Boundary stress analysis using a new regularized boundary integral equation for three-dimensional elasticity problems
作者: Wenzhen QuYaoming ZhangChein-Shan Liu
作者单位: 1Shandong University of Technology
2Hohai University
刊名: Archive of Applied Mechanics, 2017, Vol.87 (7), pp.1213-1226
来源数据库: Springer Journal
DOI: 10.1007/s00419-017-1242-0
关键词: Boundary element methodBoundary integral equationBoundary stressDisplacement gradientThree-dimensional elasticity problem
英文摘要: This paper presents new regularized boundary integral equations (BIEs) for elastic displacement gradients in three dimensions and then combines them by the generalized Hooke’s law to calculate the boundary stress. In the new regularized BIEs, two special tangential vectors are designed with the normal vector to construct a transformation system. Based on this system, the displacement gradient in any direction can be transformed into a linear combination of the normal gradient and tangential gradients along the two special vectors. Moreover, a theorem related to some integral properties of the fundamental solution is introduced. Finally, the regularized indirect BIEs are developed by using the above-mentioned technique of linear combination and theorem. The proposed method has some...
原始语种摘要: This paper presents new regularized boundary integral equations (BIEs) for elastic displacement gradients in three dimensions and then combines them by the generalized Hooke’s law to calculate the boundary stress. In the new regularized BIEs, two special tangential vectors are designed with the normal vector to construct a transformation system. Based on this system, the displacement gradient in any direction can be transformed into a linear combination of the normal gradient and tangential gradients along the two special vectors. Moreover, a theorem related to some integral properties of the fundamental solution is introduced. Finally, the regularized indirect BIEs are developed by using the above-mentioned technique of linear combination and theorem. The proposed method has some...
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:1.035 (2012)

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关键词翻译
关键词翻译
  • three 
  • integral 积分
  • elasticity 弹性
  • equation 方程
  • special 特别的
  • boundary 边界
  • dimensional 量纲的
  • system 
  • developed 开发
  • stress 应力