Acta Geotechnica

, Volume 6, Issue 1, pp 41–49 | Cite as

Structural optimization in geotechnical engineering: basics and application

Research Paper

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.

Keywords

Geotechnic Hypoplasticity Optimization Topology 

References

  1. 1.
    Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidiscip Optim 30:251–272MathSciNetCrossRefGoogle Scholar
  2. 2.
    Baker R, Garber M (1977) Variational approach to slope stability. Proceedings of the ninth international conference on soil mechanics and foundation engineeringGoogle Scholar
  3. 3.
    Bauer E (2009) Hypoplastic modelling of moisture-sensitive weathered rockfill materials. Acta Geotech 4:261–272CrossRefGoogle Scholar
  4. 4.
    Bendsøe MP (1995) Optimization of structural topology, shape and material. Springer, BerlinGoogle Scholar
  5. 5.
    Guo PJ (2010) Effect of density and compressibility on K0 of cohesionless soils. Acta Geotech 5:225–238MATHCrossRefGoogle Scholar
  6. 6.
    Henke S, Grabe J (2008) Numerical investigation of soil plugging inside open-ended piles with respect to the installation method. Acta Geotech 3:215–223CrossRefGoogle Scholar
  7. 7.
    Huang WX, Wu W, Sun DA, Sloan S (2006) A simple hypoplastic model for normally consolidated clay. Acta Geotech 1:15–27CrossRefGoogle Scholar
  8. 8.
    Kinzler S, König F, Grabe J (2007) Entwurf einer Pfahlgründung unter Anwendung der Mehrkriterienoptimierung. Bauingenieur 82:267–379Google Scholar
  9. 9.
    Krishnan S (2010) A 199-line Matlab code for Pareto-optimal tracing in topology optimization. Struct Multidiscip Optim 42:665–679MathSciNetCrossRefGoogle Scholar
  10. 10.
    Mašín D, Herle I (2007) Improvement of a hypoplastic model to predict clay behaviour under undrained conditions. Acta Geotech 2:261–268CrossRefGoogle Scholar
  11. 11.
    Meier J, Schaedler W, Botgatti L, Schanz T (2008) Inverse paramter identification technique using PSO algorithm applied to geotechnical modeling. J Artif Evol ApplGoogle Scholar
  12. 12.
    Niemunis A, Herle I (1998) Hypoplastic model for cohesionless soils with elastic strain range. Mech Frict Cohesive Mater 2:279–299CrossRefGoogle Scholar
  13. 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 2:113–126CrossRefGoogle Scholar
  14. 14.
    Salciarini D, Tamagnini C (2009) A hypoplastic macroelement model for shallow foundations under monotonic and cyclic loads. Acta Geotech 4:163–176CrossRefGoogle Scholar
  15. 15.
    Sigmund O (1994) Design of material structures using topology optimization, Ph.D. Thesis, Department of Solid Mechanics, Technical University of DenmarkGoogle Scholar
  16. 16.
    Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct MachGoogle Scholar
  17. 17.
    Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 21:120–127CrossRefGoogle Scholar
  18. 18.
    Tejchman J, Górski J (2010) Finite element study of patterns of shear zones in granular bodies during plane strain compression. Acta Geotech 5:95–112CrossRefGoogle Scholar
  19. 19.
    von Wolffersdorff P-A (1996) A hypoplastic relation for granular materials with a predefined limit state surface. Mech Frict Cohesive Mater 1:251–271CrossRefGoogle Scholar
  20. 20.
    Weifner T, Kolymbas D (2007) A hypoplastic model for clay and sand. Acta Geotech 2:103–112CrossRefGoogle Scholar
  21. 21.
    Zhang Y, Gallipoli G, Augarde CE (2009) Simulation-based calibration of geotechnical parameters using parallel hybrid moving boundary particle swarm optimization. Comput Geotech 36:604–615CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Institute of Geotechnical Engineering and Construction ManagementHamburg University of TechnologyHamburgGermany

Personalised recommendations