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Title: Stochastic finite element modeling of heterogeneities in massive concrete and reinforced concrete structures
Authors: Ghannoum, Maria 
Baroth, Julien
Millard, Alain
Rospars, Claude
Affiliations: Department of Civil and Environmental Engineering 
Keywords: Autocorrelated random field
Crack pattern
Stochastic finite element
Tensile strength
Issue Date: 2024-01-01
Publisher: Wiley Online Library
Part of: International Journal for Numerical and Analytical Methods in Geomechanics
The lifespan of a reinforced concrete (RC) structure can be greatly influenced by the spatial variability of its material characteristics which, in particular, explains the observed or measured reduction of the tensile strength at first crack when the volume under tension increases. This paper discusses the ability of accounting for the spatial variability of the tensile strength of concrete in RC structures using a stochastic finite element (SFE) method based on random field simulations. In this work, the generation of random fields on the concrete tensile strength aims at computing the force corresponding to the first crack occurrence, and the reduced tensile strength of the structure. The method can be applied in particular to large-sized structures, which show a pronounced size effect, for different types of loading. The method consists of, first, estimating the mean of the random field, using the analytical approach of the weakest link and localization method (WL2A). Then, the discretized random field is defined on a particular 2D or 3D grid, and it is finally projected on the finite element mesh of the studied structure. The study of the parameters that influence the prediction of the cumulative density functions (CDFs) of the rupture force or the tensile strength is highlighted using experimental series of concrete beams having different volumes and subjected to 4-point bending loading. Moreover, the SFE method is applied to a RC tie-beam under tensile loading, characterized by a weak stress gradient, which complicates the prediction of crack positions.
ISSN: 03639061
DOI: 10.1002/nag.3684
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Civil and Environmental Engineering

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