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用边界元法分析工程结构中的裂纹 被引量:1

BOUNDARY ELEMENT METHOD FOR CRACK ANALYSIS IN ENGINEERING STRUCTURE
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摘要 对于工程中的裂纹问题运用二维弹性问题的控制方程和Kelvin问题的基本解,建立了Somigliana等式及边界积分方程,并利用常值元及线性元对积分方程离散,从而对裂纹区域进行力学分析.文中所给算例,与文献结果吻合较好. For the problems of cracks in engineering structures, this paper establishes Somigliana formulas and boundary integral equations by applying the control equations of two dimentional elastic problems and the basic solutions to Kelvin problems. Furthermore, using constant elements and linear elements, the paper segregates the integral equations and analyzes the mechanic properties of cracked regions. The numerical examples given in the paper are comparable to the literatures used in the paper.
出处 《郑州大学学报(自然科学版)》 CAS 1998年第4期15-20,共6页 Journal of Zhengzhou University (Natural Science)
基金 河南省自然科学基金
关键词 边界元法 积分方程 工程结构 裂纹 应力集中 boundary element method integral equations segregation
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参考文献4

  • 1徐芝伦.弹性力学[M].人民教育出版社,1979..
  • 2Brebbia C A.The Boundary Element Method for Engineering.P+entech Press,1978.
  • 3严文,丁方明.边界单元法基础.重庆:重庆大学出版社,1986.
  • 4Newman J C.An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various.Shaped Boundary,NASA TN,D- 6376,1971.

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