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

双材料接合半无限体三维矩形界面裂纹应力强度因子分析

徐春晖 秦太验 野田尚昭

徐春晖, 秦太验, 野田尚昭. 双材料接合半无限体三维矩形界面裂纹应力强度因子分析[J]. 应用数学和力学, 2007, 28(6): 668-674.
引用本文: 徐春晖, 秦太验, 野田尚昭. 双材料接合半无限体三维矩形界面裂纹应力强度因子分析[J]. 应用数学和力学, 2007, 28(6): 668-674.
XU Chun-hui, QIN Tai-yan, NODA Nao-Aki. Numerical Solutions of Singular Integral Equations for Planar Rectangular Interfacial Crack in Three Dimensional Bimaterials[J]. Applied Mathematics and Mechanics, 2007, 28(6): 668-674.
Citation: XU Chun-hui, QIN Tai-yan, NODA Nao-Aki. Numerical Solutions of Singular Integral Equations for Planar Rectangular Interfacial Crack in Three Dimensional Bimaterials[J]. Applied Mathematics and Mechanics, 2007, 28(6): 668-674.

双材料接合半无限体三维矩形界面裂纹应力强度因子分析

详细信息
    作者简介:

    徐春晖(1971- ),女,副教授,博士(Tel:+86O10O62736992;E-mail:xuchunhui-cau@163.com);秦太验(联系人.Tel:+86-10-62736992;E-mail:tyqin@cau.edu.cn).

  • 中图分类号: O346.1

Numerical Solutions of Singular Integral Equations for Planar Rectangular Interfacial Crack in Three Dimensional Bimaterials

  • 摘要: 基于体积力法,研究了双材料接合半无限体三维矩形界面裂纹的应力强度因子问题.在数值计算中,未知的体积力密度采用基本密度函数和多项式乘积的形式来近似,其中基本密度函数是根据界面裂纹应力的振荡奇异性来选取的.计算结果表明,基于本算法得到的数值结果其收敛精度和计算误差都是令人满意的.算例中,给出了应力强度因子随矩形形状及双材料参数的变化规律.
  • [1] Salganik R L.The brittle fracture of cemented bodies[J].Prikl Mat Mekh,1963,27:957-962.
    [2] Erdogan F.Stresses distribution in a non-homogeneous elastic plane with crack[J].J Appl Mech,1963,3(2):232-236.
    [3] England F.A crack between dissimilar media[J].J Appl Mech,1965,32(3):400-402. doi: 10.1115/1.3625813
    [4] Rice J R,Sih G C.Plane problems of cracks in dissimilar media[J].J Appl Mech,1965,32(3):418-423. doi: 10.1115/1.3625816
    [5] Comninou M.The interface crack[J].J Appl Mech,1977,44(4):631-636. doi: 10.1115/1.3424148
    [6] Noda N A,Oda K.Interaction effect of stress intensity factors for any number of collinear interface cracks[J].Internat J Fracture,1997,84(2):117-128. doi: 10.1023/A:1007313200779
    [7] Willis J R.Fracture mechanics of interfacial crack[J].J Mech Phys Solids,1971,19(6):353-368. doi: 10.1016/0022-5096(71)90004-4
    [8] Tucker M O.In two-phase solids under longitudinal shear loading[J].Internat J Fracture,1974,10(3):323-336. doi: 10.1007/BF00035494
    [9] England F,Gupta G D.Bonded wedges with an interface crack under anti-plane shear loading[J].Internat J Fracture,1975,11(4):593-593.
    [10] Willis J R.The penny-shaped crack on an interface[J].J Mech Appl Math,1972,25(2):367-385. doi: 10.1093/qjmam/25.3.367
    [11] Mossakovski V I,Rybka M T.Generalization of the griffith-senddon criterion for the case of a non-homogeneous body[J].Prikl Mat Mekh,1964,28:1061-1069.
    [12] England F.Stress distribution in bonded dissimilar materials containing circular or ring-shaped cavities[J].Trans ASME, Ser E, J Appl Mech,1965,32(4):829-836. doi: 10.1115/1.3627323
    [13] Kassir M K,Bregman A M.The stress intensity factor for a penny-shaped crack between two dissimilar materials[J].Trans ASME, Ser E, J Appl Mech,1972,39(1):308-310. doi: 10.1115/1.3422648
    [14] Lowengrub M,Senddon I N.The effect of internal pressure on a penny-shaped crack at the interface of two bonded dissimilar elastic half-spaces[J].Internat J Engng Sci,1974,12(5):387-396. doi: 10.1016/0020-7225(74)90049-4
    [15] Shibuya T,Koizumi T,Iwamoto T.Stress analysis of the vicinity of an elliptical crack at the interface of two bonded half-spaces[J].JSME Internat J,1989,32:485-491.
    [16] Noda N A,Kakita M,Chen M C.Analysis of stress intensity factors of a ring-shaped interface crack[J].Internat J Solids and Structures,2003,40(24):6577-6592. doi: 10.1016/S0020-7683(03)00245-2
    [17] WANG Qing,Noda N A.Variation of stress intensity factors along the front of 3d rectangular crack by using a singular integral equation method[J].Internat J Fracture,2001,108(2):119-131. doi: 10.1023/A:1007669725341
    [18] Chen M C,Noda N A,Tang R J.Application of finite-part integrals to planar interfacial fracture problems in three dimensional bimaterials[J].J Appl Mech,1999,66(6):885-890. doi: 10.1115/1.2791793
    [19] Qin T Y,Noda N A.Stress intensity factors of rectangular crack meeting a bimateral interface[J].Internat J Solids and Structures,2003,40(10):2473-2486. doi: 10.1016/S0020-7683(03)00015-5
  • 加载中
计量
  • 文章访问数:  2794
  • HTML全文浏览量:  74
  • PDF下载量:  557
  • 被引次数: 0
出版历程
  • 收稿日期:  2006-10-20
  • 修回日期:  2007-03-12
  • 刊出日期:  2007-06-15

目录

    /

    返回文章
    返回