Numerical Analysis of a Crack in the Vicinity of an Inclusion

함유체에 인접한 크랙에 관한 수치해석

  • 이정기 (홍익대학교 기계설계학과) ;
  • 라원석 (홍익대학교 기계설계학과)
  • Published : 1999.09.01

Abstract

A recently developed numerical method based on a volume integral formulation 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. 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 finite element method using ANSYS. 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.

서로 상호작용을 하는 다수의 이방성 함유체 및 균열(crack)을 포함하는 등방성 무한고체가 정적 무한하중을 받을 때 균열선단에서의 응력확대계수의 계산을 효과적으로 수행할 수 있는 수치해석 방법으로 체적 적분방정식법을 적용한다. 본 해석방법의 타당성과 우수성을 입증하기 위하여, 비교적 간단한 형태의 이방성을 나타나는 직교이방성 함유체와 균열이 포함된 무한고체가 무한하중을 받을 때 균열선단에서의 응력확대계수 계산을 수행하고, 상업용 유한요소법 코드인 ANSYS를 이용한 해석결과와 비교 검토하였다.

Keywords

References

  1. Computational Mechanics v.21 Characterization of Matrix Damage in Metal Matrix Composites under Transverse Loads Lee, J.K.;Mal, A.
  2. International Journal of Fracture v.88 The Interaction between a Crack and a Particle Cluster Bush, M.B.
  3. 한국전산구조공학회 학술발표회 논문집 v.12 no.1 이방성 함유체에 인접한 균열에 대한 응력확대계수 계산 라원석;이정기
  4. International Journal of Fracture v.11 The Inclusion Problem with a Crack Crossing the Boundary Erdogan, F.;Gupta, G.D.
  5. Transactions of the ASME, Journal of Applied Mechanics v.41 Interaction between a Circular Inclusion and an Arbitrarily Oriented Crack Erdogan, F.;Gupta, G.D.;Ratwani, M.
  6. International Journal of Engineering Science v.10 The Interaction between a Crack and an Inclusion Atkinson, C.
  7. International Journal of Fracture v.59 Variation of the Energy Release Rate as a Crack Approaches and Passes through an Elastic Inclusion Li, R.;Chudnovsky, A.
  8. International Journal of Fracture v.67 The Stress Intensity Factor Green's Function for a Crack Interacting with a Circular Inclusion Li, R.;Chudnovsky, A.
  9. International Journal of Fracture v.82 Stress Intensity Factors for an Interface Crack along an Elliptical Inclusion Chen, D.-H.;Nakamichi, S.
  10. International Journal of Fracture v.73 Interactions between Inclusions and Various Types of Cracks Hwu, C.;Liang, Y.K.;Yen, W.J.
  11. International Journal of Fracture v.74 Evaluation of Energy Release Rate for a Planar Crack in Heterogeneous Media Chang, J.H.
  12. Materials Science and Engineering v.A203 Finite Element Simulation to Investigate Interaction between Crack and Particulate Reinforcements in Metal-Matrix Composites Kassam, Z.H.A.;Zhang, R.J.;Wang,Z.
  13. Applied Mathematics and Computation v.67 A Volume Integral Equation Technique for Mulfiple Scattering Problems in Elastodynamics Lee, J.K.;Mal, A.K.
  14. Transactions of the ASME, Journal of Applied Mechanics v.64 A Volume Integral Equation Technique for Multiple Inclusion and Crack Interaction Problems Lee, J.K.;Mal, A.K.
  15. 한국전산구조공학회 논문집 v.10 no.2 탄성파의 변형 및 응력 계산에 관한 연구 이정기
  16. Journal of Applied Mechanics v.57 A Boundary Element Method for Plane Anisotropic Elastic Media Lee, K.J.;Mal, A.K.
  17. The Boundary Element Methods in Engineering Banerjee, P.K.
  18. Transactions of ASME, Journal of Applied Mechanics v.60 On the Anisotropic Elastic Inclusions in Plane Elastostatics Hwu, C.;Yen, W.J.
  19. Transactions of the ASME, Journal of Applied Mechanics v.43 Generalized Plane Problems of Elastic Inclusions in Anisotropic Solids Yang, H.C.;Chou, Y.T.
  20. PATRAN User's Manual(Version 7.0) MSC/PATRAN
  21. ANSYS User's Manual(Version 5.4) SAS IP, Inc.
  22. 홍익대학교 석사논문 이방성 함유체가 포함된 2차원 무한고체의 효과적인 탄성해석에 관한 연구 최성준