Skip to main content
SpringerLink
Log in

Analysis of frames containing cracks and resting on elastic foundations

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

Abstract

A fracture mechanics model has been implemented in the stiffness matrix method to analyze skeletal structures resting on elastic foundations and containing cracks at superstructure and substructure elements. Stiffness matrices for cracked superstructure and substructure elements have been developed based on fracture mechanics techniques and the stiffness matrix method.

The present model has been applied to investigate effects of crack size and location, type of loading, soil subgrade modulus, foundation rigidity, and geometry of the structure on the behaviour of cracked structures taking into consideration the soil-structure interaction effect.

Résumé

On a introduit dans la méthode des matrices de rigidité un modèle de mécanique de rupture en vue d'analyser des charpentes reposant sur des fondations élastiques et comportant des fissures dans les éléments de superstructure et de substructure.

Des matrices de rigidité relatives à des éléments de substructure et de superstructure fissurés ont été développées en se basant sur les techniques de la mécanique de la rupture et sur la méthodologie de la matrice de rigidité.

Le modèle actuel a été appliqué à l'étude des effets, sur le comportement de charpentes fissurées, de la taille et de la position d'une fissure, du type de sollicitation, du module caractéristique du sol, de la rigidité de la fondation et de la géométrie des charpentes, et ce en tenant compte de l'interaction entre le sol et la charpente.

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. W. Attia, “Three Dimensional Analysis for Cracked Structures”, M.Sc. thesis, Cairo University (1986).

  2. M.H. El Haddad, M.M. El Bahey and S. Saman, Res Mechanica 25 (1988) 371–386.

    Google Scholar 

  3. S.A. Hosni, M.H. El Haddad and A.R. Bazaraa, Scientific Engineering Bulletin, Faculty of Engineering, Cairo University 4 (1988) 143–162.

    Google Scholar 

  4. O.M. Ramadan, “Analysis of Cracked Structures Resting on Elastic Foundation”, M.Sc. thesis, Cairo University (1987).

  5. C.K. Wang, Intermediate Structural Analysis, McGraw-Hill Book Company, New York (1983).

    Google Scholar 

  6. B.Y. Ting and E.F. Mockry, Journal of Structural Division, ASCE 110 (1984) 2324–2339, Paper 19229.

    Google Scholar 

  7. R.J. Roark and W.C. Young, Formulas for Stress and Strain, McGraw-Hill International Book Company, London (1975).

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Structural Engineering, Cairo University, Egypt

    O. M. Ramadan & A. R. Bazaraa

  2. University of Qatar, Qatar

    M. H. El-Haddad

Authors
  1. M. H. El-Haddad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. M. Ramadan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. R. Bazaraa
    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

El-Haddad, M.H., Ramadan, O.M. & Bazaraa, A.R. Analysis of frames containing cracks and resting on elastic foundations. Int J Fract 45, 81–102 (1990). https://doi.org/10.1007/BF00037168

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00037168

Keywords

Search

Navigation