BEM Analysis of Crack Propagation in Concrete Based on Fracture Mechanics

  • A. H. Chahrour
  • M. Ohtsu


The boundary element method (BEM) is applied to fracture mechanics. The procedure is utilized to clarify crack mechanisms and to predict crack propagation in concrete beams. Mode-I fracture of center-notched concrete beams is analyzed, on the basis of a critical stress intensity factor (KIC) criterion of the linear elastic fracture mechanics LEFM and a tensile softening model of the non-linear fracture mechanics NLFM. Results show that the tensile softening model reasonably simulates global behaviors of notched beams, although the KIC criterion could recover an essential feature of mechanical behavior. Two-domain BEM analysis is introduced to analyze crack propagation in arbitrary directions. A mixed-mode fracture of a center-notched beam subjected to anti-symmetric loading is analyzed, based on the criterion of maximum circumferential stress. Crack trajectory observed in an experiment is in good agreement with that of BEM analysis.


Acoustic Emission Boundary Element Method Concrete Beam Fracture Process Zone Critical Stress Intensity Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A.Hillerborg, M.Modeer and P.E.Petersson, “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements”, Cement & Concrete Research No. 6, 1976, pp. 773–782.CrossRefGoogle Scholar
  2. 2.
    A.R.Ingraffea & V.Saouma, “Numerical Modeling of Discrete Crack Propagation in Reinforced and Plain Concrete”, Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, Martinus Nijhoff Publishers, 1985, pp. 171–225.Google Scholar
  3. 3.
    A.H.Cnahrour and M.Ohtsu, Proceedings of Japan Concrete Institute JCI, Vol. 12, No. 2, 1990, pp. 865–870.Google Scholar
  4. 4.
    T.A.Cruse and E.Z.Polch, Proceedings of 3rd Japan Symposium on Boundary Element Methods, JASCOME, 1986, pp. 111–133.Google Scholar
  5. 5.
    R.N.LSmith and J.C.Mason, “A Boundary Element Method for Curved Crack Problems in Two Dimensions”, Boundary Element Methods in Engineering, edited by C.A.Brebbia, Springer, Berlin, 1982, pp. 472–484.Google Scholar
  6. 6.
    M. Ohtsu, Theoretical and Applied Fracture Mechanics, Vol. 9, No. 1, 1988, pp. 55–60.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • A. H. Chahrour
    • 1
  • M. Ohtsu
    • 2
  1. 1.Graduate School of Kumamoto UniversityJapan
  2. 2.Department of Civil & Environmental EngineeringKumamoto UniversityJapan

Personalised recommendations