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

뫼비우스 사상을 이용한 임의의 3차원 평면균열에서의 응력확대계수 계산


Abstract

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.

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References

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