Research Article
A Cost-Benefit Methodology for Selecting Analytical Reinforced
Concrete Corrosion Onset Models
N. Rakotovao Ravahatra,
1,2
T. de Larrard,
2
F. Duprat,
2
E. Bastidas-Arteaga ,
1
and F. Schoefs
1
1
Universit´ e de Nantes, Research Institute in Civil and Mechanical Engineering (GeM), UMR CNRS 6183, Nantes, France
2
Universit´ e de Toulouse, UPS, INSA, Materials and Durability of Constructions Laboratory (LMDC), Toulouse, France
Correspondence should be addressed to E. Bastidas-Arteaga; emilio.bastidas@univ-nantes.fr
Received 12 December 2019; Revised 20 May 2020; Accepted 15 June 2020; Published 7 August 2020
Academic Editor: Zhongguo John Ma
Copyright © 2020 N. Rakotovao Ravahatra et al. is is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
is work focuses on predicting corrosion onset induced by concrete carbonation or chloride ingress when using analytical
predictive models. e paper proposes a procedure that helps building and infrastructure managers to select an appropriate model
depending on the available information and the means granted to auscultation campaigns. e approach proposed combines the
costs of input parameters, their relative importance, the benefits brought through obtaining parameters, and the maintenance
strategy of the manager. Costs represent the intellectual investment to obtain parameters. is encompasses the time spent to
obtain and analyze a result and the required expertise. Relative importance and benefits are obtained from sensitivity analysis. e
effect of the maintenance strategy is introduced through a scalar called efficiency of the model. e proposed methodology is
illustrated with two case studies where it is supposed that more or less extended information is available. ree concrete qualities
are also considered in the case studies. e results highlight that the available data and concrete type have significant impacts on
the selection of the most appropriate model.
1. Introduction
It is widely accepted that a suitable maintenance strategy helps
to lengthen the service life cycle of structures [1]. Corrosion of
steel is known as one of the phenomena that significantly
reduces the life cycle of reinforced concrete structures [2, 3]
increasing failure risks [4]. Some studies have been conducted
to improve maintenance strategies against this pathology and
taking into account uncertainties [5–11].
e theory of value of information (VoI) shows how
information could improve the performance of a given system
[12, 13]. Some other studies considered expected value of
perfect information (EVPI) such as Daneshkhah et al. [14]
and Zitrou et al. [15]. Within a maintenance strategy, the
prediction of the evolution along time of the degradation
provided by models is an unavoidable crucial information.
Indeed, this is necessary for helping to schedule repair or
maintenance actions [16]. On the contrary, obtaining the
values of input parameters could involve more or less im-
portant financial resources. Depending on their strategies,
managers would not be willing to pay the same amount to
obtain such model parameters. Consequently, in order to
provide better help to managers for decision-making,
quantification of benefits brought by obtaining parameters
and hence using a given model should be provided.
A selection of degradation models is required for some
purposes. First, models must be user-friendly (complex fi-
nite element models for instance are not always convenient
for the daily practice of building managers, and their use is
rather intended for specific problems). Second, the owners of
structures and engineers working for them are prone to use
models presented in standards and recommendations be-
cause these are generally recognized by insurance compa-
nies. ird, the prediction of carbonation and chloride
ingress is improved by accounting for the uncertainties
related to material properties, exposure, and specific
Hindawi
Advances in Civil Engineering
Volume 2020, Article ID 3286721, 22 pages
https://doi.org/10.1155/2020/3286721