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Study dy of Iner erti tia a Weight ight Pa Parameter er for Boundar ndary y Ele lement ment Inver erse se Analysis lysis to Det etect ect RC C Corr rrosio osion Syarizal Fonna, Syifaul Huzni Program StudiTeknik Mesin,

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SLIDE 1

Gunawarman

JurusanTeknik Mesin, Universitas Andalas, Kampus Limau Manis, Padang 25163

Study dy of Iner erti tia a Weight ight Pa Parameter er for Boundar ndary y Ele lement ment Inver erse se Analysis lysis to Det etect ect RC C Corr rrosio

  • sion

Syarizal Fonna, Syifaul Huzni

Program StudiTeknik Mesin, Universitas Syiah Kuala, Jl. Tgk. Syech Abdul Rauf No. 7, Darussalam, Banda Aceh 23111

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SLIDE 2

Corrosion of rebar

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SLIDE 3

A Bridge collapse (source: Material Performance, July 2000) Overpass highway, Quebec, Canada, 2006 (www.ctv.ca) Jakarta, 25 September 2011 (http://megapolitan.kompas.com)

The failures of RC structures due to corrosion

The collapse of the Algo Centre Mall’s roof, Canada, 2013 (www.northernontariobusiness.com)

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SLIDE 4

Direct Corrosion Monitoring

 Potential Mapping  Concrete Resistivity

  • Kampung. Jawa, Banda Aceh
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SLIDE 5

Limitation of Direct Analysis

 Less Accurate  Laborious  Time Consuming

Potential Mapping Method

Important ! Effective NDE Method

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SLIDE 6

PROPOSED METHOD:

INVERSE ANALYSIS

BOUNDARY ELEMENT METHOD PARTICLE SWARM OPTIMIZATION

BOUNDARY ELEMENT INVERSE ANALYSIS (BEIA)

  • S. Fonna et. al. 2013
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SLIDE 7

The purpose of this study: To investigate the effect of inconstant W (with Wup = 0.5 and Wlow ≤ 0.5) on the performance of BEIA in detecting rebar corrosion in concrete

Previous study

Best Constant W

Parsopoulos and Vrahatis (2010) suggested to use inconstant W for better result

  • S. Fonna et. al. 2013
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SLIDE 8

Modeling of Corrosion Problems

i = i0 =0 2 2 2 2 2

=   +   =  y x   

Laplace’s Equation

Boundary conditions:

In  BEM: Solving the Laplace’s Eq. Obtain:  and i in the whole 

1 2 Ridha et al. 2005

Polarization curve:

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SLIDE 9

WHY PSO ???

  • Simple algorithm
  • Comparable accuracy
  • S. Fonna et. al. 2013
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SLIDE 10

Particle Swarm Optimization

❑ Introduced by kennedy and eberhart in 1995 ❑ Population-based search algorithm ❑ Inspired by flocking behavior of birds Peudocode of PSO

Calculate W using Eq. c

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SLIDE 11

Boundary Element Inverse Analysis

Minimize cost function: The flowchart of inverse analysis using PSO

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SLIDE 12

κ = 0,007 Ω-1m-1 ; ε0 ≤ 10-4; a1 = a2 = 0.5; and N = 15 BEM simulation result with corrosion location at x=50 cm and size 2 cm

Numerical Simulation Setup, Results and Discussion

Generated from the polarization curves Constant parameters

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SLIDE 13

Simulation no. 1

The particle movement and the value of W during iteration for Wup = 0.5 and Wlow = 0.5 The values of Wup and Wlow for the simulation

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 10 20 30 40 50 60 70 5 10 15 20 W Corrosion Location, z (cm) Iteration Particle 1 Particle 2 Particle 3 Particle 4 Particle 5 W

Actual CL=50 cm CL obtain on iteration 14th with Error=0.26%

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SLIDE 14

Simulation No. 2

The movement of particles and value of W during iteration for Wup= 0.5 and Wlow= 0.2

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 10 20 30 40 50 60 70 5 10 15 20 W Corrosion Location, z (cm) Iteration Particle 1 Particle 2 Particle 3 Particle 4 Particle 5 W

Actual CL=50 cm CL obtain on iteration 11th with Error=0.46%

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SLIDE 15

Simulation No. 3

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 10 20 30 40 50 60 70 5 10 15 20 W Corrosion Location, z (cm) Iteration Particle 1 Particle 2 Particle 3 Particle 4 Particle 5 W

The movement of particles and value of W during iteration for Wup= 0.5 and Wlow= 0.01

Actual CL=50 cm CL obtain on iteration 14th with Error=0.33%

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SLIDE 16

The error in detecting actual corrosion for Wup = 0.5 and Wlow ≤ 0.5

1 2 3 4 5

  • 0.03
  • 0.025
  • 0.02
  • 0.015
  • 0.01
  • 0.005

Error (%) Gradient of W during iteration (Wup = 0.5 and Wlow ≤ 0.5) Ave Error Min Error Max Error

Resume of all simulation

Less than 5%

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SLIDE 17

▪ The effect of inconstant W on BEIA when detecting rebar corrosion in concrete was explored ▪ the inconstant W with Wup = 0.5 and Wlow≤ 0.5 did not influence the performance of the BEIA in detecting rebar corrosion ▪ The error with respect to the actual location of corrosion (inconstant W with Wup = 0.5 and Wlow ≤ 0.5 ) was less than 5%

Conclusions

Further study: important to conduct further research to study the effect of Wup > 0.5 for inconstant W

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SLIDE 18

THANK YOU