Optimization of non destructive testing when assessing stationary stochastic processes: application to water and chloride content in concrete-Part I and II

The localization of weak properties or bad behaviour of a structure is still a challenge for the improvement of Non Destructive Testing (NDT) tools. In case of random loading or material properties, this challenge is arduous because of the limited number of measures and the quasi-infinite potential positions of local failures. The paper shows that the stationary property is sufficient to find the minimum quantity of NDT measurements and their position for a given quality assessment. A measure of the quality is suggested and the illustration is performed on a one-dimensional Gaussian stochastic field for two supports: water content assessment by capacitive NDT tools and chloride ingress by semi-destructive measurements.

[1]  Drahomír Novák,et al.  PROBABILISTIC NONLOCAL THEORY FOR QUASIBRITTLE FRACTURE INITIATION AND SIZE EFFECT. I: THEORY , 2000 .

[2]  Mircea Grigoriu,et al.  STOCHASTIC FINITE ELEMENT ANALYSIS OF SIMPLE BEAMS , 1983 .

[3]  Franck Schoefs,et al.  Structural reliability analysis of deteriorating RC bridges considering spatial variability , 2012 .

[4]  Erik H. Vanmarcke,et al.  Random Fields: Analysis and Synthesis. , 1985 .

[5]  Michael Havbro Faber,et al.  Codified Risk-Based Inspection Planning , 2001 .

[6]  Drahomír Novák,et al.  PROBABILISTIC NONLOCAL THEORY FOR QUASIBRITTLE FRACTURE INITIATION AND SIZE EFFECT. II: APPLICATION , 2000 .

[7]  Franck Schoefs,et al.  Probabilistic modeling of inspection results for offshore structures , 2003 .

[8]  Franck Schoefs,et al.  Optimization of inspection and monitoring of structures in case of spatial fields of deterioration/properties , 2011 .

[9]  Franck Schoefs.  Risk Analysis of Structures in Presence of Stochastic Fields of Deterioration: Flowchart for Coupling Inspection Results and Structural Reliability , 2009 .

[10]  Franck Schoefs,et al.  Polynomial Chaos Representation for Identification of Mechanical Characteristics of Instrumented Structures , 2011, Comput. Aided Civ. Infrastructure Eng..

[11]  Franck Schoefs,et al.  Assessment of ROC curves for inspection of random fields , 2009 .

[12]  Yunping Xi,et al.  Statistical Size Effect in Quasi‐Brittle Structures: II. Nonlocal Theory , 1991 .

[13]  Michael Havbro Faber,et al.  Risk-Based Inspection: The Framework , 2002 .

[14]  Mark G. Stewart,et al.  Pitting corrosion and structural reliability of corroding RC structures: Experimental data and probabilistic analysis , 2008, Reliab. Eng. Syst. Saf..

[15]  Armando Miguel Awruch,et al.  Reliability of reinforced concrete structures using stochastic finite elements , 2002 .

[16]  Franck Schoefs,et al.  Optimization Of Geo-positioning Of Sensors In Case Of Spatial Fields Of Deterioration/Properties , 2012 .

[17]  Ying Li,et al.  Effect of Spatial Variability on Maintenance and Repair Decisions for Concrete Structures , 2004 .

[18]  Franck Schoefs,et al.  Optimization of NDT measurements for structural reliability assessment in case of spatial variability , 2010 .

[19]  Mahesh D. Pandey,et al.  Analysis of approximations for multinormal integration in system reliability computation , 2006 .

[20]  Omran Mohamed Kenshel.  Influence on spatial variability on whole life management of reinforced concrete bridges , 2009 .

[21]  Daniel Straub,et al.  Modeling dependency in inspection performance , 2003 .