6 Bayesian Updating of a Cracking Model for Reinforced Concrete Structures Subjected to Static and Cyclic Loadings 49 Fig. 6.4 Comparison of a posteriori histograms of w consideration of the geometry of the crack, the space between the cracks, and the propagation of the fatigue cracks. Finally, the parameters of the damage model whose values are taken from the literature will be modeled as random variables in order to evaluate the effects of their uncertainties on the output parameters of the mechanical model. Acknowledgments The financial support of the Regional Council of “Pays de la Loire” within the framework of the BUENO 2018–2021 research program (Durable Concrete for Offshore Wind Turbines) is gratefully acknowledged. References 1. La Borderie, C.: Unilateral effects for damage-like materials: modelling and application to concrete structures. PhD Thesis, University Paris VI, Paris (1991) 2. Matallah, M., La Borderie, C.: Inelasticity–damage-based model for numerical modeling of concrete cracking. Eng. Fract. Mech. 76(8), 1087– 1108 (2009) 3. Richard, B., Ragueneau, F., Cremona, C., Adelaide, L.: Isotropic continuum damage mechanics for concrete under cyclic loading: stiffness recovery, inelastic strains and frictional sliding. Eng. Fract. Mech. 77(8), 1203–1223 (2010) 4. Lemaître, J., Chaboche, J.L.: Solid Material Mechanics. Dunod, Paris (2004) 5. Wang, X.-H., Bastidas-Arteaga, E., Gao, Y.: Probabilistic analysis of chloride penetration in reinforced concrete subjected to pre-exposure static and fatigue loading and wetting-drying cycles. Eng. Fail. Anal. 84, 205–219 (2018) 6. Ragueneau, F., Mazars, J., La Borderie, C.: Damage model for concrete including residual hysteretic loops: application to seismic and dynamic loading. In: Framcos 3 – 3rd Conference on Fracture Mechanics of Concrete Structures, Vol. 1, No. 1, pp. 685–696 1998
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