A screw dislocation interacting with a finite crack in a piezoelectric medium

The interaction between a screw dislocation and a finite crack in an unbounded piezoelectric medium is studied in the framework of linear piezoelectric theory. A straight screw dislocation with the Burgers vector, which is normal to the isotropic basal plane, positioned around the tip of a finite crack is considered. In addition to having a discontinuous electric potential across the slip plane, the dislocation is assumed to be subjected to a line force and a line charge at the core. The explicit solution is derived by means of complex variable and conformal mapping methods. All field variables such as stress, strain, electric field, electric displacement near the crack tip, and the forces on a screw dislocation, the field intensity factors, and the energy release rate are determined under the combined out-of-plane mechanical and in-plane electrical loads. Also, the effects of screw dislocation and electrical loads are numerically analyzed.

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A Piezoelectric Screw Dislocation Interacting with a Dielectric Crack in a Hexagonal Piezoelectric Material

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.9.183 ◽

2005 ◽

Vol 9 ◽

pp. 183-190

Author(s):

Jin Xi Liu ◽

X.L. Liu

Keyword(s):

Electric Field ◽

Screw Dislocation ◽

Electric Displacement ◽

Image Force ◽

Mapping Method ◽

Piezoelectric Medium ◽

Intensity Factors ◽

Potential Jump ◽

Piezoelectric Screw Dislocation ◽

Dielectric Crack

This paper is concerned with the interaction of a piezoelectric screw dislocation with a semi-infinite dielectric crack in a piezoelectric medium with hexagonal symmetry. The solution of the considered problem is obtained from the dislocation solution of a piezoelectric half-plane adjoining a gas medium of dielectric constant ε0 by using the conformal mapping method. The intensity factors of stress, electric displacement and electric field and the image force on the dislocation are given explicitly. The effect of electric boundary conditions on the dislocation-crack interaction is analyzed and discussed in detail. The results show that ε0 only influences the electric displacement and electric field intensity factors and the image force produced by the electric potential jump.

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Interaction between a piezoelectric screw dislocation and a finite crack with surface piezoelectricity

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-015-0584-0 ◽

2015 ◽

Vol 66 (6) ◽

pp. 3679-3697 ◽

Cited By ~ 6

Author(s):

Xu Wang ◽

Yang Xu

Keyword(s):

Screw Dislocation ◽

Finite Crack ◽

Piezoelectric Screw Dislocation

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Peierls stress of a screw dislocation in a piezoelectric medium

Applied Physics Letters ◽

10.1063/1.1790030 ◽

2004 ◽

Vol 85 (12) ◽

pp. 2211-2213 ◽

Cited By ~ 5

Author(s):

Shaofan Li ◽

Anurag Gupta

Keyword(s):

Screw Dislocation ◽

Peierls Stress ◽

Piezoelectric Medium

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A moving screw dislocation near a finite crack

Journal of Physics D Applied Physics ◽

10.1088/0022-3727/26/11/022 ◽

1993 ◽

Vol 26 (11) ◽

pp. 1987-1992 ◽

Cited By ~ 1

Author(s):

Yu-Zen Tsai ◽

C T Hu ◽

Sanboh Lee

Keyword(s):

Screw Dislocation ◽

Finite Crack

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A New Defect in Polyethylene Single Crystals

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100070795 ◽

1973 ◽

Vol 31 ◽

pp. 70-71

Author(s):

E. L. Thomas ◽

S. L. Sass

Keyword(s):

Single Crystals ◽

Screw Dislocation ◽

Small Distance ◽

Dipole Model ◽

Dislocation Dipole ◽

Chain Folding ◽

Black And White ◽

Polymer Crystal ◽

Different Types

In polyethylene single crystals pairs of black and white lines spaced 700-3,000Å apart, parallel to the [100] and [010] directions, have been identified as microsector boundaries. A microsector is formed when the plane of chain folding changes over a small distance within a polymer crystal. In order for the different types of folds to accommodate at the boundary between the 2 fold domains, a staggering along the chain direction and a rotation of the chains in the plane of the boundary occurs. The black-white contrast from a microsector boundary can be explained in terms of these chain rotations. We demonstrate that microsectors can terminate within the crystal and interpret the observed terminal strain contrast in terms of a screw dislocation dipole model.

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