参考文献/References:
[1] Zhang P W, Wu H P, Wang B. Time-harmonic P-waves engulfing a rectangular limited-permeable crack in piezoelectric medium: energy density and energy release [J]. Theoretical and Applied Fracture Mechanics, 2011, 59(3): 169-184.
[2] Zhao X H, Meguid S A. On the dynamic behaviour of a piezoelectric laminate with multiple interfacial collinear cracks [J]. International Journal of Solids and Structures, 2002, 39(9): 2477-2494.
[3] Liu F, Zhong X C. Transient response of two collinear dielectric cracks in a piezoelectric solid under inplane impacts [J]. Applied Mathematics and Computation, 2010, 217(8): 3779-3791.
[4] Hao T H, Shen Z Y. A new electric boundary-condition of electric fracture-mechanics and its applications [J]. Engineering Fracture Mechanics, 1994, 47(6): 793-802.
[5] Hao T H. Multiple collinear cracks in a piezoelectric material [J]. International Journal of Solids and Structures, 2001, 38(50/51): 9201-9208.
[6] Ding H J, Chen B, Liang J. General solutions for coupled equations for piezoelectric media [J]. International Journal of Solids and Structures, 1996, 33(16): 2283-2298.
[7] Yang F Q. Fracture mechanics for a Mode Ⅰ crack in piezoelectric materials [J]. International Journal of Solids and Structures, 2001, 38(21): 3813-3830.
[8] Gradshteyn I S, Ryzhik I M. Table of integral, series and products [M]. New York: Academic Press, 1980.
[9] Erdelyi A. Tables of Integral Transforms [M]. New York: McGraw-Hill, 1954.
[10] Morse P M, Feshbach H. Methods of Theoretical Physics [M]. New York: McGraw-Hill, 1958.
[11] Itou S. 3-Dimensional wave-propagation in a cracked elastic solid [J]. Journal of Applied Mechanics, ASME, 1978, 45(4): 807-811.
[12] Zhang P W, Zhou Z G, Wu L Z. Coupled field state around three parallel non-symmetric cracks in a piezoelectric/piezomagnetic material plane [J]. Archive of Applied Mechanics, 2009, 79(10): 965-979.
[13] Zhang P W, Zhou Z G, Li G. Q. Interaction of four parallel non-symmetric permeable mode-Ⅲ cracks with different lengths in a functionally graded piezoelectric material plane [J]. Zeitschrift für Angewandte Mathematik und Mechanik, 2009, 89(9): 767-788.(in Russian)
[14] Itou S. Three-dimensional dynamic stress intensity factors around two parallel square cracks in an infinite elastic medium subjected to a time-harmonic stress wave [J]. Acta Mechanica, 2000, 143(1/2): 79-90.
[15] Itou S. 3D dynamic stress intensity factors at three rectangular cracks in an infinite elastic medium subjected to a time-harmonic stress wave [J]. Archive of Applied Mechanics, 1999, 69(4): 286-298.
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