A piezoelectric screw dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines

Fang, Qihong; Liu, Y.W.; Wen, P.H.

doi:10.1016/j.ijmecsci.2008.01.001

Cited by 12 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Supposing that a generalized screw dislocation is located in region

S_{1}^{+}

, the generalized analytical vector‐function

{boldf}_{1}^{'} false(ζ false)

in the upper half‐plane takes the form

{boldf}_{1}^{'} (ζ) = \frac{boldb}{2 π normali (ζ - ζ_{0})} + {boldf}_{10} (ζ), ζ \in S_{1}^{+},

where

{boldf}_{10} false(ζ false)

is holomorphic in region

S_{1}^{+}

.…”

Section: Basic Problem and Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Zeng

Liu

et al. 2019

Z Angew Math Mech

View full text Add to dashboard Cite

The interaction between generalized screw dislocation and two asymmetrical interfacial secondary cracks emanating from an elliptic blunt crack tip in magneto‐electro‐elastic solid is investigated. Utilizing the complex potential method, the closed‐form solutions for complex potentials and generalized stress fields are derived. In some limiting cases, the present solutions can reduce to the well‐known results. Moreover, many new solutions for special cases are discussed. The energy release rate at the right interfacial secondary crack tip and the image force acting on dislocation are also calculated. Numerical calculations are given for analyzing the effects of variable parameters, such as location of the dislocation, materials constants and geometrical parameters of interfacial secondary crack. The results show that the long left interfacial secondary crack or the blunt crack with the high passivation rate enhances the influence of the dislocation on the energy release rate at the right interfacial secondary crack tip. In addition, the energy release rate increases with the increment of elastic coefficient of the other half‐plane, but decreases with the increment of dielectric coefficient or magnetic permeability coefficient.

show abstract

“…Supposing that a generalized screw dislocation is located in region

S_{1}^{+}

, the generalized analytical vector‐function

{boldf}_{1}^{'} false(ζ false)

in the upper half‐plane takes the form

{boldf}_{1}^{'} (ζ) = \frac{boldb}{2 π normali (ζ - ζ_{0})} + {boldf}_{10} (ζ), ζ \in S_{1}^{+},

where

{boldf}_{10} false(ζ false)

is holomorphic in region

S_{1}^{+}

.…”

Section: Basic Problem and Solutionmentioning

confidence: 99%

“…In the -plane, 1 is the surface of interfacial crack, and ′ 1 is the remainder of the interface. Supposing that a generalized screw dislocation is located in region + 1 , the generalized analytical vector-function ′ 1 ( ) in the upper half-plane takes the form [56][57][58][59][60][61]…”

Section: Basic Problem and Solutionmentioning

confidence: 99%

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Zeng

Liu

et al. 2019

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…Fang and Li [13] considered the problem for the electro-elastic interaction between a piezoelectric moving dislocation and interfacial collinear rigid lines under combined longitudinal shear and in-plane electric field. Then Fang [14] investigated the interaction between a screw dislocation and an elliptical inclusion with interfacial rigid lines in piezoelectric solids. Wu and Du [15] discussed the elastic field and electric field of a rigid line in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium under the remote anti-plane shear and in-plane electric field, and analyzed the characteristics of the elastic field and electric field singularities at the rigid line tip.…”

Section: Introductionmentioning

confidence: 99%

A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

Jiang

Zhao

Liu

2012

Comptes Rendus. Mécanique

Self Cite

View full text Add to dashboard Cite

The interaction between a piezoelectric screw dislocation and an elliptical inhomogeneity in piezoelectric composite material which contains an electrically conductive confocal rigid line is studied, especially analyzing the shielding effect of a piezoelectric screw dislocation near an elliptical inhomogeneity. By applying the complex variable method, the analytical solution to the elastic field and the electric field, the field intensity factors at the tip of the rigid line are derived. The image force acting on the piezoelectric screw dislocation is calculated by using the generalized Peach-Koehler formula. Accordingly, the location and the orientation of the dislocation, the material properties upon the shielding or antishielding effect on the stress intensity factors, as well as the effects of the rigid line and the electroelastic properties of the piezoelectric materials on the image force are discussed.

show abstract

“…Xiao, Zhang, and Chen [18] obtained analytical solutions for the interaction between a screw dislocation and collinear rigid line inclusions along the interface of two dissimilar piezoelectric media under remote antiplane mechanical and inplane electric loads. Fang, Liu and Wen [19] investigated the interaction between a piezoelectric screw dislocation and an elliptical inclusion with interfacial conducting rigid line inclusions under antiplane shear and inplane electric loads. Dong [20] presented the integral equation formulations for two-dimensional infinite homogeneous isotropic elastic problems containing various inclusions, rigid lines and cracks.…”

Section: Introductionmentioning

confidence: 99%

Exact solution to the antiplane problem of doubly periodic conducting rigid line inclusions of unequal size in piezoelectric materials

Xiao¹,

Xu²,

Jiang³

2011

Z Angew Math Mech

View full text Add to dashboard Cite

Key words Doubly periodic array, rigid line inclusion, antiplane problem, stress and electric displacement intensity factors, effective electroelastic moduli.The problem of a doubly periodic array of conducting rigid line inclusions in piezoelectric materials under far-field antiplane mechanical load and inplane electric load is investigated, where the fundamental cell contains four rigid line inclusions of unequal size. An exact solution to the problem is presented by employing the conformal mapping technique and the elliptical function theory. The closed form formulae for the stress and electrical displacement intensity factors at the rigid line inclusion tip and the effective electroelastic moduli of such composites are derived. Many new and existing solutions can be regarded as the special or degenerated cases. Numerical examples are provided to show the interesting electroelastic interaction phenomenon induced by multiple rigid line inclusions. The present work is helpful in understanding the optimization mechanism of some naturally occurring composites and in designing novel materials by direct engineering of their microstructure.

show abstract

A piezoelectric screw dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines

Cited by 12 publications

References 18 publications

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

Exact solution to the antiplane problem of doubly periodic conducting rigid line inclusions of unequal size in piezoelectric materials

Contact Info

Product

Resources

About