• J. Hannawald


This contribution aims at determining the material parameters tensile strength, fracture energy and the shape of the tensile softening diagram (TSD) for some types of concrete used in Civil Engineering by an inverse finite element (FE) analysis of three point bending (TPB) tests on notched specimens. As an extension to the bilinear approximation of the TSD a multilinear approximation is adopted as the basis of the analysis.


Fracture Energy Crack Opening Displacement Cohesive Zone Crack Opening Displacement Three Point Bend 
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  1. 1.
    Jirásek, M.; Bazant Z. P, 2002, Inelastic Analysis of Structures. Chichester: John Wiley & SonsGoogle Scholar
  2. 2.
    Bazant, Z.P.; Oh, B.H., 1983, Crack Band Theory for Fracture of Concrete, Materials and Structures, vol. 16 no. 93:155–177Google Scholar
  3. 3.
    Hillerborg, A.; Modeér, M.; Petersson, P.-E, 1976, Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements, Cement and Concrete Research. 6:773–781CrossRefGoogle Scholar
  4. 4.
    Reinhardt, H.W.; Cornelissen, H.A.W.; Hordijk, D.A., 1986, Tensile Tests and Failure Analysis of Concrete, Journal of Structural Engineering (ASCE), 112, No. 11:2462–2477CrossRefGoogle Scholar
  5. 5.
    Hordijk, D.A., 1991, Local Approach to Fatigue of Concrete. Delft, Technical University, PhDGoogle Scholar
  6. 6.
    Roelfstra, P.E.; Wittmann, F.H., 1986, Numerical Method to link Strain Softening with Failure of Concrete, in: Fracture Toughness and Fracture Energy of Concrete: Proceedings of the International Conference on Fracture Mechanics of Concrete, F. H. Wittmann, ed., Elsevier, Amsterdam, pp. 163–175Google Scholar
  7. 7.
    Schmidt, U., Kang, B.-G., Hannawald, J., Brameshuber, W., 2005, Tests on Loadbearing Behaviour of Masonry Shear Walls, in: Autoclaved Aerated Concrete : Innovation and Development. Proceedings of the 4th International Conference on Autoclaved Aerated Concrete, Limbachiya, M.C., Roberts, J.J. eds., pp. 375–385Google Scholar
  8. 8.
    Brameshuber, W., Eck. Th., 2006, Application of Fracture Mechanics on Unreinforced Concrete Walls, in: Proceedings of 16th European Conference of Fracture to be published.Google Scholar
  9. 9.
    Brameshuber, W., Brockmann, T., Banholzer, B., 2004, Analytical Evaluation of the Softening Behaviour of Fine Grained Concrete, in: Proceedings of the fifth International Conference on “Fracture Mechanics of Concrete Structures” (FRAMCOS-5), Li, V.C. et al, ed., Vail Colorado, USA Vol. 2, pp. 1145–1153Google Scholar
  10. 10. Scholar
  11. 11.
    Powell, M.J.D., 2003, On the Use of Quadratic Models in Unconstrained Minimisation, Report No. 2003/Na03, Scholar
  12. 12. Scholar
  13. 13. (The package is called NEWUOA)Google Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • J. Hannawald
    • 1
  1. 1.Institute of Building Materials Research RWTH Aachen UniversityAachenGermany

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