A piezoelectric screw dislocation interacts with interfacial collinear rigid lines in piezoelectric bimaterials

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

doi:10.1016/j.ijsolstr.2006.04.023

Cited by 8 publications

(7 citation statements)

References 34 publications

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“…Assuming the materials of the upper and lower half-plane are two dissimilar isotropic media, and when Q = − p 2π c 44(2) and Q = b 2πi , Eqs. (44) and (45) coincide, respectively, with the solution of Jiang and Cheung[7] and reduced result of Xiao et al[17].…”

supporting

confidence: 75%

“…Applying a complex variable method and conformal mapping technique, Prasad et al [16] obtained the Green's functions for a point force and dislocation interacting with interfacial elliptical rigid inclusion in a bonded bimaterial system and examined the problem of an internal crack or thin rigid line interacting with the interfacial inclusion. Xiao et al [17] derived an analytical closed-form solution for a screw dislocation interacting with collinear rigid lines along the interface of two dissimilar piezoelectric media.…”

Section: Introductionmentioning

confidence: 99%

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Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites

Liu

Fang

2007

Arch Appl Mech

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Anti-plane problem for a singularity interacting with interfacial anti-cracks (rigid lines) under uniform shear stress at infinity in cylindrically anisotropic composites is investigated by utilizing a complex potential technique in this paper. After obtaining the general solution for this problem, the closed solution for the interface containing one anti-crack is presented analytically. In addition, the complex potentials for a screw dislocation dipole inside matrix are obtained by the superimposing method. Expressions of stress singularities around the anti-crack tips, image forces and torques acting on the dislocation or the center of dipole are given explicitly. The results indicate that the anisotropy properties of materials may weaken the stress singularity near the anti-crack tip for the singularity being a concentrated force but enhance the one for the singularity being a screw dislocation and change the equilibrium position of screw dislocation. The presented solutions are valid for anisotropic, orthotropic or isotropic composites and can be reduced to some new or previously known results.

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supporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites

Liu

Fang

2007

Arch Appl Mech

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“…These adaptive structures are capable of monitoring and adapting to their environments, providing a smart response to external conditions. Investigations on piezoelectric materials in the presence of defects such as dislocations, cracks, and inclusions are many [Pak 1990a;1990b;1992;Meguid and Deng 1998;Liu et al 1999;Ru and Mao 1999;Lee et al 2000;Chen et al 2002;Xiao et al 2007] due to the fact that these defects can adversely influence the performance of the piezoelectric devices. Recently He and Lim [2003] analyzed the electromechanical response of a piezoelectric fibrous composite with a viscous interface described by the linear law of rheology [Ray and Ashby 1971;Suo 1997].…”

Section: Introductionmentioning

confidence: 99%

Interaction between a screw dislocation and a piezoelectric circular inclusion with viscous interface

Wang

Pan

Roy

2008

JOMMS

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Exact closed-form solutions in terms of elementary functions are derived for the problem of a screw dislocation embedded in an unbounded piezoelectric matrix interacting with a piezoelectric circular inclusion with a linear viscous interface. By means of the complex variable method, the original boundary value problem is reduced to an inhomogeneous first-order partial differential equation whose solution can be expressed in terms of elementary functions. The time dependent electroelastic fields such as stresses, strains, electric fields, and electric displacements are then obtained. In particular the image force acting on the piezoelectric screw dislocation, due to its interaction with the circular viscous interface, is presented. Some special cases of practical importance are discussed to verify and to illustrate the obtained solution. Finally we present a specific example of a screw dislocation located in a piezoelectric PZT-5 matrix interacting with a piezoelectric BaTiO 3 fiber to graphically demonstrate the influence of the viscosity of the interface on the mobility of the screw dislocation.

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“…Fang, Liu, and Jiang [17] studied the magnetoelectroelastic interaction between a generalized screw dislocation and circular-arc interfacial rigid lines under combined remote longitudinal shear, in-plane electric and magnetic fields. 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.…”

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

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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.

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A piezoelectric screw dislocation interacts with interfacial collinear rigid lines in piezoelectric bimaterials

Cited by 8 publications

References 34 publications

Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites

Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites

Interaction between a screw dislocation and a piezoelectric circular inclusion with viscous interface

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

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