Nonlinear Creep Model for Concrete in Analysis of Plates and Shells

  • Jure RadnićEmail author
  • Domagoj Matešan
  • Marija Smilović
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 16)


A numerical model for analysis of reinforced and prestressed concrete plates and shells including creep, shrinkage and aging of concrete, already developed by the authors, has been updated with a nonlinear creep model for concrete. The model can be applied for all levels of concrete stresses, while its use for ultimate stress levels is still not fully tested. The presented nonlinear concrete creep model is simple, based on the well known linear model of concrete creep, and intended for simulation of practical concrete structures. For the verification of the presented model, an experimentally tested square concrete plate and cylindrical prestressed concrete shell were analysed numerically. The results of experimental tests at high stress levels and numerical results show good agreement.


Plate Shell Nonlinear concrete creep Numerical model 


  1. 1.
    Bažant, Z.P., Kim, S.S.: Nonlinear creep of concrete—adaptation and flow. ASCE J. Eng. Mech. Div. 105, 429–445 (1979)Google Scholar
  2. 2.
    Bažant, Z.P., Prasannan, S.: Solidification theory for concrete creep. Part I: formulation. J. Eng. Mech. 115, 1691–1703 (1989)CrossRefGoogle Scholar
  3. 3.
    Bažant, Z.P., Prasannan, S.: Solidification theory for concrete creep. Part II: verification and Application. J. Eng. Mech. 115, 1704–1725 (1989)CrossRefGoogle Scholar
  4. 4.
    Bažant, Z.P., Osman, E.: Double power law for basic creep of concrete. Mater. Struct. 9, 3–11 (1976)Google Scholar
  5. 5.
    Bažant, Z.P., Asghari, A.A.: Constitutive law for nonlinear creep of concrete. J. Eng. Mech. Div. 103, 113–124 (1977)Google Scholar
  6. 6.
    Bažant, Z.P., Panula, L.: Creep and shrinkage characterization for prestressed concrete structures. J. Prestress Concr. Inst. 25, 86–122 (1980)Google Scholar
  7. 7.
    Bažant, Z.P., Chern, J.C.: Log-double-power law for concrete creep. ACI J. 82, 675–685 (1985)Google Scholar
  8. 8.
    Bažant, Z.P., Kim, J.K.: Improved prediction model for time-dependent deformations of concrete: part 2–basic creep. Mater. Struct. 24, 409–421 (1991)CrossRefGoogle Scholar
  9. 9.
    Mazzotti, C., Savoia, M.: Nonlinear creep damage model for concrete under uniaxial compression. J. Eng. Mech. 129, 1065–1075 (2003)CrossRefGoogle Scholar
  10. 10.
    Ruiz, M.F., Muttoni, A., Gambarova, P.G.: Relationship between nonlinear creep and cracking of concrete under uniaxial compression. J. Adv. Concr. Tech. 5, 383–393 (2007)CrossRefGoogle Scholar
  11. 11.
    Radnić, J., Matešan, D.: Analysis of prestressed concrete shells subjected to long-term load. Gradjevinar (in Croatian) 62, 183–196 (2010)Google Scholar
  12. 12.
    Radnić, J., Matešan, D.: Nonlinear time-dependent analysis of prestressed concrete shells. In: Öchsner, A., et al. (eds.) Materials with complex behaviour, pp. 165–179. Springer, Berlin (2010)Google Scholar
  13. 13.
    Glanville, W.H.: Studies in reinforced concrete—creep or flow of concrete under load. Department of Scientific and Industrial Research, Building research technical paper, 12, p 111, London (1930)Google Scholar
  14. 14.
    EN 1992-1.: Eurocode 2: Design of concrete structures—Part 1: general rules and rules for buildings, European Standard, Brussels (2001)Google Scholar
  15. 15.
    Radnić, J., Matešan, D.: Experimental testing of RC slab behaviour under long-term load. MATWER 39, 157–161 (2008)Google Scholar
  16. 16.
    Radnić, J., Matešan, D.: Testing of prestressed concrete shell under long-term loading and unloading. Exp. Mech. 50, 575–588 (2010)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jure Radnić
    • 1
    Email author
  • Domagoj Matešan
    • 1
  • Marija Smilović
    • 1
  1. 1.Faculty of Civil Engineering and ArchitectureSplitCroatia

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