The interaction of a screw dislocation with an interfacial edge crack in a two-phase piezoelectric medium is investigated. Closed-form solutions of the elastic and electrical fields induced by the screw" dislocation are derived using the conformal mapping method in conjunction with the image principle. Based on the electroelastic fields derived, the stress and electric displacement intensity factors, the image force acting on the dislocation are given explicitly. We find that the stress and electric displacement intensity factors depend on the effective electroelastic material constants. In the case where one of two phases is purely elastic, the stress intensity factor and image force are plotted to illustrate the influences of electromechanica[ coupling effect, the position of the dislocation and the material properties on the interaction mechanism.
In this paper, as is studied are the electro-elustic solutions for a piezoelectric barspace subjected to a line force, a line charge and a line dislocation, i. e., Green's functions on the basis of Stroh formalism and the concept of analytical continuation, explicit expressions for Green's functions arc derived. As a direct application of the results obtained, an infinite piezoelectric solid containing a semi-infinite crack is examined. Attention iffocused on the stress and electric displacement fields of a crack tip. The stress and electric displacement intensity factors are given explicitly.
ExplicitSon&as for 2-D elec{roelastic fundamental solutions in general anisotropic piezoelecfric media subjected to a Iine.force and a line charge are obtained by using the plane wave decomposition method and a subsequent application of rhe residue calculus. uAnisotropic" means that an) material symmetry restrictions are not assumed. u TWO dimensional" includes not only in-plane problems ,but also anti-plane problems and problems in which in-plane and anti-plane deformations couple each other. As a special case, the solutions.for transvers& isotropic piezoelectric media are given.
ABSTRACT:By using Stroh' complex formalism and Cauchy's integral method, the electro-elastic fundamental solutions of an infinite anisotropic piezoelectric solid containing an elliptic hole or a crack subjected to a line force and a line charge are presented in closed form. Particular attention is paid to analyzing the characteristics of the stress and electric displacement intensity factors. When a line force-charge acts on the crack surface, the real form expression of intensity factors is obtained. It is shown through a special example that the present work is correct.
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