Citation: | ZHOU Zhen-gong, WANG Biao. Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode[J]. Applied Mathematics and Mechanics, 2004, 25(7): 667-676. |
[1] |
England A H. A crack between dissimilar media[J].Journal of Applied Mechanics,1965,32(3):400—402. doi: 10.1115/1.3625813
|
[2] |
Erdogan F. Stress distribution in a nonhomogeneous elastic plane with cracks[J].Journal of Applied Mechanics,1963,30(3):232—236. doi: 10.1115/1.3636517
|
[3] |
Erdogan F. Stress distribution in bonded dissimilar materials with cracks[J].Journal of Applied Mechanics,1965,32(3):403—410. doi: 10.1115/1.3625814
|
[4] |
Erdogan F, Gupta G. The analysis of multi-layered composites with a flaw[J].International Journal of Solids and Structures,1971,7(1):39—61. doi: 10.1016/0020-7683(71)90017-5
|
[5] |
Rice J R, Sih G C. Plane problems of cracks in dissimilar media[J].Journal of Applied Mechanics,1965,32(3):418—423. doi: 10.1115/1.3625816
|
[6] |
Nisitani H, Saimoto A, Noguchi H. Analysis of an interface crack based on the body force method[J].Transactions of the Japan Society of Mechanical Engineers,1993,59(1):68—73. doi: 10.1299/kikaia.59.68
|
[7] |
Lowengrub M, Sneddon I N. The stress field near a Griffith crack at the interface of two bonded dissimilar elastic half planes[J].International Journal of Engineering Science,1973,11(9):1025—1034. doi: 10.1016/0020-7225(73)90015-3
|
[8] |
Erdogan F, Wu B H. Interface crack problems in layered orthotropic materials[J].Journal of the Mechanics and Physics of Solids,1993,41(5):889—917. doi: 10.1016/0022-5096(93)90004-Y
|
[9] |
Zhang X S. A central crack at the interface between two different orthotropic media for the mode Ⅰ and mode Ⅱ[J].Engineering Fracture Mechanics,1989,33(3):327—333. doi: 10.1016/0013-7944(89)90083-0
|
[10] |
Zhang X S. A center crack at the interface between two different media for the opening mode[J].Engineering Fracture Mechanics,1986,24(2):177—185. doi: 10.1016/0013-7944(86)90050-0
|
[11] |
Itou S. Stress around an interface crack[J].Engineering Fracture Mechanics,1986,25(4):415—420. doi: 10.1016/0013-7944(86)90255-9
|
[12] |
Comninou M. The interface crack[J].Journal of Applied Mechanics,1977,44(4):631—636. doi: 10.1115/1.3424148
|
[13] |
Comninou M. Interface crack in a shear field[J].Journal of Applied Mechanics,1978,45(2):287—290. doi: 10.1115/1.3424289
|
[14] |
Gautesen A K. The interface crack in a tension field: an eigenvalue problem for the gap[J].International Journal of Fracture,1993,60(3): 349—361.
|
[15] |
Gautesen A K. The interface crack under combined loading: an eigenvalue problem for the gap[J].International Journal of Fracture,1992,55(2):261—271.
|
[16] |
Gautesen A K, Dundurs J. The interface crack under combined loading[J].Journal of Applied Mechanics,1988,55(4):580—586. doi: 10.1115/1.3125833
|
[17] |
Gautesen A K, Dundurs J. The interface crack in a tension field[J].Journal of Applied Mechanics,1987,54(1):93—98. doi: 10.1115/1.3173001
|
[18] |
Atkinson A. The interface crack with a contact zone[J].International Journal of Fracture,1982,19(2):131—138. doi: 10.1007/BF00016569
|
[19] |
Atkinson A. The interface crack with a contact zone (an analytical treatment)[J].International Journal of Fracture,1982,18(2):161—177.
|
[20] |
Achenbach J D, Keer L M, Khetan R P,et al. Loss of adhesion at the tip of an interface crack[J].Journal of Elasticity,1979,9(3):397—424. doi: 10.1007/BF00044617
|
[21] |
Morse P M, Feshbach H.Methods of Theoretical Physics[M].Vol 1.New York:McGraw-Hill,1958,890—926.
|
[22] |
Yan W F. Axisymmetric slipless indentation of an infinite elastic cylinder[J].Journal on Applied Mathematics,1967,15(2):219—227.
|
[23] |
Gradshteyn I S, Ryzhik I M.Table of Integral, Series and Products[M].New York:Academic Press,1980,980—997.
|
[24] |
Erdelyi A.Tables of Integral Transforms[M].Vol 1.New York:McGraw-Hill,1954,38—95.
|
[25] |
Itou S. Three dimensional waves propagation in a cracked elastic solid[J].Journal of Applied Mechanics,1978,45(4):807—811. doi: 10.1115/1.3424423
|
[26] |
ZHOU Zhen-gong, BAI Ya-ying, ZHANG Xian-wen. Two collinear Griffith cracks subjected to uniform tension in infinitely long strip[J].International Journal of Solids and Structures,1999,36(36):5597—5609. doi: 10.1016/S0020-7683(98)00250-9
|
[27] |
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(4):3891—3901. doi: 10.1016/S0020-7683(98)00179-6
|
[28] |
Itou S. Stress intensity factors around a crack in a non-homogeneous interface layer between two dissimilar elastic half-planes[J].International Journal of Fracture,2001,110(2):123—135. doi: 10.1023/A:1010851732746
|
[29] |
周振功,王彪.采用新方法研究加层压电材料中平行界面共线双裂纹的断裂问题[J].应用数学和力学,2003,24(1):1—11.
|
[30] |
周振功,王彪.压电材料中两平行对称可导通裂纹断裂性能分析[J].应用数学和力学,2002,23(12):1211—1219.
|