Skip to main content
SpringerLink
Log in

Tension and bending of finite thickness plates with a semi-elliptical surface crack

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

This paper deals with the tension and bending of finite thickness plates with a semi-elliptical surface crack. The analysis is performed by means of a modified body force method, in which the accuracy and the validity are greatly improved by using reasonable patterns of the body force densities and the resultant force boundary conditions. Numerical calculations are done for various combinations of the shape and the size of the crack, and practically exact values of the stress intensity factors are determined by extrapolating the numerical results for several mesh patterns. Empirical formulae in polynomial forms are also presented for convenience of practical use.

Résumé

L'étude traite de la mise sous traction et flexion d'une plaque d'épaisseur finie comportant une fissure de surface semi-elliptique. On recourt pour l'analyse à une méthode modifiée d'évaluation des champs de force, où la précision et la validité ont été améliorées en utilisant des configurations pondérées des densités des forces, et des conditions aux limites qui en résultent.

Des calculs numériques sont effectués pour diverses combinaisons de forme et de taille d'une fissure, et l'on détermine des valeurs pratiquement exactes des facteurs d'intensité de contraintes en extrapolant les résultats numériques ä diverses configurations de maillage.

Des formules empiriques sous forme polynominale sont également présentées en vue de rendre aisée leur utilisation pratique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. F.W. Smith, Structural Development Research Memorandum 17, Boeing Airplane Co. (1966).

  2. F.W. Smith and M.J. Alavi, inProceedings of the 1st International Conference on Pressure Vessel Technology, ASME (1969) 783–800.

  3. R.C. Shah and A.S. Kobayashi, inThe Surface Crack: Physical Problems and Computational Solutions, ASME (1972) 79–124.

  4. R.C. Shah and A.S. Kobayashi,International Journal of Fracture 9 (1973) 133–146.

    Google Scholar 

  5. A.S. Kobayashi and W.L. Moss, inFracture, Chapman and Hall (1969) 31–45.

  6. G.R. Irwin,Journal of Applied Mechanics 29 (1962) 651–654.

    Google Scholar 

  7. P.C. Paris and G.C. Sih, inFracture Toughness Testing and Its Application, ASTM STP 381 (1965) 30–83.

    Google Scholar 

  8. R.B. Anderson, A.G. Holms and T.W. Orange,Stress Intensity Magnification for Deep Surface Cracks in Sheets and Plates, NASA TN D-6054 (1970).

  9. H. Miyamoto and T. Miyoshi, inProceedings of Symposium on High Speed Computing of Elastic Structures, IUTAM (1970) 137–155.

  10. D.M. Tracey,Nuclear Engineering and Design 26 (1974) 282–290.

    Google Scholar 

  11. T.K. Hellen and W.S. Blackburn, inComputational Fracture Mechanics, ASME (1975) 103.

  12. H. Miyata and S. Kusumoto,Transactions of JSME 43-367 (1977) 816–824.

    Google Scholar 

  13. H. Miyamoto and K. Kashima,Transactions of JSME 43-370 (1977) 2046–2054.

    Google Scholar 

  14. Y. Murakami and Y. Okazaki,Transactions of JSME 43-376 (1977) 4397–4408.

    Google Scholar 

  15. G. Yagawa, M. Ichimiya and Y. Ando, inProceedings of the 1st International Conference on Numerical Methods in Fracture Mechanics, Swansea (1978) 249–267.

  16. T. Nishioka, G. Yagawa and N. Ogura,Transactions of JSME 45-395 (1979) 717–725.

    Google Scholar 

  17. I.S. Raju and J.C. Newman, Jr.,Engineering Fracture Mechanics 11 (1979) 817–829.

    Google Scholar 

  18. J.C. Newman, Jr. and I.S. Raju,Analyses of Surface Cracks in Finite Plates under Tension and Bending Loads, NASA TP-1578 (1979).

  19. J.R. Rice and N. Levy,Journal of Applied Mechanics 39 (1972) 185–194.

    Google Scholar 

  20. D.M. Parks,Journal of Pressure Vessel Technology, Transactions ASME 103 (1981) 246–254.

    Google Scholar 

  21. H. Abe, K. Hayashi and N. Yamada,Transactions of JSME 47–423 (1981) 1147–1154.

    Google Scholar 

  22. F.W. Smith and D.R. Sorensen,Mixed Mode Stress Intensity Factors for Semi-Elliptical Surface Cracks, NASA CR-134684 (1974).

  23. A.S. Kobayashi, inProceedings of the 2nd International Conference on Mechanical Behavior of Materials, ASME (1976) 1073–1077.

  24. J.C. Newman, Jr.,Engineering Fracture Mechanics 5 (1973) 667–689.

    Google Scholar 

  25. J.N. Masters, W.P. Haese and R.W. Finger,Investigation of Deep Flaws in Thin Walled Tanks, NASA CR-72606 (1969).

  26. K. Watanabe et al.,Transactions of JSME 46-404 (1980) 396–403.

    Google Scholar 

  27. Y. Murakami et al.,Journal of Society of Materials Science, Japan, 31-344 (1982) 515–525.

    Google Scholar 

  28. J.C. Newman, Jr., inPart-through Crack Fatigue Life Prediction, ASTM STP 687 (1979) 16–45.

    Google Scholar 

  29. R.D. Mindlin,Physics 7 (1936) 195–202.

    Google Scholar 

  30. J.D. Eshelby,Proceedings of the Royal Society of London, A-241 (1957) 376–396.

    Google Scholar 

  31. H. Nisitani and Y. Murakami,International Journal of Fracture 10 (1974) 353–368.

    Google Scholar 

  32. R.J. Hartranft and G.C. Sih, inMechanics of Fracture 1, Noordhoff (1973) 179–238.

    Google Scholar 

  33. J.P. Benthem,International Journal of Solids and Structures 13 (1977) 479–492.

    Google Scholar 

  34. E.S. Folias,Journal of Applied Mechanics 42 (1975) 663–674.

    Google Scholar 

  35. H. Nisitani, inProceedings of the 1st International Conference on Numerical Methods in Fracture Mechanics, Swansea (1978) 67–80.

  36. J.P. Benthem and W.T. Koiter, inMechanics of Fracture 1, Noordhoff (1973) 131–178.

    Google Scholar 

  37. M. Isida and H. Noguchi,Engineering Fracture Mechanics, to appear.

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering, Kurume Institute of Technology, 830, Kurume, Japan

    M. Isida

  2. Faculty of Engineering, Kyushu University, 812, Fukuoka, Japan

    H. Noguchi & T. Yoshida

Authors
  1. M. Isida
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Noguchi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. Yoshida
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Isida, M., Noguchi, H. & Yoshida, T. Tension and bending of finite thickness plates with a semi-elliptical surface crack. Int J Fract 26, 157–188 (1984). https://doi.org/10.1007/BF01140626

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01140626

Keywords

Search

Navigation