Calculation of Stres Intensity Factor in Arbitrarily Shaped Plane Crack by Mobius Transformation

뫼비우스 사상을 이용한 임의의 3차원 평면균열에서의 응력확대계수 계산

  • Published : 2001.04.01


In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dysons formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.


Boussinesq-Papkovich;Elliptic Crack;Mobius Transformation;Stress Intensity Factor;Dysons Formula;Least Square Method


  1. 안득만, 1994, ' 타원 균열에 대한 Mode Ⅰ무게함수 계산,' 부산대학교 생산기술연구소 논문집, 제47집, pp. 129-141
  2. Bueckner, H. F. ,1973, 'Field Singularities and Related Integral Representations, Mechanics of Fracture Ⅰ:Methods of Analysis and Solution of Crack Problems,' Edited by Sih, G.C., Noordhoff, Leyden, pp. 239-314
  3. Dyson, F.W., 1891, 'The Potentials of Ellipsoids of Variable Densities,' Quart. J. Math. Oxford Ser., Vol. 25, pp. 259-288
  4. Green, A. E. and Zerna, W. A. ,1968, Theoretical Elasticity, Oxford University Press
  5. Sih, G.C. and Liebowitz, H., 1968, 'Fracture: an Advanced Treatise,' Edited by Liebowitz, H., Academic Press, Vol. II, pp. 67-190
  6. 안득만, 1995년, '선형분수사상을 이용한 3차원 균열해석,' 대한기계학회논문집 제19권 제1호, pp. 61-78