• Title/Summary/Keyword: Hankel's functions

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Boundary Integral Equation Analysis of Axisymmetric Linear Elastic Problems (境界積分法에 의한 軸對稱 彈性 問題의 解析)

  • 공창덕;김진우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.787-797
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    • 1986
  • An implicit approach is employed to obtain a general boundary integral formulation of axisymmetric elastic problems in terms of a pair of singular integral equations. The corresponding kernel functions from the solutions of Navier's equation are derived by applying a three dimensional integral and a direct axisymmetrical approach. A numerical discretization schem including the evaluation of Cauchy principal values of the singular integral is described. Finally the typical axisymmetric elastic models are analyzed, i.e. the hollow sphere, the constant thickness and the V-notched round bar.