Multiscale Random Fields-Based Damage Modeling and Analysis of Concrete Structures
Publication: Journal of Engineering Mechanics
Volume 145, Issue 7
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.
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Acknowledgments
Financial support from the National Natural Science Foundation of China (Grant Nos. 51261120374 and 51538010) is gratefully appreciated. The authors would like to thank Mr. Fernando Daniel Gomez Sanchez, Mr. Peisong Wu, and Dr. Gaston Andres Fermandois Cornejo for numerous helpful discussions and suggestions. The first author would like to acknowledge the financial support from the Postdoctoral Science Foundation of China (Grant No. 2018M640783).
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Published In
Journal of Engineering Mechanics
Volume 145 • Issue 7 • July 2019
Copyright
©2019 American Society of Civil Engineers.
History
Received: Aug 29, 2018
Accepted: Dec 5, 2018
Published online: May 3, 2019
Published in print: Jul 1, 2019
Discussion open until: Oct 3, 2019
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