三角形弹性夹杂对裂纹的影响

焦贵德; 王银邦

三角形弹性夹杂对裂纹的影响

焦贵德¹,
王银邦²

1.
兰州大学力学系, 兰州 730000;
2.
中国海洋大学工程学院, 山东青岛 266071

详细信息

作者简介:
焦贵德(1971- ),男,甘肃秦安人,硕士(E-mail:gdjiao-mail@sohu.com).

中图分类号: O346.1
计量
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- HTML全文浏览量: 137
- PDF下载量: 532
- 被引次数: 0
出版历程
- 收稿日期: 2001-11-27
- 修回日期: 2003-01-10
- 刊出日期: 2003-04-15

The Effect of an Elastic Triangular Inclusion on a Crack

JIAO Gui-de¹,
WANG Yin-bang²

1.
Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
2.
College of Engineering, Ocean University of China, Qingdao, Shangdong 266071, P. R. China

摘要

摘要: 研究了三角形弹性夹杂和裂纹之间的相互影响问题。应用Chau和Wang导出的面力边值问题的边界积分方程为基本方程,用夹杂和基体交界面上的面力和位移的连续性条件为补充方程,从而得到了一组能够解决夹杂和裂纹相互影响问题的方程,最后的方程组用一种新的边界单元法求解。计算了各种不同的夹杂和基体的材料常数以及夹杂和基体之间不同距离情况下裂纹尖端的应力强度因子。文中结果对研究新型复合材料有一定的应用价值。
- 裂纹 /
- 基体 /
- 三角形夹杂 /
- 边界单元法 /
- 应力强度因子
Abstract: The interaction between an elastic triangular inclusion and a crack is investigated. The problem is formulated using the boundary integral equations for traction boundary value problems derived by Chau and Wang as basic equations. By using the continuity condition of traction and displacement on interface as supplement equations, a set of equations for solving the interaction problem between an inclusion and a crack are obtained, which are solved by using a new boundary element method.The results in terms of stress intensity factors(SIFs) are caiculated for a variety of crack-inclusion arrangements and the elastic constants of the matrix and the inclusion. The results are valuable for studying new composite materials.
- crack /
- matrix /
- triangular inclusion /
- element method /
- stress intensity factors

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参考文献(18)

[1]	Tamate O.The effect of a circular inclusion on the stresses around a line crack in a sheet under tension[J].International Journal of Fracture Mechanics,1968,4(3):257-265.
[2]	Atkinson C.The interaction between a crack and an inclusion[J].International Journal of Engineering Science,1972,10(2):127-136.
[3]	Erdogan F,Gupta G D,Ratwani M.Interaction between a circular inclusion and an arbitrarily oriented crack[J].Transactions of the ASME Journal of Applied Mechanics,1974,41(4):1007-1013.
[4]	Lam K Y,Wen C.Enhancement/shielding effects of inclusion on arbitrarily oriented located cracks[J].Engineering Fracture Mechanics,1993,46(3):443-454.
[5]	Cheeseman B A,Santare M H.The interaction of a curved crack with a circular elastic inclusion[J].International Journal of Fracture,2000,103(3):259-277.
[6]	Helsing J.Stress intensity factors for a crack in front of an inclusion[J].Engineering Fracture Mechanics,1999,64(2):245-253.
[7]	Atkinson C.Some ribbon-like inclusion problems[J].International Journal of Engineering Science,1973,11(2):243-266.
[8]	Liu X H,Erdogan F.The crack-inclusion interaction problem[J].Engineering Fracture Mechanics,1986,23(5):821-832.
[9]	Patton E M,Santare M H.The effect of rigid elliptical inclusion on a straight crack[J].International Journal of Fracture,1990,46(1):71-79.
[10]	Hu K X,Chandra A.Interactions among cracks and rigid lines near a free surface[J].International Journal of Solids and Structures,1993,30(14):1919-1937.
[11]	张明焕,汤任基.裂纹与弹性夹杂的相互影响[J].应用数学和力学,1995,16(4):289-300.
[12]	陶敏,汤任基.夹杂和裂纹的相互作用及端点相交的奇性性态分析[J].应用数学和力学,2001,22(5):483-492.
[13]	Anlas G,Santare M H.A model for matrix cracks in short fiber composites[J].International Journal of Solids and Structures,1993,30(12):1701-1713.
[14]	Hwu C,Liang Y K,Yen W J.Interactions between inclusions and various types of cracks[J].International Journal Fracture,1995,73(4):301-323.
[15]	王应德,王娟,冯春祥,等.吸波功能型非圆形截面碳化硅纤维制备与性能[A].见:毛天祥编.复合材料的现状与发展[C].合肥:中国科学技术大学出版社,2000,57-61.
[16]	沃丁柱.复合材料大全[M].北京:化学工业出版社,2000,1080-1130.
[17]	Chau K T,Wang Y B.A new boundary integral formulation for plane elastic problems involving cracks and holes[J].International Journal of Solids and Structures,1999,36(14):2041-2074.
[18]	Wang Y B,Chau K T.A new boundary element method for plane elastic problems involving cracks and holes[J].International Journal of Fracture,1997,87(1):1-20.