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) |
|---|---|
| Article number | 04019045 |
| Journal | Journal of Engineering Mechanics |
| Volume | 145 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 1 2019 |
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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
Cite this
Multiscale random fields-based damage modeling and analysis of concrete structures. / Zhou, Hao; Li, Jie; Spencer, B F.
In: Journal of Engineering Mechanics, Vol. 145, No. 7, 04019045, 01.07.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Multiscale random fields-based damage modeling and analysis of concrete structures
AU - Zhou, Hao
AU - Li, Jie
AU - Spencer, B F
PY - 2019/7/1
Y1 - 2019/7/1
N2 - 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.
AB - 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.
KW - Concrete structure
KW - Correlation structure
KW - Damage mechanics
KW - Multiscale random field
KW - Scale of fluctuation
KW - Stochastic finite-element method
UR - http://www.scopus.com/inward/record.url?scp=85065322118&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065322118&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)EM.1943-7889.0001618
DO - 10.1061/(ASCE)EM.1943-7889.0001618
M3 - Article
AN - SCOPUS:85065322118
VL - 145
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 7
M1 - 04019045
ER -