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Calculation of Stress Intensity Factors Using the Mixed Volume and Boundary Integral Equation Method

혼합 체적-경계 적분방정식법을 이용한 응력확대계수 계산

  • 이정기 (홍익대학교 기계정보학과) ;
  • 이형민 (홍익대학교 대학원 기계정보학과)
  • Published : 2003.07.01

Abstract

A recently developed numerical method based on a mixed volume and boundary integral equation method is applied to calculate the accurate stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads. Firstly, it should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. Secondly, this method takes full advantage of the capabilities developed in FEM and BIEM. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and volume integral equation method. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

Keywords

Mixed Volume and Boundary Integral Equation Method;Cracks;Stress Intensity Factors;Anisotropic Inclusions;Volume Integral Equation Method;Boundary Integral Equation Method

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