DOI QR코드

DOI QR Code

Specimen Thickness and Crack Depth Effects on J Testing and Crack Tip Constraint for Non-standard Specimen

시편두께 및 균열깊이 영향을 고려한 비표준시편의 J 시험법 및 구속효과의 정량화

  • 김진수 (성균관대학교 기계공학부) ;
  • 조수만 (성균관대학교 기계공학부) ;
  • 김윤재 (성균관대학교 기계공학부) ;
  • 김영진 (성균관대학교 기계공학부)
  • Published : 2003.09.01

Abstract

This paper compiles solutions of plastic $\eta$ factors and crack tip stress triaxialites for standard and nonstandard fracture toughness testing specimens, via detailed three-dimensional (3-D) finite element (FE) analyses. Fracture toughness testing specimens include a middle cracked tension (M(T)) specimen, SE(B), single-edge cracked bar in tension (SE(T)) and C(T) specimen. The ligament-to-thickness ratio of the specimen is systematically varied. It is found that the use of the CMOD overall provides more robust experimental J estimation than that of the LLD, for all cases considered in the present work. Moreover, the J estimation based on the load-CMOD record is shown to be insensitive to the specimen thickness, and thus can be used for testing specimen with any thickness. The effects of in-plane and out-of-plane constraint on the crack tip stress triaxiality are also quantified, so that when experimental J value is estimated according to the procedure recommended in this paper, the corresponding crack tip stress triaxiality can be estimated. Moreover, it is found that the out-of-plane constraint effect is related to the in-plane constraint effect.

Keywords

References

  1. ASTM Standard, 1996, E 1820-96, 'Standard Test Method for Measurement of Fracture Toughness,' Annual Book of ASTM Standards, Section 3, Vol. 03.01, pp. 981-1013
  2. British Standard, 1991, BS 7448-1991, Fracture Mechanics Toughness Tests, British Standards Institution, London
  3. Hellmann D. and Schwalbe K.H., 1984, 'Geometry and Size Effects on J-R and 8-R Curves Under Plane Stress Conditions,' In: Fracture Mechanics: 15th Symposium. ASTM STP 833. Ed. Sanford R.J., American Society for Testing and Materials, Philadelphia, pp. 577-605
  4. Nevalainen M. and Dodds R.H., 2001, Numerical Investigation of 3-D Constraint Effects in Brittle Fracture in SE(B) and C(T) Specimens, U.S., Nuclear Regulatory Commission, NUREG/CR-6317
  5. Hancock J.W., Reuter W.G. and Parks D.M., 1993, 'Constraint and Toughness Parameterised by T.,' In: Hackett E.M, Schwalbe K.H, Dodds R.H, Editors. Constraint Effect in Fracture, ASTM STP 1171, American Society for Testing and Materials, Philadelphia, pp. 21-40
  6. Joyce J.A., Hackett E.M. and Roe C., 1993, 'Effects of Crack Depth and Mode of Loading on the J-R Curve Behaviour of a High-Strength Steel,' In: Hackett EM., Schwalbe K-H, Dodds R-H, editors. Constraint Effect in Fracture, ASTM STP 1171, American Society for Testing and Materials, Philadelphia, pp. 239-263
  7. Kirk M.T and Dodds R.H., 1993, 'J and CTOD Estimation Equations for Shallow Cracks in Single Edge Notch Bend Specimens,' Journal of Testing and Evaluation, Vol. 21, pp. 228-238 https://doi.org/10.1520/JTE11948J
  8. Wang Y.Y. and Gordon J.R., 1992, 'The limits of Applicability of J and CTOD Estimation Procedures for Shallow-Cracked SENB Specimens,' In: Dawes M G, editor. Shallow Crack Fracture Mechanics, Toughness Test and Applications, Cambridge, U.K.
  9. Kim Y.J. and Schwalbe K.H., 2001, 'On the Sensitivity of J Estimation to Materials' Stress Strain Curves in Fracture Toughness Testing Using the Finite Element Method,' Journal of Testing and Evaluation, Vol. 29(1), pp. 18-30 https://doi.org/10.1520/JTE12387J
  10. Kim Y.J. and Budden P.J., 2001, 'Plastic Factors of Homogeneous and Bi-Material SE(T) Specimens for Toughness and Creep Crack Growth Testing,' Fatigue and Fracture of Engineering Materials and Structures, Vol. 24(11), pp. 751-760 https://doi.org/10.1046/j.1460-2695.2001.00436.x
  11. Kim, S. Y and Seok, C.S., 2000, 'Variation of the Fracture Resistance Curve with the Change of a Size in the CT Specimen,' Transactions of the KSME, Vol. 24, No. 12, pp. 2963-2971
  12. Jang, Y.K., Choi, J.B., Kim, Y.J., Shim, D.J. and Kim, C.M., 2001, 'Study on the Fracture Behavior of a Two Dimensional Crack in Gas Pipelines Considering Constraint Effects,' Transactions of the KSME, Vol. 25, No.1, pp.61-69
  13. ABAQUS, 2003., Standard/User's Manual, Version 6.3, Hibbit. Karlsson & Sorensen, Inc, Pawtucket, RI, USA
  14. Tada H., Paris P. and Irwin G., 1985, The Stress Analysis of Cracks Handbook, Paris Production Inc., St. Louis, Missouri