Multiscale random fields-based damage modeling and analysis of concrete structures

Hao Zhou, Jie Li, Billie F. Spencer

Research output: Contribution to journalArticlepeer-review


This paper provides a new approach to incorporating the stochastic nature of damage constitutive relations in the finite-element analysis of concrete structures. Within the framework of stochastic damage mechanics, the spatial variability of concrete was modeled as a two-scale stationary random field. At the microlevel, the damage evolution law of concrete was mapped to a random field corresponding to the microscopic fracture strain. At the macrolevel, the strength distribution of any concrete component forms a lognormally distributed random field. The connection between the two-scale random fields was established by a covariance constraint such that the scale of fluctuation of the random material property was satisfied in both scales. Taking advantage of the stochastic finite-element method, both the microscopic random damage evolution of concrete and the fluctuation of macroscopic structural responses can be numerically represented. Stochastic structural modeling and damage analyses for a conventional cantilever beam and a plane frame were carried out to illustrate the proposed method.

Original languageEnglish (US)
Article number04019045
JournalJournal of Engineering Mechanics
Issue number7
StatePublished - Jul 1 2019


  • Concrete structure
  • Correlation structure
  • Damage mechanics
  • Multiscale random field
  • Scale of fluctuation
  • Stochastic finite-element method

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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