.74089

Summary: We study the contribution of surface piezoelectricity to the interaction between a screw dislocation and a hexagonal piezoelectric bimaterial interface. The screw dislocation suffers a finite discontinuity in the displacement and in the electric potential across the slip plane, and meanwhile is subjected to a line force and a line charge at its core. The surface piezoelectricity is incorporated by using an extended version of the continuum-based surface/interface model of Gurtin and Murdoch. An elementary solution in terms of the exponential integral is obtained. In addition, we present an explicit and concise expression of the image force acting on the piezoelectric screw dislocation. Several special cases are discussed in detail to demonstrate and validate the obtained solution. The associated problem of a piezoelectric screw dislocation interacting with a circular inclusion with surface piezoelectricity is also solved. The dislocation can be located either in the surrounding matrix or in the circular inclusion.


74F15 Electromagnetic effects in solid mechanics
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