Moving dislocations in general anisotropic piezoelectric solids

Soh, Ai Kah; Liu, Jinxi; Lee, Kwok Lun; Fang, Daining

doi:10.1002/pssb.200402121

Cited by 11 publications

(7 citation statements)

References 25 publications

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“…The screw dislocation is assumed to be straight and infinitely long in the z-axis, suffering a displacement jump b = b z and an electric potential jump across the slip plane. The jump in the electric potential corresponds to the electric dipole layer along the slip plane (i.e., Soh et al, 2005). We first discuss the problem within the framework of antiplane shear deformation.…”

Section: Screw Dislocations In Piezoelectric Rodsmentioning

confidence: 99%

Screw dislocations in piezoelectric nanowires

Wang

Pan

2010

Mechanics Research Communications

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a b s t r a c tIn this article, we extend Eshelby's classic work (Eshelby, 1953) on screw dislocation in an elastic rod to the corresponding piezoelectric case. In our study the screw dislocation suffers a displacement jump and an electric potential jump across the slip plane, and the surface of the piezoelectric cylinder is traction-free and charge-free. Our results demonstrate that this extension is not trivial because under some conditions the screw dislocation cannot be ejected from the piezoelectric cylinder by applying an external torque to the cylinder and the stress-strain curve in torsion possesses a nonlinear region due to the movement of the screw dislocation. These observations are quite different than those predicted by Eshelby (1953) for the elastic rod case, and should be particularly interesting to piezoelectric nanowire structures involving Eshelby twist.

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Section: Screw Dislocations In Piezoelectric Rodsmentioning

confidence: 99%

Screw dislocations in piezoelectric nanowires

Wang

Pan

2010

Mechanics Research Communications

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“…The vector function 0 ( ) z f can be easily determined by enforcing the following condition [8] ˆd , d ,…”

Section: Original Papermentioning

confidence: 99%

“…Some errors in the paper of Wu et al [6] were found and corrected by Liu and Fang [7]. The steady-state version of the Stroh formalism for piezoelectricity was employed by Soh et al [8] to derive closed-form solutions for a moving dislocation in an anisotropic piezoelectric solid. Making use of the full dynamic equations of piezoelectromagnetism, Yang [9] analyzed a moving screw dislocation in polarized ceramics.…”

Section: Introductionmentioning

confidence: 97%

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

Wang

Pan

2007

Physica Status Solidi (b)

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Closed-form solutions in terms of exponential integrals are derived for a constantly moving screw dislocation in a piezoelectric bimaterial with an imperfect interface. The imperfect interface discussed here is mechanically compliant and dielectrically weakly (or highly) conducting. The electroelastic fields due to the moving dislocation, such as stresses, strains, electric displacements and electric fields, are obtained for this bimaterial. The solutions derived here are valid when the moving velocity of the screw dislocation is below the Bleustein -Gulyaev wave speeds of the two piezoelectric half-planes. This restriction is different from that in a perfectly bonded bimaterial where the moving velocity of the screw dislocation is below the piezoelectrically stiffened bulk shear wave speeds of the two piezoelectric half-planes. Numerical results are also presented to demonstrate the influence of the interface imperfection and the velocity of the moving dislocation on the electroelastic fields in the piezoelectric bimaterial.

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“…Yang [9] and Liu, et al [10] considered the problem of a moving dislocation in a magneto-electro-elastic solid. Soh, et al [11] presented an extensive closed-form solution for a moving dislocation in an anisotropic piezoelectric solid. All the above investigations did not consider the influence of interfacial rigid lines (anti-cracks) on moving dislocation.…”

Section: Introductionmentioning

confidence: 99%

A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media

Liu

Fang

2008

Appl. Math. Mech.-Engl. Ed.

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This paper attempts to investigate the problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar anisotropic materials. Integrating Riemann-Schwarz's symmetry principle with the analysis singularity of complex functions, we present the general elastic solutions of this problem and the closed form solutions for interfaces containing one and two rigid lines. The expressions of stress intensity factors at the rigid line tips and image force acting on moving dislocation are derived explicitly. The results show that dislocation velocity has an antishielding effect on the rigid line tip and a larger dislocation velocity leads to the equilibrium position of dislocation closing with the rigid line. The presented solutions contain previously known results as the special cases.

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Moving dislocations in general anisotropic piezoelectric solids

Cited by 11 publications

References 25 publications

Screw dislocations in piezoelectric nanowires

Screw dislocations in piezoelectric nanowires

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media

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