Micro-crack initiation at the tip of a semi-infinite rigid line inhomogeneity in piezoelectric solids

Xiao, Zhongmin; Zhang, H.X.; Chen, B.J.

doi:10.1016/j.ijengsci.2005.05.007

Cited by 12 publications

(5 citation statements)

References 17 publications

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“…Finally, we remark that the explicit and real form solution representing the internal uniform electroelastic field within the piezoelectric parabolic inclusion allows for further potential applications of our results. For example, the existence of voids and cracks within the piezoelectric parabolic inclusion can be examined analytically as in [19] or by resorting to the numerical solution of singular integral equations [7,20].…”

Section: Discussionmentioning

confidence: 99%

The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields

Wang

Schiavone

2021

Z Angew Math Mech

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Using the Stroh octet formalism, we obtain the electroelastic fields in an infinite homogeneous piezoelectric medium containing a parabolic Eshelby inclusion undergoing uniform eigenstrains and eigenelectric fields. We prove that the internal electroelastic field defining stresses, total strains, electric displacements, total electric fields and rigid-body rotation inside the parabolic inclusion is uniform. The internal uniform electroelastic field is expressed explicitly in terms of the reduced generalized compliances and the imposed eigenstrains and eigenelectric fields. The decaying non-uniform electroelastic field in the exterior of the parabolic inclusion is also obtained.

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Section: Discussionmentioning

confidence: 99%

The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields

Wang

Schiavone

2021

Z Angew Math Mech

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“…We have undertaken an analytical study of the interaction of a screw dislocation with a completely coated semi-infinite anticrack. When the screw dislocation is located inside the matrix, the resultant stress intensity factor, the resultant anticrack contraction force and the image force on the screw dislocation are given in Equations (12), (13) and (15). In the case when the screw dislocation is located inside the coating, the resultant stress intensity factor and the image force on the screw dislocation are obtained in Equations (26) and (28).…”

Section: Discussionmentioning

confidence: 99%

“…The study of rigid line inclusions or anticracks as first described by Dundurs and Markenscoff [1] is an important and classical topic in micromechanics (see, for example, [2][3][4][5][6][7][8][9][10][11][12][13]). On the other hand, an intermediate coating layer is often added between an inclusion and its surrounding matrix in order to improve bonding and to reduce material mismatch induced stress concentration at the interface (see [14] and the references cited therein).…”

Section: Introductionmentioning

confidence: 99%

Interaction between a screw dislocation and a completely coated semi‐infinite anticrack

Wang

Schiavone

2020

Z Angew Math Mech

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We use complex variable methods to derive analytic solutions to the problem associated with the interaction between a screw dislocation and a completely coated semiinfinite anticrack. The two sides of the anticrack or rigid line inclusion are perfectly bonded to the surrounding coating, which is also perfectly bonded to its neighboring matrix. The screw dislocation can be located anywhere in the composite structure. We obtain explicit expressions for the resultant stress intensity factor characterizing the square root singularity in the stress distribution at the anticrack tip, the resultant anticrack contraction force, which is always negative, and the image force acting on the screw dislocation. K E Y W O R D Santicrack contraction force, anticrack, coating, image force, screw dislocation, stress intensity factor

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“…Lee et al [3] investigated the interaction between a piezoelectric screw dislocation and an electrically impermeable mode III crack of semi-infinite. Xiao et al [4] studied a dislocation emission mechanism for micro-crack initiation at the tip of a semi-infinite rigid line inhomogeneity in a piezoelectric solid. Wang et al [5] investigated a semi-infinite crack penetrating a piezoelectric circular inhomogeneity bonded to an infinite piezoelectric matrix through a linear viscous interface.…”

Section: Introductionmentioning

confidence: 99%

Interaction Between A Permeable Crack And Piezoelectric Screw Dislocations, Line Forces And Line Charges In A Finite Piezoelectric Cylinder

Song¹,

Gao²

2014

Journal of Theoretical and Applied Mechanics

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The problem of a piezoelectric screw dislocation, line force and line charge around a permeable crack in a finite piezoelectric cylinder is dealt with in this paper. Utilizing the complex function and conformal mapping methods, the closed form solutions of the stress fields and the electric displacement fields are derived. The stress intensity factor and the image force are discussed in detail. The results show that the stress fields are in direct proportion to the line force, but independent of the line charge. The shielding effect produced by the dislocation increases with the increasing of the radius of the piezoelectric cylinder. Moreover, the unstable equilibrium point and the image force are also severely affected by the radius of the piezoelectric cylinder.

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Micro-crack initiation at the tip of a semi-infinite rigid line inhomogeneity in piezoelectric solids

Cited by 12 publications

References 17 publications

The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields

The electroelastic fields inside and outside a piezoelectric parabolic inclusion with uniform eigenstrains and eigenelectric fields

Interaction between a screw dislocation and a completely coated semi‐infinite anticrack

Interaction Between A Permeable Crack And Piezoelectric Screw Dislocations, Line Forces And Line Charges In A Finite Piezoelectric Cylinder

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