Abstract
The electroelastic interaction of a piezoelectric screw dislocation with a elliptical inclusion in piezoelectric materials is considered. The electroelastic fields in both the matrix and the inclusion were given explicitly by using the perturbation concept and the method of Laurent series expansion. Furthermore, the expressions of the image force acting on a piezoelectric screw disolcation were obtained. Numerical examples are provided to reveal the effect of piezoelectricity and the relative stiffness between the inclusion and the matrix on the image force. Consequently, the new interaction mechanism is found.
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References
Pak Y E. Circular inclusion problem in antiplane piezoelectricity[J].Internat J Solids and Structures, 1992,29(19):2403–2419.
Benveniste Y. Piezoelectric inhomogeneity problems in anti-plane shear and in-plane electric fields—how to obtain the coupled fields from the uncoupled dielectric solution[J].Mech Mater, 1997,25(1):59–65.
Chen T, Chiang S C. Electroelastic fields and effective moduli of a medium containing cavities or rigid inclusions of arbitrary shape under anti-plane mechanical and in-plane electric fields[J].Acta Mechanica, 1997,121(1–4):79–96.
Meguid S A, Zhong Z. Electroelastic analysis of a piezoelectric elliptical inhomogeneity[J].Internat J Solids and Structures, 1997,34(26):3401–3414.
Kattis M A, Providas E, Kalamkarov A L. Two-phase potentials in the analysis of smart composites having piezoelectric components[J].Composites Part B, 1998,29(1):9–14.
Meguid S A, Deng W. Electro-elastic interaction between a screw dislocation and an elliptical inhomogeneity in piezoelectric materials[J].Internat J Solids and Structures, 1998,35(13):1467–1482.
Eshelby J D. The force on an elastic singularity[J].Phil Trans Roy Soc, 1951,A244(877):87–96.
Pak Y E. Force on a piezoelectric screw dislocation[J].J Appl Mech, 1990,57(3):863–869.
Barnett D M, Lothe J. Dislocations and line charges in anisotropic piezoelectric insulators[J].Physics and State Solids (b), 1975,67(1):105–111.
Stagni L. On the elastic field perturbation by inhomogeneities in plane elasticity[J].Z Angew Math Phys, 1982,33(3):313–325.
Dundurs J. On the interaction of a screw dislocation with inhomogeneities[A]. In: Eringen A C Ed.Recent Advance in Engineering Science[C]. New York: Gordon and Breach, 1967, 223–233.
Simth E. The interaction between dislocation and inhomogeneities[J].Internat J Engrg Sci, 1968,6(2):129–143.
Gong S G, Meguid S A. A screw dislocation interacting with elliptical inhomogeneity[J].Internat J Engrg Sci, 1994,32(8):1221–1228.
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Communicated by CHEN Da-peng
Biography: LIU Jin-xi (1961-)
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Jin-xi, L., Zhi-qing, J. & Wen-jie, F. On the electroelastic interaction of a piezoelectric screw dislocation with an elliptical inclusion in piezoelectric materials. Appl Math Mech 21, 1314–1319 (2000). https://doi.org/10.1007/BF02459254
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DOI: https://doi.org/10.1007/BF02459254