Skip to main content
SpringerLink
Log in

A constant velocity crack in an elastic plate subjected to bending

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

Abstract

Closed form pseudo-static solutions are constructed for the Kirchhoff bending stress fields associated with a semi-infinite crack extending at a uniform velocity in an infinite elastic plate. The loadings are imposed by uniform bending or twisting moments at points far from the crack line.

Résumé

On construit des solutions pseudo-statiques de forme fermée pour les champs de contrainte de flexion de Kirchhoff associés à une fissure semi infinie se propageant à une vitesse uniforme dans une plaque élastique infinie. Les chargements se font en imposant des moments de flexion et de rotation uniformes en des points éloignś de la ligne de fissure.

Zusammenfassung

Es werden pseudo-statische Lösungen in Form von geschlossenen Ausdrücken für das Kirchhoff'sche Biegespannungsfeld, zusammen mit einem einseitig-unendlichen Risse, errechnet, wobei sich der Riss mit gleichförmiger Geschwindigkeit in einer unendlichen, elastischen Platte ausbreitet.

Die Belastung wird durch uniforme Biege- und Verdrehmomente in Punkten, deren Abstand von der Risslinie gross ist, aufgebracht.

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. G.R. Irwin Structural Mechanics, Pergamon Press, New York, 557–592 (1960).

    Google Scholar 

  2. G.R. Irwin J.Appl.Mech., 24, Trans. ASME, 79, 361–364 (1957).

    Google Scholar 

  3. F. Erdogan, G.C. Sih “On the Crack Extension in Plates under Plane Loading and Transverse Shear”, J.Basic Engr., Trans.ASME, Paper No.62-WA-163, to be published.

  4. M.L. Williams J.Appl.Mech., 24, Trans.ASME, 79, 109–114 (1957).

    Google Scholar 

  5. M.L. Williams J.Appl.Mech., 28, Trans.ASME, 83, Series E, 78–82 (1961).

    Google Scholar 

  6. J.K. Knowles, N.M. Wang J. Math. Phys.; 39, 223–236 (1960).

    Google Scholar 

  7. D.D. Ang, M.L. Williams J.Appl.Mech., 28, Trans.ASME, 83, Series E, 372–378 (1961).

    Google Scholar 

  8. G.C. Sih, P.C. Paris, F. Erdogan J.Appl.Mech., 29, Trans.ASME, 83, Series E, 306–312 (1962).

    Google Scholar 

  9. G.C. Sih J.Appl.Mech., 29, Trans.ASME, 84, Series E, 587–589 (1962).

    Google Scholar 

  10. G.C. Sih, J.R. Rice J.Appl.Mech., 31, Trans.ASME, 86, 477–483 (1964).

    Google Scholar 

  11. E.H. Yoffe Phil.Mag., Series 7, 42, 739–750 (1951).

    Google Scholar 

  12. K.B. Broberg Arkiv for Fysik, 18, 159–192 (1960).

    Google Scholar 

  13. J.W. Craggs J.Mech.Phys.Solids, 8, 66–75 (1960).

    Google Scholar 

  14. A.W. Mane ZAMM, 34, 1–12 (1954).

    Google Scholar 

  15. B.R. Baker J.Appl.Mech., 29, Trans.ASME, 84, Series E, 449–454 (1962).

    Google Scholar 

  16. B. Cotterell J.Appl.Mech., 31, Trans.ASME, 86, Series E, 12–16 (1964).

    Google Scholar 

  17. L. Mansinha J.Mech.Phys.Solids 12, 353–366 (1964).

    Google Scholar 

  18. S. Timoshenko, S. Woinowsky-Krieger Theory of Plates and Shells, McGraw-Hill, 2nd ed., New York (1959).

    Google Scholar 

  19. H. Bateman Partial Differential Equations of Mathematical Physics, Cambridge Univ. Press, 476–490 (1959).

  20. Jahnke-Emde-Losch Tables of Higher Functions, 28–30 (1960).

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Science and Mechanics, University of Florida, Gainesville, Florida

    A. Jahanshahi (Associate Professor)

Authors
  1. A. Jahanshahi
    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

Jahanshahi, A. A constant velocity crack in an elastic plate subjected to bending. Int J Fract 2, 413–418 (1966). https://doi.org/10.1007/BF00183819

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00183819

Keywords

Search

Navigation