Skip to main content

Damage Characteristics and Longevity Constraints

  • Chapter
  • First Online:
Structural Optimization with Uncertainties

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 162))

  • 1282 Accesses

Abstract

Some aspects of optimal design of structures under cyclic loading have been discussed in Chapter 5 taking into account crack appearing and growth. The optimization problems contained a constraint, the number of cyclic before fracture; we call this the longevity constraint. In this section and the next we present some results of optimization of beams, plates, shells and beam-like structures [Ban97, Ban98, BN07, BN08a, BN08b].

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Similar content being viewed by others

References

  1. N. V. Banichuk. Free boundaries optimization under fracture mechanics constraints. Universităţii “Ovidius” Constanţa. Analele Ştiinţifice. Seria Matematică, 5(1): 13–19, 1997

    Google Scholar 

  2. N. V. Banichuk. Optimal design of quasi-brittle elastic bodies with cracks. Mechanics Based Design of Structures and Machines, 26(4): 365–376, 1998

    Article  Google Scholar 

  3. N. V. Banichuk and P. Neittaanmäki. On structural optimization with incomplete information. Mechanics Based Design of Structures and Machines, 35(1): 75–95, 2007

    Article  Google Scholar 

  4. N. V. Banichuk and P. Neittaanmäki. Incompleteness of information and reliable optimal design. In Evolutionary and Deterministic Methods for Design, Optimization and Control, P. Neittaanmäki, J. Périaux, and T. Tuovinen, eds., CIMNE, Barcelona, pp. 29–38, 2008

    Google Scholar 

  5. N. V. Banichuk and P. Neittaanmäki. Optimal design with incomplete information using worst case scenario. In Advances in Mechanics: Dynamics and Control. Proceedings of the 14th International Workshop on Dynamics and Control, F. L. Chernousko, G. V. Kostin and V. V. Saurin, eds., Nauka, Moscow, 46–52, 2008

    Google Scholar 

  6. G. P. Cherepanov. Mechanics of Brittle Fracture. McGraw-Hill, New York, 1979

    MATH  Google Scholar 

  7. K. Hellan. Introduction to Fracture Mechanics, Mc Graw-Hill Inc., New York, 1984

    Google Scholar 

  8. J. W. Hutchinson. A Course of Nonlinear Fracture Mechanics, Technical University of Denmark, Copenhagen, Lyngby, 1979

    Google Scholar 

  9. R. V. Goldstein and V. M. Entov. Qualitative Methods in Continuum Mechanics, Longman, Harlow, copublished with John Wiley & Sons, New York, 1994

    Google Scholar 

  10. V. V. Bolotin. Statistical theory of aseismic design of structures. In Proceeding of Second World Conference on Earthquake Engineering, Tokio, 1961

    Google Scholar 

  11. V. V. Bolotin. Statistical Methods in Structural Mechanics. Holden-Day, Inc., San Francisco, 1969

    MATH  Google Scholar 

  12. S. Streletskii. Problem of establishing safety factors for structures, Izvestiya Akademii Nauk SSSR, No. 1, 1947

    Google Scholar 

  13. N. V. Banichuk, M. Mäkelä, and P. Neittaanmäki. Shape optimization for structures from quasi-brittle materials subjected to cyclic loads. In Identification, Control and Optimization of Engineering Structures, G. De Roeck and B. H. V. Topping, eds., CIVIL-COMP Press, Edinburg, 145–151, 2000

    Google Scholar 

  14. N. I. Muskhelishvili. Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen, 1953

    MATH  Google Scholar 

  15. N. V. Banichuk. Introduction to Optimization of Structures. Springer-Verlag, New York, 1990

    MATH  Google Scholar 

  16. J. Haslinger and P. Neittaanmäki. Finite Element Approximation for Optimal Shape Design. Theory and Applications. John Wiley & Sons, Chichester, 1988

    MATH  Google Scholar 

  17. P. Neittaanmäki, J. Sprekels, and D. Tiba. Optimization of Elliptic Systems. Theory and Applications, Springer, New York, 2006

    Google Scholar 

  18. P. Neittaanmäki and S. Repin. Reliable Methods for Computer Simulation. Error Control and a Posteriori Estimates, Studies in Mathematics and its Applications, vol. 33, Elsevier, Amsterdam, 2004

    Google Scholar 

  19. N. V. Banichuk. Problems and Methods of Optimal Structural Design. Number 26 in Mathematical Concepts and Methods in Science and Engineering. Plenum Press, New York, 1983

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. V. Banichuk .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Banichuk, N.V., Neittaanmäki, P. (2010). Damage Characteristics and Longevity Constraints. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_11

Download citation

  • DOI: https://doi.org/10.1007/978-90-481-2518-0_11

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-2517-3

  • Online ISBN: 978-90-481-2518-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics