Skip to main content
SpringerLink
Log in
Book cover

PROBAMAT-21st Century: Probabilities and Materials pp 317–331Cite as

Finite Element and Reliability: Combined Methods by Response Surface

  • Chapter

Part of the book series: NATO ASI Series ((ASHT,volume 46))

Abstract

The analysis of reliability for materials and structures requires both a relevant model of the mechanical behavior (scenario of failure, performance function or limit state function) around crisis situations, and an efficient evaluation model of the probability of failure.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. T. Abdo and R. Rackwitz. A new beta-point algorithm for large time-invariant and time variant reliability problems. In Reliability and Optimization of Structures. 3th WG 7. 5 IFIP conference, Berkeley, 1990.

    Google Scholar 

  2. C.G. Bucher and U. Bourgund. A fast and efficient response surface approach for structural reliability problems. Structural Safety, (7): 57–66, 1990.

    Google Scholar 

  3. D. Benoist, Y. Tourbier, and S. Germain. Plans d’expériences: construction et analyse. Lavoisier, 1994.

    Google Scholar 

  4. N. Devictor. Fiabilité et mécanique: méthodes FORM/SORM et couplages avec des codes d’éléments finis par des surfaces de réponse adaptatives. PhD thesis, Université Blaise Pascal-Clermont II, décembre 1996.

    Google Scholar 

  5. A. Der Kiureghian and P.L. Liu. Structural reliability under incomplete probability information. J. Eng. Mechanics, (112(1)), 1986.

    Article  Google Scholar 

  6. O. Ditlevsen and H.O. Madsen. Structural Reliability Methods. John Wiley & Sons, 1996.

    Google Scholar 

  7. I. Enevoldsen, M.H. Faber, and J.D. Srensen. Adaptative response surface techniques in reliability estimation. In Schueller, Shinozuka, and Yao, editors, Structural Safety and Reliability, pages 1257–1264, 1994.

    Google Scholar 

  8. K. El-Tawil, J.P. Muzeau, and M. Lemaire. Reliability method to solve mechanical problems with implicit limit state. In R. Rackwitz and P. Thoft-Christensen, editors, Reliability and Optimization of Structures, Proc of the 4 th IFIP WG 7.5 conference, pages 181–190. Springer-Verlag, 1991.

    Google Scholar 

  9. L. Faravelli. Response surface approach for reliability analysis. Journal of Engineering Mechanics, 115(12), 1989.

    Article  Google Scholar 

  10. S.H. Kim and S.W. Na. Response surface method using vector projected sampling points. Structural Safety, 19 (1): 3–19, 1997.

    Article  Google Scholar 

  11. M. Lemaire. Reliability and mechanical design. Reliability engineering ti system safety, 55 (2): 163–170, February 1997.

    Article  Google Scholar 

  12. Y.W. Liu and F. Moses. A sequential response surface method and its application in the reliability analysis of aircraft structural systems. Structural Safety, 16 (1+2): 39–46, 1994.

    CAS  Google Scholar 

  13. M. Lemaire, A. Mohamed, and O. Florès-Macias. The use of finite element codes for the reliability of structural systems. In D.M. Frangopol, R.B. Corotis, and R. Rackwitz, editors, Reliability and Optimization of Structural Systems’96, 7th IFIP WG 7.5 Working Conference, Boulder, 2–4 April. Elsevier (Pergamon), 1997.

    Google Scholar 

  14. G. Maymon. Direct computation of the design point of a stochastic structure using a finite element code. Structural Safety, 14 (3): 185–202, 1994.

    Article  Google Scholar 

  15. J. C. Mitteau. Error estimates for FORM and SORM computations of failure probability. In Probabilistic Mechanics and Structural Reliability, Worcester, August, 7–9. 7th ASCE speciality conference, 1996.

    Google Scholar 

  16. M. Meynet and M. Lemaire. Utilisation de plans d’expériences dans l’espace normé pour la construction de surface de réponse. Technical report, LaRAMA — Institut Français de Mécanique Avancée et Université Blaise Pascal, Clermont-Fd, France, 1996.

    Google Scholar 

  17. J.P. Muzeau, M. Lemaire, and K. El-Tawil. Méthode fiabiliste des surfaces de réponse quadratiques (srq) et évaluation des règlements. Construction Métallique, (3):41–52, septembre 1992.

    Google Scholar 

  18. A. Mohamed, F. Suau, and M. Lemaire. A new tool for reliability based design with ANSYS FEA. In ANSYS Conference é4 Exhibition, Houston, USA, pages 3.13–3.23. ANSYS, Inc, 1996.

    Google Scholar 

  19. M.R. Rajashekhar and B.R. Ellingwood. A new look at the response surface approach for reliability analysis. Structural Safety, 12 (3): 205–220, 1993.

    Article  Google Scholar 

  20. R. Rackwitz and B. Fiessler. Structural reliability under combined random load sequences. Computers and Structures, (vol 9 ): 489–494, 1979.

    Article  Google Scholar 

  21. GmbH RCP and ApS RCP. A Structural Reliability Analysis Program: STRUREL. RCP GmbH, München, Germany, and RCP ApS, Mariager, Denmark, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LaRAMA - Institut Français de Mécanique Avancée, et Université Blaise Pascal, BP 265, F-63175, Aubiere, France

    M. Lemaire

Authors
  1. M. Lemaire
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, AZ, USA

    George N. Frantziskonis

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Lemaire, M. (1998). Finite Element and Reliability: Combined Methods by Response Surface. In: Frantziskonis, G.N. (eds) PROBAMAT-21st Century: Probabilities and Materials. NATO ASI Series, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5216-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5216-7_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6196-4

  • Online ISBN: 978-94-011-5216-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation