Cover
Vol. 10 No. 1 (2010)

Published: June 30, 2010

Pages: 85-96

Original Article

Study of bond stresses distribution between steel reinforcement and concrete using finite element method

Abstract

In this investigation, the bond stresses between the reinforcement and concrete was studied by using non-material interface elements that are able to produce the bond stresses for the reinforced concrete beam gradually loaded from zero to failure. Depending on (Jawad) program, which is a non-linear analysis program of plain and reinforced concrete beams through a discrete-crack approach by using the finite element method. The stiffness matrix derivation of the interface element and the way of non-linear treatment were explained. The distribution of bond stress drawings along the steel reinforcement for different values of loading was achieved before and after cracking.

References

  1. C. Zienkiewicz, et al., "Analysis of nonlinear problems with particular reference to jointed rock systems", Proc. 2nd Intl. Conf. Society of Rock Mech., Belgrade, Vol. 3, 1970, pp. 501-509.
  2. C. S. Desai, et al., "Thin-layer element for interfaces and joints", Intl. J. for Numerical and Analytical Methods in Geomechanics, Vol. 8, pp. 19-43, 1984.
  3. R. E. Goodman, et al., "A method for the mechanics of jointed rock", J. Soil Mech. and Found. Div. ASCE, 94, (SM 3), 1968.
  4. M. A. Fernandez Prada, "Un modelo por el metodo de los elementos finitos para el analisis no lineal de estructuras de hormigon en tension plana con representation real de la fisura", Doctorate Thesis, Construction Dep. of Engineering College (UPV), Valencia (Spain), 1988, 230 pp.
  5. Nilson, A. H., Darwin, D., and Dolan, C. W., "Design of Concrete Structures", 13th Edition, McGraw-Hill, New York, 2004, 779 pp.
  6. "Bond and Development of Straight Reinforcing Bars in Tension", Reported by ACI Committee (ACI 408R-03).
  7. Eligehausen, R., Popov, E. P., and Bertero, V. V., "Local Bond Stress-Slip Relationships of Deformed Bars under Generalized Excitations", Report No. UBC/EERC-82.123, Earthquake Engineering Research Center, University of California at Berkeley, 1983, 169 pp.
  8. M. A. Jawad, P. F. Miguel and M. A. Fernandez, "Analytical Model of Plain and Reinforced Concrete by Finite Element Method Using Discrete-Crack Approach", Proc. V Arab Conference on Structural Engineering, Tripoli, 27-30 Nov. 1993.
  9. P. F. Miguel, M. A. Jawad and M. A. Fernandez, "A Discrete-Crack Model Analysis of Concrete Structure", Second International Conference on Computer Aided Analysis and Design of Concrete Structure (SCI-C), Zell am See, Austria, 4-6 April 1990.
  10. V. Ramakrishnan and Y. Ananthanarayana, "Ultimate strength of deep beam in shear", ACI J., Vol. 65, no. 7, pp. 87-98, 1968.