Materials and Structures

, 42:1433 | Cite as

Numerical modelling of the seismic behaviour of a 7-story building: NEES benchmark

  • Stéphane Grange
  • Panagiotis Kotronis
  • Jacky Mazars
Original Article


The American NEES Consortium Inc. (NEESinc) has performed a seismic research project around an uniaxial shaking table test on a structure representing a full-scale vertical slice of a 7-story reinforced concrete wall building. This paper deals with the numerical strategy adopted in the laboratory 3S-R for a “blind” simulation of the non linear behaviour of the specimen. Multifiber Timoshenko beam elements are used for the finite element mesh of the reinforced concrete walls. Constitutive models are based on damage mechanics for concrete and plasticity for steel. It is shown that the proposed modelling strategy describes accurately the global behaviour of the structure (even though the prediction is “blind”). Then, comparison with the experimental results helps to identify the deficiencies of the original numerical model and to propose remedies in order to improve its performance. Based on the results obtained it appears possible to use this approach to investigate numerically the behaviour of a wider variety of configurations that is practically impossible to study experimentally.


Shaking table Timoshenko beam Multifiber Concrete Building 



The authors are grateful for the financial support of the European Contract LESSLOSS, Risk Mitigation for Earthquakes and Landslides of the Sixth Framework Program (Project No.: GOCE-CT-2003-505488). They would like to thank the organizers of the seven-story building-slice earthquake “blind” prediction contest for their financial support that made possible for the 3S-R group to participate to the NEES/UCSD Workshop and Seminar “Analytical Model of Reinforced Concrete Walls” held in San Diego the 15th and 16th of December 2006.


  1. 1.
    BAEL91 (2000) Règles techniques de conception et de calcul des ouvrages et constructions en béton armé suivant la méthode des états-limites. Eyrolles, Paris, FranceGoogle Scholar
  2. 2.
    Filippou FC, Popov EP, Bertero VV (1983) Effects of bond deterioration on hysteretic behaviour of reinforced concrete joints. Technical Report EERC-83/19. Earthquake Engineering Reseach Center, Univerity of California, BerkeleyGoogle Scholar
  3. 3.
    Filippou FC, Constandines M (2004) FedeasLab getting started guide and simulations examples. Department of Civil and Environmental Engineering, UC BerkeleyGoogle Scholar
  4. 4.
    Grange S, Kotronis P, Mazars J (2007) Extensive validation of the SSI macro element using experimental and numerical results. Deliverable [D8-2], European Contract LESSLOSS, Project No.: GOCE-CT-2003-505488, Risk Mitigation for Earthquakes and Landslides, Sixth Framework Programme.
  5. 5.
    Grange S, Kotronis P, Mazars J (2008) A macro-element for a circular foundation to simulate 3D soil-structure interaction. Int J Numer Anal Methods Geomech 32(10):1205–1227Google Scholar
  6. 6.
    Gutiérrez E, Zaldivar JM (2000) The application of Karhunen-Loéve, or principal component analysis method, to study the non-linear seismic response of structures. Earthq Eng Struct Dyn 29:1261–1286CrossRefGoogle Scholar
  7. 7.
    Kotronis P, Mazars J (2005) Simplified modelling strategies to simulate the dynamic behaviour of r/c walls. J Earthq Eng 9(2):285–306CrossRefGoogle Scholar
  8. 8.
    La Borderie C (1991) Phénomènes unilatéraux dans un matériau endommageable: modélisation et application l’analyse des structures en béton. PhD thesis, Université Paris 6Google Scholar
  9. 9.
    Mazars J, Kotronis P, Ragueneau F, Casaux G (2006) Using multifiber beams to account for shear and torsion. Applications to concrete structural elements. Comput Methods Appl Mech Eng 195(52):7264–7281MATHCrossRefGoogle Scholar
  10. 10.
    Menegoto M, Pinto P (1973) Method of analysis of cyclically loaded reinforced concrete plane frames including changes in geometry and non-elastic behaviour of elements under combined normal force and bending. In: IABSE Symposium on resistance and ultimate deformability of structures acted on by well-defined repeated loads, final report, Lisbon, p 328Google Scholar
  11. 11.
    NEES7story website (2006) NEES/UCSD seven-story building-slice earthquake blind prediction contest.
  12. 12.
    NEES7story report (2006) NEES/UCSD workshop and seminar on analytical modeling of reinforced concrete walls for earthquake resistance. (Report), UC San Diego, USA–California, December 15–16Google Scholar

Copyright information

© RILEM 2008

Authors and Affiliations

  • Stéphane Grange
    • 1
  • Panagiotis Kotronis
    • 1
  • Jacky Mazars
    • 1
  1. 1.Grenoble Universités, Laboratoire Sols Solides Structures-Risques (3S-R), C.N.R.S.Grenoble Cedex 9France

Personalised recommendations