Comparison of deterministic and probabilistic approaches to identify the dynamic moving load and damages of a reinforced concrete beam

Abstract

ESCO 2014 - The Fourth European Seminar on Computing, , , -Two classical civil engineering inverse problems are considered. The first deals with the determination of dynamic moving loads applied to a reinforced concrete beam. The second one corresponds to the monitoring and the damage assessment. The concrete damage due to overloading is modeled by a loss of the concrete Young' modulus, whereas the steel bar damage due to corrosion effects is modeled by a reduction of the steel bar cross section. To identify the loading and damage parameters, deterministic and probabilistic model updating techniques are applied and compared. In the deterministic approach, a gradient descent technique based on the adjoint framework is used to minimize the data misfit functional with a Tikhonov regularization term. Then, a regularization by a means of Bayes's rule is considered in a probabilistic approach. The estimation is of the minimum variance type achieved with the help of the transformed ensemble Kalman filter

Considerations on the identifiability of fracture and bond properties of reinforced concrete

“…The Bayesian approach has already been applied for estimation of elastic parameters in various linear problems. [25][26][27][28][29][30] In the last decade, the approach has been extended to more complex models accounting for the inelastic behavior of civil engineering materials and composites, such as viscoelasticity, 31 viscoplasticity, 32 elastoplasticity, [33][34][35] and damage 36,37 models. Nevertheless, there is a lack of applications to fracture models, especially in the context of reinforced concrete.…”

Parameter identification for phase-field modeling of fracture: a Bayesian approach with sampling-free update

“…Therefore, the computational cost is greatly reduced, while the accuracy of the posterior estimate can be guaranteed as discussed in papers with a broad range of applications, e.g. diffusion [19], elasto-plasticity [19] and damage [27].…”