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

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

DOI QR Code

J-T Characterization of Stress Fields Along 3D Semi-Elliptical Interfacial Crack Front

J-T에 의한 3차원 반타원 계면균열선단 응력장의 기술

  • 최호승 (서강대학교 기계공학과 대학원) ;
  • 이형일 (서강대학교 기계공학과)
  • Published : 2002.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

Many research works have validated the J-T approach to elastic-plastic crack-tip stress fields in a variety of plane strain specimens. To generalize the validity of J-T method, further investigations are however needed for more practical 3D structures than the idealized plane strain specimens. In this work, we perform 3D finite element (FE) modeling of welded plate and straight pipe, and accompanying elastic, elastic-plastic FE analyses. Manual 3D modeling is almost prohibitive, since the models contain semi-elliptical interfacial cracks which require singular elements. To overcome this kind of barrier, we develop a program generating the meshes for semi-elliptical interfacial cracks. We then compare the detailed 3D FE stress fields to those predicted with J-T two parameters. Thereby we extend the validity of J-T application to 3D structures and infer some useful informations for the design or assessment of pipe welds.

Keywords

References

  1. Larsson, S. G. and Carlsson, A. J., 1973, 'Influence of Non-singular Stress Terms and Specimen Geometry on Small-scale Yielding at Crack Tips in Elastic-plastic Material,' Journal of the Mechanics and Physics of Solids, Vol. 21, pp. 263-277 https://doi.org/10.1016/0022-5096(73)90024-0
  2. Williams, M. L., 1957, 'On the Stress Distribution at the Base of a Stationary Crack,' Journal of Applied Mechanics, Vol. 24, pp. 111-114
  3. Rice, J. R., 1974, 'Limitations to the Small-scale Yielding Approximation for Crack-tip Plasticity,' Journal of the Mechanics and Physics of Solids, Vol. 22, pp. 17-26 https://doi.org/10.1016/0022-5096(74)90010-6
  4. Betegon, C. and Hancock, J. W., 1991, 'Two-parameter Characterization of Elastic-plastic Crack Tip Fields,' Journal of Applied Mechanics, Vol. 58, pp. 104-110 https://doi.org/10.1115/1.2897135
  5. Wang, Y. Y., 1991, A Two-parameter Characterization of Elastic-plastic Crack Tip Fields and Applications to Cleavage Fracture, Chapters 1-4, Ph. D. Dissertation, Department of Mechanical Engineering, Massachusetts Institute of Technology
  6. Lee, H. and Parks, D. M., 1995, Enhanced Elastic-Plastic Line-Spring Finite Element,' International Journal of Solids and Structures, Vol. 32, pp. 2393-2418 https://doi.org/10.1016/0020-7683(94)00187-2
  7. Lee, H. and Seo, H., 2000, 'The 3D Surface Crack-front Constraints in Welded Joints,' KSME Transactions (A), Vol. 24, No. 1, pp. 144-155
  8. Lee, H., Ham, H. J. and Kim, Y,-J., 1999, 'MBL Based Investigations of Interfacial Crack-tip Constraints and J-integrals in Plastically Hardening Bimaterials,' KSME Transactions, Vol. 23, No.9, pp. 1525-1535
  9. ABAQUS User's Manual, 1998, Version 5.8, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI
  10. Shih, C. F., Moran, B. and Nakamura, T., 1986, 'Energy Release Rate along a Three-dimensional Crack Front in a Thermo-mechanical Field,' International Journal of Fracture, Vol. 30, pp. 79 - 102
  11. Nakamura, T. and Parks, D. M., 1992, 'Threedimensional Stress Field Near the Crack Front of a Thin Elastic Plate,' Journal of Applied Mechanics, Vol. 55, pp. 805-813 https://doi.org/10.1115/1.3173725