Prediction of the size effect in concrete structures using an analytical approach to the weakest link and localization method (WL2)

This paper proposes a refined Weibull effective volume (WEV) approach in order to model the size effect in concrete structures. Both the Highly Stressed Volume (HSV) and Weibull Weakest Link and Localization (WL2) methods are presented. An analytical probabilistic approach to running WL2 is then dev...

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Bibliographic Details
Published in:Materials and structures 2017-06, Vol.50 (3), p.1, Article 183
Main Authors: Ghannoum, Maria, Baroth, Julien, Rospars, Claude, Millard, Alain
Format: Article
Language:English
Subjects:
Building construction
Building Materials
Civil Engineering
Concrete
Concrete structures
Engineering
Engineering Sciences
Laboratory tests
Localization
Localization method
Machines
Manufacturing
Materials
Materials Science
Mathematical analysis
Original Article
Peak load
Probability theory
Processes
Risques
Size effects
Solid Mechanics
Statistical analysis
Structures
Tensile strength
Theoretical and Applied Mechanics
Weibull modulus
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Summary:This paper proposes a refined Weibull effective volume (WEV) approach in order to model the size effect in concrete structures. Both the Highly Stressed Volume (HSV) and Weibull Weakest Link and Localization (WL2) methods are presented. An analytical probabilistic approach to running WL2 is then developed, knowing that this method takes into account the energetic-statistical size effect. The approach employed recognizes the inelastic phase before the peak load; it provides an analytical and fast estimation of the structural tensile strength at various scales. This approach depends on a scale length, which accounts for the spatial randomness of the concrete tensile strength, and is identified on a series of concrete specimens under uniaxial tension by use of an inverse analysis. The Weibull modulus estimation is also discussed herein. Moreover, it is shown that the analytical probabilistic approach to WL2 implementation yields the size effect prediction in both average and dispersion for various experimental series, from laboratory tests to large massive structures. The experimental test series discussed in this paper consists of concrete specimens under uniaxial tension and 3-point bending loading.
ISSN:1359-5997
1871-6873
DOI:10.1617/s11527-017-1049-z