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两个共面矩形裂纹的边界元分析 被引量:1

Boundary Element Analysis of Two Coplanar Rectangular Cracks
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摘要 利用三维裂纹分析的边界积分方程方法,研究了三维无限弹性体中两个相等共面矩形裂纹的相互影响,将问题归结为求解三个二维的边界奇异积分方程,并用二次元方法进行了数值计算,获得了一些典型问题的Ⅰ、Ⅱ、Ⅲ型应力强度因子,所得结果可供工程实际应用。 By the boundary integral equation method of three-dimensional crack analysis, the interaction of two equal coplanar rectangular cracks in a three-dimensional infinite elastic body is investigated. The problem is reduced to solve three two-dimensional singular boundary integral equations. Numerical calculation is carried out by using the method of quadratic elements. The stress intensity factors of Mode I, Mode Ⅱ and Mode Ⅲ are obtained for some typical examples, which can be used in engineering.
机构地区 兰州大学力学系
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 1995年第4期50-54,共5页 Journal of Lanzhou University(Natural Sciences)
基金 甘肃省中青年科技基金
关键词 边界积分方程 边界元法 应力强度因子 裂纹 boundary integral equations boundary element method stress intensity factors three-dimensional problems two rectangular cracks
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参考文献3

  • 1王银邦,Int J Fracture,1993年,63卷,317页
  • 2王银邦,兰州大学学报,1993年,29卷,1期,19页
  • 3Bui H D,J Mech Phys Solids,1977年,25卷,29页

同被引文献14

  • 1秦太验,乐金朝,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. 被引量:2
  • 2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):185-191. 被引量:6
  • 32hou 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.
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  • 5Shi G C, Song Z F. Magnetic and electric poling effects associated with crack growth in BaTiO3CoFe2O4 coraposite[ J]. Theoret Appl Fracture Meeh, 2003,39( 3):209-227.
  • 6Rice J R, Sih G C. Plane problems of cracks in dissimilar media[J]. Trans ASME, Set E, J App/ Mech, 1955,32(3) : 418-423.
  • 7Chen H, Wang L M, Kaxihaloo B L. Fracture analysis for multi-material system with an interface crack[J]. Comput Meter Sci, 1998,12( 1 ) : 1-8.
  • 8Nagai M, Ikeda T, Miyazaki N. Stress intensity factor analysis of a three dimensional interface crack [J]. Engng Fracture Mech ,2007,74(16) : 2481-2497.
  • 9Noda 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.
  • 10Sun Y Z, Zhang Z, Kitipomchai 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.

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