三维无限接合体双材料多界面裂纹的超奇异微积分方程法

徐春晖; 秦太验; 袁丽; 野田尚昭

三维无限接合体双材料多界面裂纹的超奇异微积分方程法

1.
中国农业大学理学院,北京 100083;2.九州工业大学工学部,北九州市 804_8550,日本

基金项目: 国家自然科学基金资助项目(10872213)

详细信息

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62736992;E-mail:xuchunhui_cau@163.com).

中图分类号: O346.1
计量
- 文章访问数: 3644
- HTML全文浏览量: 171
- PDF下载量: 621
- 被引次数: 0
出版历程
- 收稿日期: 2008-09-28
- 修回日期: 2009-02-06
- 刊出日期: 2009-03-15

Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

1.
College of Science, China Agricultural University, Beijing 100083, P. R. China;

摘要

摘要: 利用有限部积分的概念，导出了三维无限接合体中多个界面裂纹,在任意载荷作用下的超奇异微积分方程组．数值分析中，未知的位移间断采用基本分布函数和多项式乘积的形式来近似，其中基本分布函数是根据界面裂纹应力的振荡奇异性来选取的．作为典型算例，研究了存在两个矩形界面裂纹时，裂纹之间距离、裂纹形状及双材料弹性常数对应力强度因子的影响．计算表明，应力强度因子随裂纹间的距离的增大而减小．
- 应力强度因子 /
- 奇异积分方程 /
- 界面裂纹 /
- 有限部积分 /
- 边界元法
Abstract: Using the finite-part integral concepts, a set of hypersingular integraldifferential equations for multiple interfacial cracks in a three-dimensional infinite bimaterial subjected to arbitrary loads was derived. In the numerical analysis, unknown displacement discontinuities were approximated by the products of the fundamental density functions and power series, where the fundamental functions were chosen to express a two-dimensional interface crack exactly. As illustrative examples, the stress intensity factors for two rectangular interface cracks were calculated for various spacing, crack shape and elastic constants. It is shown that the stress intensity factors decrease with the increasing of crack spacing.
- stress intensity factor /
- singular integral equation /
- interface crack /
- finitepart integral /
- boundary element method

HTML全文

参考文献(15)

[1]	王银邦，张晋兰.两个共面矩形裂纹的边界元分析[J]. 兰州大学学报，1995,31(4):50-54.
[2]	秦太验，乐今朝，汤任基. 三维无限体中两平行平片裂纹相互干扰的超奇异积分方程解法[J]. 固体力学学报，1995,16(1):41-47.
[3]	Zhou Z G, Wang B. The behavior of two parallel symmetry permeable interface cracks in a piezoelectric layer bonded to two half piezoelectric materials planes[J].Internat J Solids and Structures,2002,39(17):4485-4500. doi: 10.1016/S0020-7683(02)00347-5
[4]	Isida M, Hirota K. Two parallel elliptical cracks in an infinite solid subjected to tension[J].Internat J Fracture,1985,27(1):31-48. doi: 10.1007/BF00017211
[5]	Shi G C, Song Z F. Magnetic and electric poling effects associated with crack growth in BaTiO3CoFe2O4 composite[J].Theoret Appl Fracture Mech,2003,39(3):209-227. doi: 10.1016/S0167-8442(03)00003-X
[6]	刘又文，方棋洪，蒋持平.压电螺位错与含界面裂纹圆形涂层夹杂的干涉[J].力学学报,2006，38(2)：185-190.
[7]	朱伯靖，秦太验. 磁电热弹耦合材料三维多裂纹超奇异积分法[J].力学学报，2008，40(1)：46-58.
[8]	Rice J R, Sih G C. Plane problems of cracks in dissimilar media[J].Trans ASME,Ser E, J Appl Mech,1965,32(3): 418-423. doi: 10.1115/1.3625816
[9]	Chen H, Wang L M, Karihaloo B L. Fracture analysis for multi-material system with an interface crack[J].Comput Meter Sci,1998,12(1):1-8. doi: 10.1016/S0927-0256(98)00014-7
[10]	Nagai M, Ikeda T, Miyazaki N. Stress intensity factor analysis of a three dimensional interface crack[J].Engng Fracture Mech,2007,74(16):2481-2497. doi: 10.1016/j.engfracmech.2006.12.027
[11]	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
[12]	Sun Y Z, Zhang Z, Kitipornchai S,et al.Analyzing the interaction between collinear interfacial cracks by an efficient boundary element free method[J].Internat J Engng Sci,2006,44(1/2):37-48. doi: 10.1016/j.ijengsci.2005.08.005
[13]	Zhou Z G, Zhang P W, Wu L Z. Two parallel limited-permeable mode-I cracks or four parallel limited-permeable mode-I cracks in the piezoelectric materials[J].Internat J Solids and Structure,2007,44(11/12): 4184-4205. doi: 10.1016/j.ijsolstr.2006.11.019
[14]	Noda N A, Xu C H. Controlling parameter of the stress intensity factors for a planar interfacial crack in three-dimensional bimaterials[J].Internat J Solids and Structures,2008,45(3/4): 1017-1031. doi: 10.1016/j.ijsolstr.2007.09.013
[15]	徐春晖，野田尚昭，高濑康.せん断荷重下における[FJF]. 种[FJ]. 接合半[FJF]. 无[FJ]. 限体中の界面き裂の力大数の解析[J].日本械学会论文集，2007,73(731)：768-774.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 3644
HTML全文浏览量: 171
PDF下载量: 621
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

三维无限接合体双材料多界面裂纹的超奇异微积分方程法

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62736992;E-mail:xuchunhui_cau@163.com).

计量

Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

计量

目录

留言板

三维无限接合体双材料多界面裂纹的超奇异微积分方程法

作者简介: 徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62736992;E-mail:xuchunhui_cau@163.com).

计量

出版历程

Analysis of Multiple Interfacial Cracks in Three Dimensional Bimaterials Using Hypersingular Integral-Differential Equation Method

计量

出版历程

目录

作者简介:
徐春晖(1971- ),女,辽宁人,副教授,博士(联系人.Tel:+86-10-62736992;E-mail:xuchunhui_cau@163.com).