13th International Conference on Fracture June 16–21, 2013, Beijing, China -10- 11 15 2 15 44 44 11 15 11 2 e e e c c ε β β ε ε ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ − ⎢ ⎥ ⎣ ⎦ H= , 2 15 44 15 1 11 15 11 1 2 e c e e β ε ε − ⎡ ⎤ ⎢ − ⎥ ⎢ ⎥ ⎢ − ⎥ ⎣ ⎦ Λ=H = (A.4) As 1 β→ i.e. v=0, H will reduce to the static value [12]. References [1] Kuna, M., Fracture mechanics of piezoelectric materials—Where are we right now? Eng. Fract. Mech. 77 (2010) 309–326. [2] Freund, L.B.. Dynamic fracture mechanics. Cambridge: Cambridge Press, 1990. [3] Chen, Z.T., Yu, S.W., Anti-plane Yoffe crack problem in piezoelectric materials. Int. J. Fracture. 84 (1997) L41-L45. [4] Soh, A.K., Liu, J.X., Lee, K.L., Fang D.N., On a moving Griffith crack in anisotropic piezoelectric solids. Arch. Appl. Mech. 72 (2002) 458–469. [5] Li, S., Mataga, P.A., Dynamic crack propagation in piezoelectric materials-part I. Electrode solution. J. Mech. Phys. Solids. 44 (1996a) 1799–1830. [6] Li, S., Mataga, P.A., Dynamic crack propagation in piezoelectric materials-part II. Vacuum solution. J. Mech. Phys. Solids 44 (1996b) 1831–1866. [7] To, A.C., Li, S., Glaser, S.D., Propagation of a mode-III interfacial conductive crack along a conductive interface between two piezoelectric materials. Wave Motion. 43 (2006) 368–386. [8] Chen, X.H., Ma, C.C., Ing, Y.S., Tsai, C.H., Dynamic interfacial crack propagation in elastic–piezoelectric bi-materials subjected to uniformly distributed loading. Int. J. Solids. Struct. 45 (2008) 959–997. [9] Gao, H., Zhang,T.Y. , Tong,P., Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids. 45 (1997) 491–510. [10] Shen, S.P., Kuang, Z.B., Nishioka, T., Dynamic mode-III interfacial crack in ferroelectric materials. Int.J.Appl. Electrom. 11 (2000) 211–222. [11] Suo, Z., Kuo C. M., Barnett, D. M., Willis, J. R., Fracture mechanics for piezoelectric ceramics. J .Mech. Phys. Solids. 40 (1992) 739-765. [12] Wang, T.C., Analysis of strip electric saturation model of crack problem in piezoelectric materials. Int. J. Solids. Struct. 37 (2000) 6031–6049. [13] Zhang, T.Y., Gao, C.F., Fracture behaviors of piezoelectric materials. Theor. Appl. Fract. Mec. 41 (2004) 339–379.
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