참고문헌
- Chen, J., Liu, Z.X. and Zou, Z.Z. (2003), ' Electromechanical impact of a crack in a functionally graded piezoelectric medium ', Theor. Appl. Fract. Mech., 39, 47-60 https://doi.org/10.1016/S0167-8442(02)00137-4
- Chen, W.Q. and Shioya, T. (1999),' Fundamental solution for a penny-shaped crack in a piezoelectric medium ', J. Mech. Phys. Solids, 47, 1459-1475 https://doi.org/10.1016/S0022-5096(98)00114-8
- Chen, W.Q. and Shioya, T. (2000), ' Complete and exact solutions of a penny-shaped crack in a piezoelectric solid: Antisymmetric shear loadings ', Int. J .Solids Struct., 37, 2603-2619 https://doi.org/10.1016/S0020-7683(99)00113-4
- Chen, W.Q., Shioya, T. and Ding, H.J. (2000), ' Penny-shaped crack in piezoelectrics: Resolved ', Int. J. Fract., 105,49-56 https://doi.org/10.1023/A:1007656411540
- Chen, Z.T. and Karihaloo, B.H. (1999), ' Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact ', Int. J. Solids Struct., 36, 5125-5133 https://doi.org/10.1016/S0020-7683(98)00243-1
- Chen, Z.T. and Yu, S.W. (1999), ' Transient response of a piezoelectric ceramic with two coplanar cracks under electromechanical impact ', Acta Mech. Sinica, 15, 325-333 https://doi.org/10.1007/BF02487930
- Dascalu, C. and Maugin, G. (1995), ' On the dynamic fracture of piezoelectric materials ', Q. J. Mech. Appl.Math., 48, 237-255 https://doi.org/10.1093/qjmam/48.2.237
- Deeg, W.F. (1980), ' The analysis of dislocation, crack, and inclusion problems in piezoelectric solids' , Ph.D. Thesis, Stanford University, USA
- Eriksson, K. (2002), ' Energy release rates for the penny-shaped crack in a linear piezoelectric solid ', Int. J.Fract., 116, L23-L28 https://doi.org/10.1023/A:1022690513876
- Feng, W.J., Su, R.K.L. and Zou, Z.Z. (2004), ' Dynamic response of multiple coplanar interface cracks between two dissimilar piezoelectric materials ', Key Engn. Mater., 261-263, 477-482 https://doi.org/10.4028/www.scientific.net/KEM.261-263.477
- Gu, B., Yu, S.W and Feng, X.Q. (2002a),' Transient response of an insulating crack between piezoelectric layers under mechanical and electrical impacts ', Arch. Appl. Mech., 72, 615-629 https://doi.org/10.1007/s00419-002-0239-4
- Gu, B., Yu, S.W and Feng, X.Q. (2002b),' Transient response of an interface crack between piezoelectric layers under mechanical impacts ', Int. J. Solids Struct., 39, 1743-1756 https://doi.org/10.1016/S0020-7683(02)00013-6
- lng, Y.S. and Wang, M.J. (2004), ' Transient analysis of a mode-III crack propagating in a piezoelectric medium ', Int. J. Solids Struct., 41, 6197-6214 https://doi.org/10.1016/j.ijsolstr.2004.05.019
- Karapetian, E., Sevotianov, I. and Kachanov, M. (2000), ' Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading ', Arch. Appl. Mech., 70,201-229 https://doi.org/10.1007/s004199900060
- Kogan, L., Hui, C.Y. and Molkov, V. (1996), ' Stress and induction field of a spherical inclusion or a pennyshaped crack in a transversely isotropic piezoelectric material ', Int. J. Solids Struct., 33,2719-2737 https://doi.org/10.1016/0020-7683(95)00182-4
- Kwon, S.M. and Lee, K.Y. (2000), ' Transient response of a rectangular medium with a center crack ', Eur. J.Mech. A/Solids, 20, 457-468 https://doi.org/10.1016/S0997-7538(01)01137-8
- Li, S.F. and Mataga, P.A (1996a), ' Dynamic crack propagation in piezoelectric materials - Part 1: Electrode solution ', J. Mech. Phys. Solids, 44, 1799-1830 https://doi.org/10.1016/0022-5096(96)00055-5
- Li, S.F. and Mataga, P.A (1996b), ' Dynamic crack propagation in piezoelectric materials - Part 2: Vacuum solution ', J. Mech. Phys. Solids, 44, 1831-1866 https://doi.org/10.1016/0022-5096(96)00056-7
- Li, X.F. (2001), ' Transient response of a piezoelectric material with a semi-infinite mode-III crack under impact loads ', Int.J. Fract., 111, 119-130 https://doi.org/10.1023/A:1012208524059
- Li, X.F. and Fan, T.Y. (2002), ' Transient analysis of a piezoelectric strip with a permeable crack under anti-plane impact loads ', Int. J. Eng. Sci., 40, 131-143 https://doi.org/10.1016/S0020-7225(01)00039-8
- Li, X.F. and Lee, K.Y. (2004), ' Effects of electric field on crack growth for a penny-shaped dielectric crack in a piezoelectric layer ', J. Mech. Phys. Solids., 52, 2079-2100 https://doi.org/10.1016/j.jmps.2004.02.012
- Lin, S., Narita, F. and Shindo, Y. (2003), ' Electroelastic analysis of a penny-shaped crack in a piezoelectric ceramic under mode-l loading ', Mech. Res. Commu., 30, 371-386 https://doi.org/10.1016/S0093-6413(03)00031-4
- Miller, M.K. and Guy, W.T. (1966), ' Numerical inversion of the Laplace transform by use of Jacobi polynomials ', SIAM J. Numer. Anal., 3, 624-635 https://doi.org/10.1137/0703055
- Parton, V.Z. (1976), ' Fracture mechanics of piezoelectric materials ', Acta Astro., 3, 671-683 https://doi.org/10.1016/0094-5765(76)90105-3
- Wang, B.L., Han, J.C. and Du, S.Y. (2000),' Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing ', Int. J. Solids Struct., 37, 5219-5231 https://doi.org/10.1016/S0020-7683(99)00218-8
- Wang, B.L., Noda, N., Han, J.c. and Du, S'y' (2001),' A penny-shaped crack in a transversely isotropic piezoelectric layer ', Eur. J. Mech. A/Solids, 20, 997-1005 https://doi.org/10.1016/S0997-7538(01)01164-0
- Wang, X.Y. and Yu, S.W (2000), 'Transient response of a crack in piezoelectric strip subjected to mechanical and impacts: mode-III problem ', Int. J. Solids Struct., 37, 5795-5808 https://doi.org/10.1016/S0020-7683(99)00268-1
- Wang, X.Y. and Yu, S.W .(2001),' Transient response of a crack in piezoelectric strip subjected to mechanical and impacts: mode-l problem ', Mech. Mater., 33, 11-20 https://doi.org/10.1016/S0167-6636(00)00023-5
- Yang, F.Q. (2004),' General solutions of a penny-shaped crack in a piezoelectric material under opening mode-l loading ', Quart. J. Mech. Appl. Math., 57, 529-550 https://doi.org/10.1093/qjmam/57.4.529
- Yang, J.H. and Lee, K.Y. (2003a),' Penny-shaped crack in a piezoelectric cylinder under electromechanical loads ', Arch. Appl. Mech., 73, 323-336 https://doi.org/10.1007/s00419-002-00245-6
- Yang, J.B. and Lee, K.Y. (2003b), ' Penny-shaped crack in a piezoelectric cylinder surrounded by an elastic medium subjected to combined in-plane mechanical and electrical loads ', Int. J. Solids Struct., 40, 573-590 https://doi.org/10.1016/S0020-7683(02)00620-0
피인용 문헌
- A penny-shaped interfacial crack between piezoelectric layer and elastic half-space vol.52, pp.1, 2014, https://doi.org/10.12989/sem.2014.52.1.001
- Three dimensional axisymmetric problems in piezoelectric media: Revisited by a real fundamental solutions based new method vol.36, pp.12, 2012, https://doi.org/10.1016/j.apm.2012.01.054
- Transient electromechanical cracking of finite piezoelectric bodies vol.24, pp.9, 2013, https://doi.org/10.1177/1045389X13476152
- A penny-shaped interface crack between a functionally graded piezoelectric layer and a homogeneous piezoelectric layer vol.44, pp.4, 2009, https://doi.org/10.1007/s11012-008-9177-8