Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circularly Layered Inclusion With Imperfect Interfaces

FANG Qi-hong; FENG Hui; LIU You-wen

doi:10.3879/j.issn.1000-0887.2013.01.006

Volume 34 Issue 1

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FANG Qi-hong, FENG Hui, LIU You-wen. Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circularly Layered Inclusion With Imperfect Interfaces[J]. Applied Mathematics and Mechanics, 2013, 34(1): 49-62. doi: 10.3879/j.issn.1000-0887.2013.01.006

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Electroelastic Interaction Between a Piezoelectric Screw Dislocation and a Circularly Layered Inclusion With Imperfect Interfaces

doi: 10.3879/j.issn.1000-0887.2013.01.006

¹State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University, Changsha 410082, P.R.China;²College of Mechanical and Vehicle Engineering, Hunan University,Changsha 410082, P.R.China

Received Date: 2011-11-17
Rev Recd Date: 2012-09-16
Publish Date: 2013-01-15

Abstract

Abstract

The interaction between a piezoelectric screw dislocation and an interphase layer in piezoelectric solids was theoretically investigated. Here, the dislocation located at arbitrary points inside either the matrix or the inclusion, and the interfaces of the interphase layer were imperfect. By complex variable method, the explicit solutions of complex potentials were given and electroelastic fields could be derived from them. The image force acting on the dislocation could be obtained by the generalized PeachKoehler formula. The motion of the piezoelectric screw dislocation and its equilibrium positions were discussed for variable parameters. The important results show that, if the inner interface of interphase layer is imperfect and the magnitude of degree of interface imperfection reaches the certain value, two equilibrium positions of the piezoelectric screw dislocation in the matrix near the interface are found for certain material combination which has never been observed in previous studies (without considering the interface imperfection).
- composite materials,
- dislocations,
- piezoelectricity,
- mechanical properties

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References(27)

References

[1]	Deng W F. The analysis of dislocation, crack, and inclusion problems in piezoelectric solids[D]. Ph D Dissertation. Stanford University, 1980.
[2]	Pak Y E. Force on a piezoelectric screw dislocation[J].Journal of Applied Mechanics, 1990, 57(4): 863-869.
[3]	Xiao Z M, Yan J, Chen B J. Electroelastic analysis for a Griffith crack interacting with a coated inclusion in piezoelectric solid[J].International Journal of Engineering Science, 2005, 43(8/9): 639-654.
[4]	Kattis M A, Providas E, Kalamkarov A L. Two-phase potentials in the analysis of smart composites having piezoelectrical components[J].Composites Part B, 1998, 29(1): 9-14.
[5]	Lu P, Williams F W. Green functions of piezoelectric material with an elliptic hole or inclusion[J].International Journal of Solids and Structures, 1998, 35(7/8): 651-664.
[6]	Meguid S A, Deng W. Electro-elastic interaction between a screw dislocation and an elliptical inhomogeneity in piezoelectric materials[J]. International Journal of Solids and Structures, 1998, 35(13): 1467-1482.
[7]	Huang Z, Kuang Z B. Dislocation inside a piezoelectric media with an elliptic inhomogeneity[J].International Journal of Solids and Structures, 2001, 38(46/47): 8459-8479.
[8]	Shen M H, Chen S N, Chen F M. A piezoelectric screw dislocation interacting with a nonuniformly coated circular inclusion[J].International Journal of Engineering Science, 2006, 44(1/2): 1-13.
[9]	Liu Y W, Fang Q H, Jiang C P. Analysis of a piezoelectric screw dislocation in the interphase layer between a circular inclusion and an unbounded matrix[J].Materials Chemistry and Physics, 2006, 98(1): 14-26.
[10]	Shen M H. A magnetoelectric screw dislocation interacting with a circular layered inclusion[J].European Journal of Mechanics A/Solids, 2008, 27(3): 429-442.
[11]	Benveniste Y, Miloh T. The effective conductivity of composites with imperfect thermal contact at constituent interfaces[J].International Journal of Engineering Science, 1986, 24(9): 1537-1552.
[12]	Hashin Z. Thin interphase/imperfect interface in conduction[J].Journal of Applied Physiology, 2001, 89(4): 2262-2268.
[13]	Shen H, Schiavone P, Ru C Q, Mioduchowski A. Analysis of internal stress in an elliptic inclusion with imperfect interface in plane elasticity[J].Mathematics and Mechanics of Solids, 2000, 5(4): 501-521.
[14]	Studak L J. Interaction between a screw dislocation and a threephase circular inhomogeneity with imperfect interface[J].Mathematics and Mechanics of Solids, 2003, 8(2): 171-188.
[15]	Fan H, Sze K Y. A micomechanics model for imperfect interface in dielectric materials[J].Mechanics of Materials, 2001, 33(6): 363-370.
[16]	Chen W Q, Lee K Y. Exact solution of angle-ply piezoelectric laminates in cylindrical bending with interfacial imperfections[J].Composite Structures, 2004, 65(3/4): 329-337.
[17]	Li Y D, Lee K Y. Crack tip shielding and antishielding effects of the imperfect interface in a layered piezoelectric sensor[J].International Journal of Solids and Structures, 2009, 46(7/8): 1736-1742.
[18]	Li Y D, Lee K Y. The shielding effect of the imperfect interface on a mode III permeable crack in a layered piezoelectric sensor[J].Engineering Fracture Mechanics, 2009, 76(7): 876-883.
[19]	Wang X, Sudak L J. A piezoelectric screw dislocation interacting with an imperfect piezoelectric biomaterial interface[J].International Journal of Solids and Structures, 2007, 44(10): 3344-3358.
[20]	Jin B, Fang Q H. Piezoelectric screw dislocation interacting with a circular inclusion with imperfect interface[J].Archive of Applied Mechanics, 2008, 78(2): 105-116.
[21]	Luo H A, Chen Y. An edge dislocation in a threephase composite cylinder model[J].Journal of Applied Mechanics, 1991, 58(1): 75-86.
[22]	Xiao Z M, Chen B J. A screw dislocation interacting with a coated fiber[J].Mechanics of Materials, 2000, 32(8): 485-494.
[23]	Liu Y W, Fang Q H, Jiang C P. A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix[J].International Journal of Solids and Structures, 2004, 41(11/12): 3255-3274.
[24]	Feng H, Fang Q H, Liu Y W, Jin B. Image force and stability of a screw dislocation inside a coated cylindrical inhomogeneity with interface stresses[J].Acta Mechanica, 2011, 220(1/4): 315-329.
[25]	Xiao Z M, Yan J, Chen B J. Electro=elastic stress analysis for a screw dislocation interacting with a coated inclusion in piezoelectric[J].Acta Mechanica, 2004, 172(3/4): 237-249.
[26]	Muskhelishvili N L.Some Basic Problems of Mathematical Theory of Elasticity[M]. Leyden: Noordhoff, 1975.
[27]	Lee L. The image force on the screw dislocation around a crack of finite size[J].Engineering Fracture Mechanics, 1987, 27(5): 539-545.