Solidification-microprestress-microplane (SMM) theory for concrete at early age: Theory, validation and application

Giovanni Di Luzio, Gianluca Cusatis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

95 Scopus citations


This paper presents a new constitutive model describing the mechanical behavior of concrete at early age and beyond. This model, entitled solidification-microprestress-microplane (SMM) model, amalgamates the microplane model and the solidification-microprestress theory and takes into account all the most significant aspects of concrete behavior, such as creep, shrinkage, thermal deformation, and cracking starting from the initial stages of curing up to several years of age. Age-dependent viscoelastic behavior under variable hygro-thermal conditions is described according to the solidification- microprestress theory. Cracking/damage behavior is modeled through an age-dependent microplane model, in which the model parameters are assumed to be dependent on an aging variable evolving with the extent of early-age chemical reactions (hydration, silica-fume reaction, etc.) and temperature. Calibration and validation of the model is performed by the numerical simulations of the age-dependent response of sealed and unsealed specimens subject to a variety of loading conditions and/or drying. Comparison with experimental data shows that the SMM model can reproduce well the interplay of shrinkage, creep, and cracking phenomena during curing and drying.

Original languageEnglish (US)
Pages (from-to)957-975
Number of pages19
JournalInternational Journal of Solids and Structures
Issue number6
StatePublished - Mar 15 2013


  • Concrete
  • Cracking
  • Creep
  • Early age
  • Relative humidity
  • Shrinkage
  • Temperature

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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