留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

垂直于双材料非完美界面Ⅱ型裂纹的断裂分析

钟献词 张克实

钟献词, 张克实. 垂直于双材料非完美界面Ⅱ型裂纹的断裂分析[J]. 应用数学和力学, 2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007
引用本文: 钟献词, 张克实. 垂直于双材料非完美界面Ⅱ型裂纹的断裂分析[J]. 应用数学和力学, 2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007
ZHONG Xian-ci, ZHANG Ke-shi. Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface[J]. Applied Mathematics and Mechanics, 2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007
Citation: ZHONG Xian-ci, ZHANG Ke-shi. Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface[J]. Applied Mathematics and Mechanics, 2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007

垂直于双材料非完美界面Ⅱ型裂纹的断裂分析

doi: 10.3879/j.issn.1000-0887.2012.03.007
基金项目: 国家自然科学基金资助项目(90815001);广西自然科学基金资助项目(2011GXNSFA018132)
详细信息
    通讯作者:

    钟献词(1973—),男,湖南人,教授,博士,硕士生导师(联系人.Tel:+86-771-3225010; E-mail: xczhong@gxu.edu.cn; zhongxianci@163.com).

  • 中图分类号: O346

Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface

  • 摘要: 研究了垂直于双材料非完美界面的Ⅱ型裂纹问题,采用线性弹簧模型模拟非完美界面.然后用Fourier积分变换方法把边值问题转化为求解具有Cauchy核的奇异积分方程,获得了裂纹两端应力强度因子的数值解.详细研究了问题的几种特例,并用数值实例分析了界面的非完美性对应力强度因子的影响.结果表明应力强度因子与界面参量有关并在完美界面和分离界面所对应的结果中变化.
  • [1] Cook T S, Erdogan F. Stresses in bonded materials with a crack perpendicular to interface[J]. International Journal of Engineering Science, 1972, 10(8): 677-697.
    [2] Rice J R. Elastic fracture mechanics concepts for interfacial cracks[J]. Journal of Applied Mechanics, 1988, 55(1): 98-103.
    [3] Li X F, Fan T Y. The asymptotic stress field for a rigid circular inclusion at the interface of two bonded dissimilar elastic half-space materials[J]. International Journal of Solids and Structures, 2001, 38(44/45): 8019-8035.
    [4] Shin K C, Liu H, Lee J J, Choi S T. Interfacial crack tip field in anisotropic/isotropic bimaterials[J]. Composite Structures, 2004, 66(1/4): 673-676.
    [5] 赵明暤, 李冬霞, 沈亚鹏. 三维横观各向同性介质界面裂纹的边界积分方程方法[J]. 应用数学和力学, 2005, 26(12):1394-1400.( ZHAO Ming-hao, LI Dong-xia, SHEN Ya-peng. Interfacial crack analysis in three-dimensional transversely isotropic bi-materials by boundary integral equation method[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(12): 1539-1546.)
    [6] Suresh S, Needleman A. Interfacial Phenomena in Composites[M]. New York: Elsevier Applied Science, 1989.
    [7] 梁文彦, 王振清, 杨增杰. Ⅲ型弹粘塑性/刚性界面裂纹的定常扩展裂尖场[J]. 应用数学和力学, 2010, 31(2): 210-217.( LIANG Wen-yan, WANG Zhen-qing, YANG Zeng-jie. Steady-state growing crack-tip field characteristics of mode III elastic-viscoplastic/rigid interface cracks[J]. Applied Mathematics and Mechanics(English Edition), 2010, 31(2): 227-235.)
    [8] Wang X, Pan E, Chung P W. Some basic problems in anisotropic bimaterials with a viscoelastic interface[J]. International Journal of Solids and Structures, 2009, 46(20): 3725-3733.
    [9] Benveniste Y, Miloh T. Imperfect soft and stiff interfaces in two-dimensional elasticity[J]. Mechanics of Materials, 2001, 33(6): 309-323.
    [10] Benveniste Y. The effective mechanical behaviour of composite materials with imperfect contact between the constituents[J]. Mechanics of Materials, 1985, 4(2): 197-208.
    [11] Chen W Q, Zhou Y Y, Lu C F, Ding H J. Bending of multiferroic laminated rectangular plates with imperfect interlaminar bonding[J]. European Journal of Mechanics A/Solids, 2009, 28(4): 720-727.
    [12] Hashin Z. Thermoelastic properties of particulate composites with imperfect interface[J]. Journal of the Mechanics and Physics of Solids, 1991, 39(6): 745-762.
    [13] Klarbring A, Movchan A B. Asymptotic modelling of adhesive joints[J]. Mechanics of Materials, 1998, 28(1/4): 137-145.
    [14] Antipov Y A, Avila-Pozos O, Kolaczkowski S T, Movchan A B. Mathematical model of delamination cracks on imperfect interfaces[J]. International Journal of Solids and Structures, 2001, 38(36/37): 6665-6697.
    [15] Zhong X C, Li X F, Lee K Y. Analysis of a mode-I crack perpendicular to an imperfect interface[J]. International Journal of Solids and Structures, 2009, 46(6): 1456-1463.
    [16] Bui V Q, Marechal E, Nguyen-Dang H. Imperfect interlaminar interfaces in laminated composites: interlaminar stresses and strain-energy release rates[J]. Composite Science and Techniques, 2000, 60(1): 131-143.
    [17] Nairn J A. Numerical implementation of imperfect interfaces[J]. Composite Material Sciences, 2007, 40(4): 525-536.
    [18] Sudak L J, Ru C Q, Schiavone P. Mioduchowski A. A circular inclusion with inhomogeneously imperfect interface in plane elasticity[J]. Journal of the Elasticity, 1999, 55(1): 19-41.
    [19] Shen H, Schiavone P, Ru C Q, Mioduchowski A. An elliptic inclusion with imperfect interface in anti-plane shear[J]. International Journal of Solids and Structures, 2000, 37(33): 4557-4575.
    [20] Fan H, Wang G F. Screw dislocation interacting with imperfect interface[J]. Mechanics of Materials, 2003, 35(EX1/EX2): 943-953.
    [21] Wang X, Pan E, Roy A K. New phenomena concerning a screw dislocation interacting with two imperfect interfaces[J]. Journal of the Mechanics and Physics of Solids, 2007, 55(10): 2717-2734.
    [22] Meguid S A, Wang X D. Wave scattering from cracks and imperfectly bonded inhomogeneities in advanced materials[J]. Mechanics of Materials, 1999, 31(3): 187-195.
    [23] Lenci S. Analysis of a crack at a weak interface[J]. International Journal of Fracture, 2001, 108(3): 275-298.
    [24] Ueda S, Biwa S, Watanabe K, Heuer R, Pecorari C. On the stiffness of spring model for closed crack[J]. International Journal of Engineering Science, 2006, 44(13/14): 874-888.
    [25] Melin S. When does a crack grow under mode-Ⅱ conditions[J]. International Journal of Fracture, 1986, 30(1): 103-114.
    [26] Bobet A.The initiation of secondary cracks in compression[J]. Engineering Fracture Mechanics, 2000, 66(2): 187-219.
    [27] 张雪霞, 崔小朝, 杨维阳, 李俊林. 正交异性双材料的Ⅱ型界面裂纹尖端场[J]. 应用数学和力学, 2009, 30(12): 1399-1414.( ZHANG Xue-xia, CUI Xiao-chao, YANG Wei-yang, LI Jun-lin. Crack-tip field on mode II interface crack of double dissimilar orthotropic composite materials[J]. Applied Mathematics and Mechanics(English Edition), 2009, 30(12): 1489-1504.)
    [28] 叶碧泉, 羿旭明, 靳胜勇, 梁芝茹. 用界面单元法分析复合材料界面力学性能[J]. 应用数学和力学, 1996, 17(4): 343-348.(YE Bi-quan, YI Xu-ming, JING Sheng-yong, LIANG Zhi-ru. Analysis of interface mechanical behavior with interface element in the composite materials[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(4): 359-364.)
    [29] 范天佑. 断裂力学基础[M]. 南京: 江苏科技出版社,1978. (FAN Tian-you. Foundation of Fracture Mechanics[M]. Nanjing: Jiangsu Sci-Tech Press, 1978. (in Chinese)).
    [30] Tada H, Paris P C, Irwin G R. The Stress Analysis of Cracks Handbook[M]. Hellertown, Pennsylvania: Del Research Corp, 1973.
    [31] Isida M. Effect of width and length on stress intensity factors of internally cracked plates under various boundary conditions[J]. International Journal of Fracture, 1971, 7(3): 301-316.
    [32] Gradshteyn I S, Ryzhik I M. Table of Integrals, Series and Products[M]. New York: Academic Press, 1980.
  • 加载中
计量
  • 文章访问数:  1541
  • HTML全文浏览量:  84
  • PDF下载量:  983
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-09-06
  • 修回日期:  2012-01-04
  • 刊出日期:  2012-03-15

目录

    /

    返回文章
    返回