Quantification of cohesive fracture parameters based on the coupling of Bayesian updating and the boundary element method. (January 2017)

• Record Type: Journal Article
• Authors: Cordeiro, Sergio Gustavo Ferreira; Leonel, Edson Denner; Beaurepaire, Pierre
• Is Part Of: Engineering analysis with boundary elements. Volume 74(2017:Jan.)
• Page Start: 49
• Page End: 60
• Publication Date: 2017-01
• Subjects: Stochastic concrete fracture -- Bayesian updating -- Nonlinear fracture mechanics -- Boundary element method; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.10.010
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The fracture process in concrete involves nonlinear mechanical phenomena, which are accurately represented via the cohesive crack model. Due to the inherent randomness of this process, large scatter is observed in the experimental results. Therefore, significant uncertainties control the parameters that govern the theoretical approaches for concrete fracture modelling. In this study, a stochastic procedure for the parameter quantification of concrete nonlinear fracture models is presented. The Boundary Element Method is coupled to the cohesive model to model the nonlinear fracture phenomena. The Bayesian updating approach is subsequently applied to quantify the parameters that govern the cohesive laws based on the results of experimental analyses. The stochastic procedure enables the use of different cohesive laws to identify the law that provides the best agreement between numerical responses and experimental responses. A three-point bending notched test regarding different concrete mixtures is used to demonstrate the relevance of the proposed scheme.