Abstract
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 language | English (US) |
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Article number | 04019045 |
Journal | Journal of Engineering Mechanics |
Volume | 145 |
Issue number | 7 |
DOIs | |
State | Published - Jul 1 2019 |
Keywords
- 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