Computational and Structural Optimization

  • Georgios E. Stavroulakis
Part of the Applied Optimization book series (APOP, volume 46)


Optimization deals with the determination of the extremum or the extrema of a given function over the space where the function is defined or over a subset of it. Several optimization problems arise in nature and they are known, mainly for historical reasons, as principles. The principles of minimum potential energy in statics, the maximum dissipation principle in dissipative media and the least action principle in dynamics are some examples (see, among others, [Hamel, 1949], [Lippmann, 1972], [Cohn and Maier, 1979], [de Freitas, 1984], [de Freitas and Smith, 1985], [Panagiotopoulos, 1985], [Hartmann, 1985], [Sewell, 1987], [Bazant and Cedolin, 1991]). Furthermore, mathematical optimization is tightly connected with optimal structural design, control and identification. Applications include contemporary questions in biomechanics, like the understanding of the inner structure in bones [Wainwright and, 1982] or of the shape in trees [Mattheck, 1997].


Structural Optimization Linear Complementarity Problem Equilibrium Constraint Optimal Design Problem Lower Level Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Georgios E. Stavroulakis
    • 1
  1. 1.Institute of Applied Mathematics, Department of Civil EngineeringTechnical University Carolo WilhelminaBraunschweigGermany

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