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.
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References
Arora JS, Wang Q (2005) Review of formulations for structural and mechanical system optimization. Struct Multidiscip Optim 30:251–272
Baker R, Garber M (1977) Variational approach to slope stability. Proceedings of the ninth international conference on soil mechanics and foundation engineering
Bauer E (2009) Hypoplastic modelling of moisture-sensitive weathered rockfill materials. Acta Geotech 4:261–272
Bendsøe MP (1995) Optimization of structural topology, shape and material. Springer, Berlin
Guo PJ (2010) Effect of density and compressibility on K0 of cohesionless soils. Acta Geotech 5:225–238
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
Huang WX, Wu W, Sun DA, Sloan S (2006) A simple hypoplastic model for normally consolidated clay. Acta Geotech 1:15–27
Kinzler S, König F, Grabe J (2007) Entwurf einer Pfahlgründung unter Anwendung der Mehrkriterienoptimierung. Bauingenieur 82:267–379
Krishnan S (2010) A 199-line Matlab code for Pareto-optimal tracing in topology optimization. Struct Multidiscip Optim 42:665–679
Mašín D, Herle I (2007) Improvement of a hypoplastic model to predict clay behaviour under undrained conditions. Acta Geotech 2:261–268
Meier J, Schaedler W, Botgatti L, Schanz T (2008) Inverse paramter identification technique using PSO algorithm applied to geotechnical modeling. J Artif Evol Appl
Niemunis A, Herle I (1998) Hypoplastic model for cohesionless soils with elastic strain range. Mech Frict Cohesive Mater 2:279–299
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
Salciarini D, Tamagnini C (2009) A hypoplastic macroelement model for shallow foundations under monotonic and cyclic loads. Acta Geotech 4:163–176
Sigmund O (1994) Design of material structures using topology optimization, Ph.D. Thesis, Department of Solid Mechanics, Technical University of Denmark
Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach
Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 21:120–127
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
von Wolffersdorff P-A (1996) A hypoplastic relation for granular materials with a predefined limit state surface. Mech Frict Cohesive Mater 1:251–271
Weifner T, Kolymbas D (2007) A hypoplastic model for clay and sand. Acta Geotech 2:103–112
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
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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
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DOI: https://doi.org/10.1007/s11440-011-0134-7