[1] Deeg W E F.The analysis of dislocation,crack and inclusion problems in piezoelectric solids[D].Ph D thesis,Stanford University,1980. [2] Pak Y E.Crack extension force in a piezoelectric material[J].Journal of Applied Mechanics,1990,57(4):647-653. [3] Pak Y E.Linear electro-elastic fracture Mechanics of piezoelectric materials[J].International Journal of Fracture,1992,54(1):79-100. [4] Sosa H A,Pak Y E.Three-dimensional eigenfunction analysis of a crack in a piezoelectric ceramics[J].International Journal of Solids and Structures,1990,26(1):1-15. [5] Sosa H A.Plane problems in piezoelectric media with defects[J].International Journal of Solids and Structures,1991,28(4):491-505. [6] Sosa H A.On the fracture mechanics of piezoelectric solids[J].International Journal of Solids and Structures,1992,29(8):2613-2622. [7] Suo Z,Kuo C M,Barnett D M,et al.Fracture mechanics for piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1992,40(5):739-765. [8] Park S B,Sun C T.Fracture criteria for piezoelectric ceramics[J].Journal of American Ceramics Society,1995,78(7):1475-1480. [9] Zhang T Y,Tong P.Fracture mechanics for a mode Ⅲ crack in a piezoelectric material[J].International Journal of Solids and Structures,1996,33(5):343-359. [10] Gao H,Zhang T Y,Tong P.Local and global energy rates for an elastically yielded crack in piezoelectric ceramics[J].Journal of Mechanics and Physics of Solids,1997,45(4):491-510. [11] WANG Biao.Three dimensional analysis of a flat elliptical crack in a piezoelectric materials[J].International Journal of Enginerring,1992,30(6):781-791. [12] Narita K,Shindo Y.Scattering of Love waves by a surface-breaking crack in piezoelectric layered media[J].JSME International Journal ,Series A,1998,41(1):40-52. [13] Narita K,Shindo Y.Scattering of anti-plane shear waves by a finite crack in piezoelectric laminates[J].Acta Mechanica,1999,134(1):27-43. [14] ZHOU Zhen-gong,WANG Biao,CAO Mao-sheng.Analysis of two collinear cracks in a piezoelectric layer bonded to dissimilar half spaces subjected to anti-plane shear[J].European Journal of Mechanics A/Solids,2001,20(2):213-226. [15] YU Shou-wen,CHEN Zeng-tiao.Transient response of a cracked infinite piezoelectric strip under anti-plane impact[J].Fatigue and Engineering Materials and Structures,1998,21(4):1381-1388. [16] CHEN Zeng-tiao,Karihaloo B L.Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact[J].International Journal of Solids and Structures,1999,36(5):5125-5133. [17] Paul H S,Nelson V K.Axisymmetric vibration of piezo-composite hollow circular cylinder[J].Acta Mechanica,1996,116(5):213-222. [18] Khutoryansky N M,Sosa H.Dynamic representation formulas and fundamental solutions for piezoelectricity[J].International Journal of Solids and Structures,1995,32(8):3307-3325. [19] Shindo Y,Katsura H,Yan W.Dynamic stress intensity factor of a cracked dielectric medium in a uniform electric field[J].Acta Mechanica,1996,117(1):1-10. [20] Narita K,Shindo Y,Watanabe K.Anti-plane shear crack in a piezoelectric layered to dissimilar half spaces[J].JSME International Journal,Series A,1999,42(1):66-72. [21] Tauchert T R.Cylindrical bending of hybrid laminates under thermo-electro-mechanical loading[J].Journal of Thernal Stresses,1996,19(4):287-296. [22] Lee J S,Jiang L Z.Exact electro-elastic analysis of piezoelectric laminate via state space approach[J].International Journal of Solids and Structures,1996,33(4):977-985. [23] Tang Y Y,Noor A K,Xu K.Assessment of computational models for thermoelectroelastic multilayered plates[J].Computers and Structures,1996,61(6):915-924. [24] Batra R C,Liang X Q.The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators[J].Computer and Structures,1997,63(4):203-212. [25] Heyliger P.Exact solutions for simply supported laminated piezoelectric plates[J].ASME Journal of Applied Mechanics,1997,64(4):299-313. [26] Shindo Y,Domon W,Narita F.Dynamic bending of a symmetric piezoelectric laminated plate with a through crack[J].Theoretical and Applied Fracture Mechanics,1998,28(2):175-184. [27] Morse P M,Feshbach H.Methods of Theoretical Physics[M].Vol 1.New York:McGraw-Hill,1958,828-929. [28] Gradshteyn I S,Ryzhik I M.Table of Integral,Series and Products[M].New York:Academic Press,1980,980-997. [29] Erdelyi A.Tables of Integral Transforms[M]. Vol 1.New York: McGraw-Hill,1954,38-95. [30] Keer L M,Luong W C.Diffraction of waves and stress intensity factors in a cracked layered composite[J].Journal of the Acoustical Society of America,1974,56(5):1681-1686. [31] Amemiya A,Taguchi T.Numerical Analysis and Fortran[M].Tokyo: Maruzen,1969. [32] Itou S.Three dimensional waves propagation in a cracked elastic solid[J].ASME Journal of Applied Mechanics,1978,45(2):807-811. [33] Itou S.Three dimensional problem of a running crack[J].International Journal of Engineering Science,1979,17(7):59-71. [34] ZHOU Zheng-gong,HAN Jie-cai,DU Shan-yi.Two collinear Griffith cracks subjected to uniform tension in infinitely long strip[J].International Journal of Solids and Structures,1999,36(4):5597-5609. [35] ZHOU Zhen-gong,HAN Jie-cai,DU Shan-yi.Investigation of a Griffith crack subject to anti-plane shear by using the non-local theory[J].International Journal of Solids and Structures,1999,36(3):3891-3901. [36] ZHOU Zhen-gong,WANG Biao.Investigation of a Griffith crack subjected to unif orm tension using the non-local theory by a new method[J].Applied Mathematics and Mechanics(English Edition),1999,20(10):1099-1107. |