Applied Mathematics and Mechanics
, Volume 26, Issue 6, pp 814822
First online:
An effective boundary element method for analysis of crack problems in a plane elastic plate
 Yan XiangqiaoAffiliated withResearch Laboratory on Composite Materials, Harbin Institute of Technology Email author
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A simple and effective boundary element method for stress intensity factor calculation for crack problems in a plane elastic plate is presented. The boundary element method consists of the constant displacement discontinuity element presented by Crouch and Starfield and the cracktip displacement discontinuity elements proposed by YAN Xiangqiao. In the boundary element implementation the left or the right cracktip displacement discontinuity element was placed locally at the corresponding left or right each crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries. Test examples (i. e., a center crack in an infinite plate under tension, a circular hole and a crack in an infinite plate under tension) are included to illustrate that the numerical approach is very simple and accurate for stress intensity factor calculation of plane elasticity crack problems. In addition, specifically, the stress intensity factors of branching cracks emanating from a square hole in a rectangular plate under biaxial loads were analysed. These numerical results indicate the present numerical approach is very effective for calculating stress intensity factors of complex cracks in a 2D finite body, and are used to reveal the effect of the biaxial loads and the cracked body geometry on stress intensity factors.
Key words
stress intensity factor boundary element method displacement discontinuity cracktip elementChinese Library Classification
TB332000 Mathematics Subject Classification
74R10 74S15 Title
 An effective boundary element method for analysis of crack problems in a plane elastic plate
 Journal

Applied Mathematics and Mechanics
Volume 26, Issue 6 , pp 814822
 Cover Date
 200506
 DOI
 10.1007/BF02465433
 Print ISSN
 02534827
 Online ISSN
 15732754
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 stress intensity factor
 boundary element method
 displacement discontinuity
 cracktip element
 TB33
 74R10
 74S15
 Industry Sectors
 Authors

 Yan Xiangqiao ^{(1)}
 Author Affiliations

 1. Research Laboratory on Composite Materials, Harbin Institute of Technology, 150001, Harbin, P. R. China