位于两不同正交各向异性半平面间张开型界面裂纹的性能分析

周振功; 王彪

位于两不同正交各向异性半平面间张开型界面裂纹的性能分析

周振功,
王彪

哈尔滨工业大学复合材料研究所和光电技术中心,哈尔滨 150001

基金项目: 国家自然科学基金资助项目(10172030;50232030);黑龙江省自然科学基金资助项目(A0301)

详细信息

作者简介:
周振功(1963- ),男,河南省镇平县人,博士,教授,博导(联系人.Tel:+86-451-86412613;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

中图分类号: O346.53
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出版历程
- 收稿日期: 2003-04-15
- 修回日期: 2004-03-10
- 刊出日期: 2004-07-15

Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode

Center for Composite Materials and Electro-Optics Technology Center, Harbin Institute of Technology, Harbin 15001, P. R. China

摘要

摘要: 利用Schmidt方法分析了位于正交各向异性材料中的张开型界面裂纹问题．经富立叶变换使问题的求解转换为求解两对对偶积分方程，其中对偶积分方程的变量为裂纹面张开位移．最终获得了应力强度因子的数值解．与以前有关界面裂纹问题的解相比，没遇到数学上难以处理的应力振荡奇异性，裂纹尖端应力场的奇异性与均匀材料中裂纹尖端应力场的奇异性相同．同时当上下半平面材料相同时，可以得到其精确解．
- 界面裂纹 /
- Schmidt 方法 /
- 对偶积分方程 /
- 正交各向异性材料
Abstract: The behaviors of an interface crack between dissimilar orthotropic elastic half-planes subjected to uniform tension was reworked by use of the Schmidt method.By use of the Fourier transform,the problem can be solved with the help of two pairs of dual integral equations,of which the unknown variables are the jumps of the displacements across the crack surfaces.Numerical examples are provided for the stress intensity factors of the cracks.Contrary to the previous solution of the interface crack,it is found that the stress singularity of the present interface crack solution is of the same nature as that for the ordinary crack in homogeneous materials.When the materials from the two half planes are the same,an exact solution can be otained.
- interfacial crack /
- Schmidt method /
- dual integral equation /
- orthotropic material

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参考文献(30)

[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.

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文章访问数: 3294
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位于两不同正交各向异性半平面间张开型界面裂纹的性能分析

作者简介:
周振功(1963- ),男,河南省镇平县人,博士,教授,博导(联系人.Tel:+86-451-86412613;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

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Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode

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留言板

位于两不同正交各向异性半平面间张开型界面裂纹的性能分析

作者简介: 周振功(1963- ),男,河南省镇平县人,博士,教授,博导(联系人.Tel:+86-451-86412613;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).

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出版历程

Investigation of the Behavior of a Griffith Crack at the Interface Between Two Dissimilar Orthotropic Elastic Half-Planes for the Opening Crack Mode

计量

出版历程

目录

作者简介:
周振功(1963- ),男,河南省镇平县人,博士,教授,博导(联系人.Tel:+86-451-86412613;Fax:+86-451-86418251;E-mail:zhouzhg@hit.edu.cn).