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Semi-empirical Based Response Surface Approach for Reliability Evaluation of Steel Plates with Random Fields of Corrosion

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18th International Probabilistic Workshop (IPW 2021)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 153))

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Abstract

The paper presents a semi-empirical based response surface approach for structural reliability analysis of steel plates with non-uniform corrosion represented by random fields. The approach consists of using a semi-empirical design equation as simplified response surface model, which is then calibrated iteratively by means of the results of non-linear finite element analyses at the design points calculated by the First Order Reliability Method. This technique has been successfully applied to problems formulated in terms of discrete random variables and is now applied to problems involving spatial variability of structural parameters represented by random fields. The approach is first illustrated with an example of the ultimate strength of plates with random imperfections and material properties and then applied to plates with random fields of corrosion discretized using the Expansion Optimal Linear Estimation method. The results obtained by the semi-empirical based response surface approach and by coupling directly the First Order Reliability Method and the finite element code are compared.

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Acknowledgements

This work was developed in the scope of the project “Adaptive methods for reliability analysis of complex structures”, contract PTDC/ECM/115932/2009, funded by the Portuguese Foundation for Science and Technology (Fundação para a Ciência e a Tecnologia - FCT). This study contributes to the Strategic Research Plan of the Centre for Marine Technology and Ocean Engineering, which is financed by Portuguese Foundation for Science and Technology (Fundação para a Ciência e Tecnologia—FCT), under contract UIDB/UIDP/00134/2020.

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Authors and Affiliations

  1. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    Angelo P. Teixeira & Carlos Guedes Soares

Authors
  1. Angelo P. Teixeira
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  2. Carlos Guedes Soares
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Corresponding author

Correspondence to Angelo P. Teixeira .

Editor information

Editors and Affiliations

  1. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    José C. Matos

  2. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    Paulo B. Lourenço

  3. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    Daniel V. Oliveira

  4. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    Jorge Branco

  5. Department of Architecture, Wood and Civil Engineering, Bern University of Applied Sciences, Burgdorf, Switzerland

    Dirk Proske

  6. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    Rui A. Silva

  7. ISISE, Department of Civil Engineering, University of Minho, Guimarães, Portugal

    Hélder S. Sousa

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Teixeira, A.P., Guedes Soares, C. (2021). Semi-empirical Based Response Surface Approach for Reliability Evaluation of Steel Plates with Random Fields of Corrosion. In: Matos, J.C., et al. 18th International Probabilistic Workshop. IPW 2021. Lecture Notes in Civil Engineering, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-030-73616-3_55

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  • DOI: https://doi.org/10.1007/978-3-030-73616-3_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-73615-6

  • Online ISBN: 978-3-030-73616-3

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