Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Ambiguity of Minimum Strain Energy Density Criterion and Maximum Minimum Strain Energy Density Criterion

최소 변형에너지 밀도 기준의 모호성과 최대 극소 변형에너지 밀도 기준

  • Published : 2001.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

Sihs minimum strain energy density criterion(SED) often used in the mixed mode problem has the ambiguity of the choice of minimum values. In this paper, as the method to solve the problem of SED, maximum minimum strain energy density criterion is proposed that the crack propagates in the direction of having the maximum among the minimum values of modified strain energy density factor(MS), i.e., sign($\sigma$(sub)$\theta$).Smin.

Keywords

References

  1. 조명래, 최용식, 양원호, 1993, '균열의 두께가 변화하는 부재내의 혼합모드(모드 I/II) 응력확대계수,' 대한기계학회논문집, Vol. 17, No. 8, pp. 1875-1882
  2. 정남용, 장진모, 1997, 'Al/Steel 이종재료의 접착이음에 대한 혼합모드의 파괴기준,' 대한기계학회논문집 A, Vol. 21, No. 8, pp. 1322-1331
  3. 이억섭, 류황희, 김동준, 1998, '혼합모드하중에서의 피로균열전파 방향과 피로수명 예측,' 대한기계학회논문집 A, Vol. 23, No. 9, pp. 1550-1558
  4. Sih, G. C., 1974, 'The Strain-Energy-Density Factor Applied to Mixed Mode Crack Problems,' Int. J. of Fracture, vol. 10, No. 3, pp. 305-321 https://doi.org/10.1007/BF00035493
  5. Sih, G. C., 1973, 'Introductory Chapter : A Special Theory of Crack Propagation,' Mech. of Fracture I( ed. G. C. Sih ), Noordhoof Int. Publishing, Leyden, pp. XXI-XLV
  6. Swedlow, J. L., 1976, 'Criteria for Growth of the Angled Crack,' Cracks and Fracture, ASTM STP 601, pp. 506-521
  7. Chang, K. J., 1982, 'A Further Examination on the Application of the Strain Energy Density Theory to the Angled Crack Problem,' J. of Appl. Mech., Vol. 49, pp. 377-382
  8. Williams, M. L., 1957, ' On the Stress Distribution at the Base of a Stationary Crack,' J. Appl. Mech., Vol. 24, No. 1, pp. 109-114
  9. Williams, J. G. and Ewing, P. D., 1972, 'Fracture under Complex Stress - The Angled Crack Problems,' Int. J. of Fracture Mech., Vol. 8, No. 4, pp. 441-446
  10. Muskhelishvili, N. I., 1953, 'Some Basic Problems of the Mathematical Theory of Elasticity,' Noordhoof, Groningen
  11. Erdogan, F. and Sih, G.C. , 1963, 'On the Crack Extension in Plates under Plane Loading and Transverse Shear,' J. Basic Engng., Trans. ASME Vol. 85, pp. 519-527
  12. Palaniswamy, K. and Knauss, W. G. ,1976, 'On the Problem of Cack Extension in Brittle Solids under General Loading,' Mech. Today(ed. S. Nemat-Nasser), Pergamon Press, New York, Vol. 4, pp. 87-148
  13. Tirosh, J. and Elicatz, 1981, 'Mixed-mode Fracture Angle and Fracture Locus of Materials Subjected to Compressive Loading,' Engng. Fracture Mech., Vol. 14, pp. 27-38 https://doi.org/10.1016/0013-7944(81)90017-5