Skip to main content
Log in

Structural optimization in geotechnical engineering: basics and application

  • Research Paper
  • Published:
Acta Geotechnica Aims and scope Submit manuscript

Abstract

Structural optimization methods are used for a wide range of engineering problems. In geotechnical engineering however, only limited experience exists with these methods. The difficulties in applying such methods to geotechnical problems are discussed in this paper, and the adaption of the commonly known SIMP-method to geotechnical problems is introduced for a special case. An application example is used to present the potential of topology optimization methods, and the application to geotechnical engineering is evaluated.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidiscip Optim 30:251–272

    Article  MathSciNet  Google Scholar 

  2. Baker R, Garber M (1977) Variational approach to slope stability. Proceedings of the ninth international conference on soil mechanics and foundation engineering

  3. Bauer E (2009) Hypoplastic modelling of moisture-sensitive weathered rockfill materials. Acta Geotech 4:261–272

    Article  Google Scholar 

  4. Bendsøe MP (1995) Optimization of structural topology, shape and material. Springer, Berlin

    Google Scholar 

  5. Guo PJ (2010) Effect of density and compressibility on K0 of cohesionless soils. Acta Geotech 5:225–238

    Article  MATH  Google Scholar 

  6. Henke S, Grabe J (2008) Numerical investigation of soil plugging inside open-ended piles with respect to the installation method. Acta Geotech 3:215–223

    Article  Google Scholar 

  7. Huang WX, Wu W, Sun DA, Sloan S (2006) A simple hypoplastic model for normally consolidated clay. Acta Geotech 1:15–27

    Article  Google Scholar 

  8. Kinzler S, König F, Grabe J (2007) Entwurf einer Pfahlgründung unter Anwendung der Mehrkriterienoptimierung. Bauingenieur 82:267–379

    Google Scholar 

  9. Krishnan S (2010) A 199-line Matlab code for Pareto-optimal tracing in topology optimization. Struct Multidiscip Optim 42:665–679

    Article  MathSciNet  Google Scholar 

  10. Mašín D, Herle I (2007) Improvement of a hypoplastic model to predict clay behaviour under undrained conditions. Acta Geotech 2:261–268

    Article  Google Scholar 

  11. Meier J, Schaedler W, Botgatti L, Schanz T (2008) Inverse paramter identification technique using PSO algorithm applied to geotechnical modeling. J Artif Evol Appl

  12. Niemunis A, Herle I (1998) Hypoplastic model for cohesionless soils with elastic strain range. Mech Frict Cohesive Mater 2:279–299

    Article  Google Scholar 

  13. Rondón HA, Wichtmann T, Triantafyllidis Th, Lizcano A (2007) Hypoplastic material constants for a well-graded granular material for base and subbase layers of flexible pavements. Acta Geotech 2:113–126

    Article  Google Scholar 

  14. Salciarini D, Tamagnini C (2009) A hypoplastic macroelement model for shallow foundations under monotonic and cyclic loads. Acta Geotech 4:163–176

    Article  Google Scholar 

  15. Sigmund O (1994) Design of material structures using topology optimization, Ph.D. Thesis, Department of Solid Mechanics, Technical University of Denmark

  16. Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach

  17. Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 21:120–127

    Article  Google Scholar 

  18. Tejchman J, Górski J (2010) Finite element study of patterns of shear zones in granular bodies during plane strain compression. Acta Geotech 5:95–112

    Article  Google Scholar 

  19. von Wolffersdorff P-A (1996) A hypoplastic relation for granular materials with a predefined limit state surface. Mech Frict Cohesive Mater 1:251–271

    Article  Google Scholar 

  20. Weifner T, Kolymbas D (2007) A hypoplastic model for clay and sand. Acta Geotech 2:103–112

    Article  Google Scholar 

  21. Zhang Y, Gallipoli G, Augarde CE (2009) Simulation-based calibration of geotechnical parameters using parallel hybrid moving boundary particle swarm optimization. Comput Geotech 36:604–615

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Pucker.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pucker, T., Grabe, J. Structural optimization in geotechnical engineering: basics and application. Acta Geotech. 6, 41–49 (2011). https://doi.org/10.1007/s11440-011-0134-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-011-0134-7

Keywords

Navigation