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Probabilistic Approach to Predict Cracking in Lightly Reinforced Microconcrete Panels
Authors:Ana Rita C da Silva  Sergio P B Proen?a  René Billardon  Fran?ois Hild
Affiliation:1Postdoctoral Fellow, Dept. of Structural Engineering, S?o Carlos School of Engineering Univ. of S?o Paulo, Avenida do Trabalhador S?o Carlense 400, 13560-590?S?o Carlos, SP, Brazil.
2Professor, Dept. of Structural Engineering, S?o Carlos School of Engineering Univ. of S?o Paulo, Avenida do Trabalhador S?o Carlense 400, 13560-590?S?o Carlos, SP, Brazil.
3Professor, LMT-Cachan, ENS de Cachan/CNRS-UMR 8535/Université Paris 6h, 61 avenue du Président Wilson, F-94235?Cachan Cedex, France.
4Research Professor, LMT-Cachan, ENS de Cachan/CNRS-UMR 8535/Université Paris 6h, 61 avenue du Président Wilson, F-94235?Cachan Cedex, France (corresponding author).
Abstract:The ultimate strength of structures made of brittle materials—such as microconcrete—strongly depends on microstructural defects, the structure size, and the loading pattern. Probabilistic approaches allow one to take account of such dependencies. By using a Weibull model, cracking of ferrocement panels is analyzed. Provided the behavior of the reinforcement remains elastic, it is shown that the Weibull parameters identified on unreinforced microconcrete samples tested in flexure may be used to predict multiple cracking in ferrocement panels tested in tension. A key aspect of the analysis is related to the understanding and modeling of the stress heterogeneity effect on the local failure probability of unreinforced as well as reinforced microconcrete by the use of a so-called Weibull stress.
Keywords:Concrete  reinforced  Cracking  Panels  Probabilistic methods  Scale effects  
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