Vol. 3, No. 2, 2008

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ISSN: 1559-3959
Interaction of a dislocation with collinear rigid lines at the interface of piezoelectric media

ZhongMin Xiao, Hongxia Zhang and Bingjin Chen

Vol. 3 (2008), No. 2, 335–364
Abstract

This paper investigates the electroelastic interaction between a dislocation and collinear interfacial rigid lines in two dissimilar piezoelectric materials subjected to remote loadings. Both conducting and dielectric rigid lines are considered. The general solutions for the field variables are obtained based on the Stroh formalism and analytical function theory. The stress and electric displacement fields at the tips of rigid conducting lines are present as either a square root singularity or a combination of any two of the three kinds of singularities: square root singularity, nonsquare root singularity and oscillatory singularity. The stress and electric displacement fields at the tips of rigid dielectric lines exhibit either a square root singularity or a combination of square root and oscillatory singularities. Singularities depend on the electroelastic properties of the two piezoelectric materials. The rigid line extension force is expressed in terms of the strain and electric field intensity factors which are analogous to the stress and electric displacement intensity factors defined for interfacial cracks. The exact field solutions for the case of a single interfacial rigid line are presented. The tangential and radial components of the image force on the dislocation are calculated. Numerical examples are presented to demonstrate the effects of some important parameters on the image force.

Keywords
piezoelectric, bimaterials, dislocation, rigid lines, interface, energy release rate, image force
Milestones
Received: 8 March 2007
Accepted: 17 July 2007
Published: 1 February 2008
Authors
ZhongMin Xiao
School of Mechanical and Aerospace Engineering
Nanyang Technological University
Nanyang Avenue
Singapore 639798
Hongxia Zhang
School of Mechanical and Aerospace Engineering
Nanyang Technological University
Nanyang Avenue
Singapore 639798
Bingjin Chen
School of Mechanical and Aerospace Engineering
Nanyang Technological University
Nanyang Avenue
Singapore 639798