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A Half-Infinite Coupled Crack on an Interface of Piezoelectric Bimaterials Without Oscillation

Published online by Cambridge University Press:  05 May 2011

Xinhua Yang ,
Chuanyao Chen ,
Yuantai Hu  and
Guoqing Li
Xinhua Yang*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China State Key Laboratory of structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China
Chuanyao Chen*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China State Key Laboratory of structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China
Yuantai Hu*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China State Key Laboratory of structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China
Guoqing Li*
Affiliation:
School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China State Key Laboratory of structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China
*
* Associate Professor
** Professor
** Professor
* Associate Professor
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Abstract

Based on Stroh's formalism, analytic solutions are derived for a half-infinite coupled crack in piezoelectric bimaterials without oscillation by using analytical function technique. Four intensity factors related to the crack tip fields are obtained. It is found that these intensity factors are independent of the bimaterials constants when no oscillation occurs. Some numerical calculations about the stress tensor and the electric field ahead of the crack tip are conducted finally.

Keywords

Piezoelectric bimaterialsCoupled crackIntensity factors.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 1 , March 2003 , pp. 241 - 245
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

REFERENCES

1Pak, Y. E., “Crack Extension Force in a Piezoelectric Material,” J. Appl. Mech., 57, pp. 647–653 (1990).CrossRefGoogle Scholar
2Pak, Y. E., “Linear Electro-Elastic Fracture Mechanics of Piezoelectric Materials,” Int. J. Fracture, 54, pp. 79–100 (1992).Google Scholar
3Sosa, H. and Pak, Y. E., “Three-Dimensional Eigenfunction Analysis of a Crack in a Piezoelectric Material,” Int. J. Solids Structures, 26, pp. 1–15 (1990).Google Scholar
4Sosa, H., “Plane Problems in Piezoelectric Media with Defects,” Int. J. Solids Structures, 28, pp. 491–505 (1991).Google Scholar
5Sosa, H., “On the Fracture Mechanics of Piezoelectric Solids,” Int. J. Solids Structures, 29, pp. 2613–2622 (1992).CrossRefGoogle Scholar
6Suo, Z., Kuo, C. M., Barnett, D. M. and Willis, J. R., “Fracture Mechanics for Piezoelectric Ceramics,” J. Mech. Phys. Solids, 40, pp. 739–765 (1992).Google Scholar
7Suo, Z., “Models for Breakdown-Resistant Dielectric and Ferroelectric Ceramics,” J. Mech. Phys. Solids, 41, pp. 1155–1176 (1993).CrossRefGoogle Scholar
8Park, S. B. and Sun, C. T., “Fracture Criteria of Piezoelectric Ceramics,” J. Am. Ceram. Soc., 78, pp. 1475–1480 (1995).Google Scholar
9Park, S. B. and Sun, C. T., “Effect of Electric Field on Fracture of Piezoelectric Ceramics,” Int. J. Fracture, 70, pp. 203–216 (1995).Google Scholar
10Ting, T. C. T., “Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites,” Int. J. Solids Structures, 22, pp. 965–983 (1986).Google Scholar
11Wu, J. J., Ting, T. C. T. and Barnett, D. M., “Modern Theory of Anisotropic Elasticity and Applications,” SIAM, Proceedings on Applied Mechanics, Philadelphia, 57, pp. 3–32 (1991).Google Scholar
12Chung, M. Y. and Ting, T. C. T., “Line Force, Charge and Dislocation in Anisotropic Piezoelectric Composite Wedges and Spaces,” J. Appl. Mech., 62, pp. 423–428 (1995).CrossRefGoogle Scholar
13Chung, M. Y. and Ting, T. C. T., “Piezoelectric Solid with an Elliptic Inclusion or Hole,” Int. J. Solids Structures, 33, pp. 3343–3361 (1996).CrossRefGoogle Scholar
14Ting, T. C. T., Anisotropic Elasticity: Theory and Applications, Oxford University Press, Oxford, UK (1996).CrossRefGoogle Scholar
15Gao, H., Zhang, T. Y. and Tong, P., “Local and Global Energy Release Rates for an Electrically Yielded Crack in a Piezoelectric Ceramic,” J. Mech. Phys. Solids, 45, pp. 491–510 (1997).CrossRefGoogle Scholar
16Ru, C. Q., “Effect of Electrical Polarization Saturation on Stress Intensity Factors in a Piezoelectric Ceramic,” Int. J. Solids Structures, 36, pp. 869–883 (1999).Google Scholar
17Wang, Z.“Analysis of Strip Electric Saturation Model of Crack Problem in Piezoelectric Materials,” Acta Mechanica Sinica, 31, pp. 311–319, in Chinese (1999).Google Scholar
18Deng, W. and Meguid, S. A., “Analysis of Conducting Rigid Inclusion at the Interface of Two Dissimilar Piezoelectric Materials,” J. Appl. Mech., 65, pp. 76–84 (1998).Google Scholar
19Heyer, V., Schneider, G. A., Balke, H., Drescher, J. and Bahr, H. A., “A Fracture Criterion for Conducting Cracks in Homogeneously Poled Piezoelectric PZT-PIC 151 Ceramics,” Acta Mater., 46, pp. 6615–6622 (1998).Google Scholar