References
- Deeg, W. F., 1980, 'The Analysis of Dislocation,Crack and Inclusion Problem in Piezoelectric Solids,' Ph. D. Thesis, Standford University, Stanford, CA,
- Erdogan, F., 1985, 'The Crack Problem for Bonded Nonhomogeneous Materials Under Antiplane Shear Loading, ' ASME, Journal of Applied. Mechanics, Vol. 52, pp. 823-828 https://doi.org/10.1115/1.3169153
- Gao. C. F. and Fan, W. X., 1999, 'A General Solution for the Plane Problem in Piezoelectirc Media with Collinear Crack,' International Journal of Engineering Science, Vol. 37, pp. 347-363 https://doi.org/10.1016/S0020-7225(98)00067-6
- Hao, T. H. and Shen, Z. Y., 1994, 'A New Electric Boundary Condition of Electric Fracture Mechanics and Its Applications,' Engineering Fracture Mechanics, Vol. 47, pp. 793-802 https://doi.org/10.1016/0013-7944(94)90059-0
- Kumar, S. and Singh, R. N., 1997, 'Influence of Applied Electric Field and Mechanical Boudary Condition on the Stress Distribution at the Crack Tip in Piezoelectric Materials,' Materials Science and Engineering, Vol. A231, pp. 1-9 https://doi.org/10.1016/S0921-5093(97)00038-5
- Kwon, J. H., Kwon, S. M., Shin, J. W. and Lee, K. Y., 2000, 'Determination of Intensity Factors in Piezoelectric Ceramic Strip with Impermeable Crack,' Transactions of KSME in Korea, A, Vol. 24, No. 6, pp. 1601-1607
- Li, C. and Weng, G. J., 2002, 'Antiplane Crack Problem in Functionally Granded Piezoelectric Materials,' ASME, Journal of Applied. Mechanics, Vol. 69, pp. 481-488 https://doi.org/10.1115/1.1467091
- Pak, Y. E., 1990, 'Crack Extension Force in a Piezoelectric Materials,' ASME, Journal of Applied. Mechanics, Vol. 57, pp. 647-653 https://doi.org/10.1115/1.2897071
- Pak, Y. E., 1992, 'Linear Electroelastic Fracture Mechanics of Piezoelectric Materials,' International Journal of Fracture, Vol. 54, pp. 79-100 https://doi.org/10.1007/BF00040857
- Parton, V. Z., 1976, 'Fracture Mechanics of Piezoelectric Materials,' Acta Astronautica, Vol. 3, pp. 671-683 https://doi.org/10.1016/0094-5765(76)90105-3
- Shindo, Y., Narita, F. and Tanaka, K., 1996, 'Electroelastic Intensificaion Near Anti-Plane Shear Crack in Orthotropic Piezoelectric Ceramic Strip,' Theoretical and Applied Fracture Mechanics, Vol. 25, pp. 65-71 https://doi.org/10.1016/0167-8442(96)00008-0
- Shindo, Y., Tanaka, K. and Narita, F., 1997, 'Singular Stress and Electric Fields of a Piezoelectric Ceramic Strip with a Finite Crack Under Longitudinal Shear,' Acta Mechanica, Vol. 120, pp. 31-45 https://doi.org/10.1007/BF01174314
- Sosa, H., 1992, 'On the Fracture Mechanics of Piezoelectric Solids,' International Journal of Solids and Structures, Vol. 29, pp. 2613-2622 https://doi.org/10.1016/0020-7683(92)90225-I
- Xu, X. -L. and Rajapakse, R. K. N. D., 1999, 'Analytical Solution for an Arbitrarily Oriented Void/Crack and Fracture of Piezoceramics,' Acta Materialia, Vol. 40, pp. 1735-1747 https://doi.org/10.1016/S1359-6454(99)00075-0
- Xu, X. -L. and Rajapakse, R. K. N. D., 2001, 'On a Plane Crack in Piezoelectric Solids,' International Journal of Solids and Structures, Vol. 38, pp. 7643-7658 https://doi.org/10.1016/S0020-7683(01)00029-4
- Zhang, T. Y. and Hack, J. E., 1992, 'Mode Ⅲ Cracks in Piezoelectric Materials,' Journal of Applied Physics, Vol. 71, pp. 5865-5870 https://doi.org/10.1063/1.350483