Analyses of Stress Intensity Factors for Slant Crack Emanation from Circular Inclusion by Boundary Element Method

경계요소법에 의한 원형함유물에서 파생되는 경사균열의 응력확대계수 해석

  • 박성완 (시립 인천전문대학 기계설계과) ;
  • 황순원 (인천기능대학 생산기계기술학과)
  • Published : 1998.10.01

Abstract

In order ot study the influence of a circular inclusion on a stress field near a crack tip, mutual interference of a slant crack and the circular inclusion is analyzed of a bimaterial inclusion. As the crack emanates at the equivalent slant crack angle the correction factors FⅠ and FⅡ for the inclusion wit small Young's modulus were found to decrease as the inclusion radius increased. The correction factors for inclusion with large Young's modulus increase as the inclusion radius increases at the equivalent radius of the inclusion, the correction factors decrease as the slant crack angle increases for the aspect ratio $\frac{c}{W}$ = 0.1 irrespective of the Young's modulus. For $\frac{c}{W}$ greater than 0.2, they increase as the slant crack angle increases. There is no influence of stress mutual interfce after crack emanates beyond the inclusion radius.

Keywords

References

  1. Phil. Trans. Roy Soc. v.A221 The phenomena of Rupture and Flow in Solids Griffith, A.A.
  2. Fracture Hand Buch der Physik Irwin, G.R.
  3. J. App. Mech. v.24 On the Stress Distribution at the Base of a Stationary Crack Williams. M.L.
  4. J. App. Mech. v.28 The Bending Stress Distribution at the Base of a Stationary Crack Williams, M.L.
  5. J. App. Mech. v.33 An Arc Crack around a Circular Elastic Inclusion England, A.H.
  6. Int. J. of Fract. Mech. v.4 no.3 The Effect of a Circular Inclusion on the Stress around a Line Crack in a Sheet Under Tension Tamate, O.
  7. J. Mech. Phys. Solid. v.22 A Crack along the Interface of a Circular Inclusion Embedded in an Infinite Solid Toya, M.
  8. Int. J. of Fract. v.6 Debonding along the Interface of an Elliptic Rigid Inclusion Toya, M.
  9. J. App. Mech. Interaction between a Circular Inclusion and an Arbitrarily Oriented Crack Erdogan, F.;Gupta, G.D.;Ratwani, M.
  10. Int. J. of Fract. v.11 no.1 The Inclusion Problem with a Crack Crossing the Boundary Erdogan, F.;Gupta, G.D.
  11. Int. J. of Fract. v.4 Interaction between an Elastic Circular Inclusion and Two Symmetrically Placed Collinear Cracks Hsu, Y.C.;Shivakumat, V.
  12. J. App. Mech. v.48 Crack Path Prediction for a Kinked Crack in the Neighborhood of a Circular Inclusion in an Infinite Medium Sheng, C.F.;Wheeler, L.
  13. Engng. Fract. Mech. v.34 Efficient Boundary Element Analysis of Stress Intensity Factors for Interface Cracks in Dissimilar Materials Yuuki, R.;Cho,S.B.
  14. Int. J. Fract. Mech. v.3 Some Problems of Bonded Anisotropic Plates with Cracks Along the Bond Gotoh, M.
  15. J. Mech. Phys. Solids. v.37 Cracks on Bimaterial and Bicrystal Interfaces Qu, J.;Bassane, J.L.
  16. J. Appl. Mech. v.55 Elastic-Plastic Analysis of Cracks in Bimaterial Interface : Part 1 - Small Scale Yielding Fields Shin, C.F.;Asaro, R.J.
  17. J. Appl. Mech. v.56 Elastic-Plastic Analysis of Cracks in Bimaterial Interface ; Part II - Structure of Small - Scale Yielding Fields Shin, C.F.;Asaro, R.J.
  18. Boundary Element Techniques Brebbia, C.A.;Telles, J. F.;Wrobel, L.C.
  19. Int. J. Frac. Mech. v.12 WIde Range Stress Intensity Factor Expressions for ASTME399 Standard Fracture Toughness Specimens Srawley, J.E.
  20. 日本機械學會論文集(A) v.55 no.510 異材界面き裂の應力擴大係數の境界要所彈性解析 結城良治;曺相鳳
  21. 第一回境界要素法シンポジウム 境界要素法における應力擴大係數の決定法 結城良治;木顔博行;宋本敏郞