Vol. 3, No. 4, 2008

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ISSN: 1559-3959
Interaction between a screw dislocation and a piezoelectric circular inclusion with viscous interface

Xu Wang, Ernian Pan and A. K Roy

Vol. 3 (2008), No. 4, 761–773
Abstract

Exact closed-form solutions in terms of elementary functions are derived for the problem of a screw dislocation embedded in an unbounded piezoelectric matrix interacting with a piezoelectric circular inclusion with a linear viscous interface. By means of the complex variable method, the original boundary value problem is reduced to an inhomogeneous first-order partial differential equation whose solution can be expressed in terms of elementary functions. The time dependent electroelastic fields such as stresses, strains, electric fields, and electric displacements are then obtained. In particular the image force acting on the piezoelectric screw dislocation, due to its interaction with the circular viscous interface, is presented. Some special cases of practical importance are discussed to verify and to illustrate the obtained solution. Finally we present a specific example of a screw dislocation located in a piezoelectric PZT-5 matrix interacting with a piezoelectric BaTiO3 fiber to graphically demonstrate the influence of the viscosity of the interface on the mobility of the screw dislocation.

Keywords
piezoelectricity, circular inclusion, screw dislocation, viscous interface, image force
Supplementary material

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Milestones
Received: 27 September 2007
Accepted: 3 February 2008
Published: 1 June 2008
Authors
Xu Wang
Deparment of Civil Engineering University of Akron
Akron, OH 44325-3905
United States
Department of Applied Mathematics
University of Akron
Akron, OH 44325-3905
United States
Ernian Pan
Department of Civil Engineering University of Akron
Akron, OH 44325-3905
United States
Department of Applied Mathematics
University of Akron
Akron, OH 44325-3905
United States
A. K Roy
Air Force Research Laboratory
AFRL/MLBCM, Bldg 654
2941 Hobson Way
Wright-Patterson AFB, OH 45433-7750
United States