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Nonconvex Optimization in Mechanics pp 159–173Cite as

Optimal Design Problems

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Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 21))

Abstract

In this Section related problems which arise in the optimal design of structures are formulated as two level optimization problems and are numerically treated by multilevel iterative techniques. Certain classes of optimal material design problems and topology optimization problems formulated by means of the homogenization approach can be treated with this method. This approach can also be used for the rigourous formulation of optimality criteria methods for optimal design of structures. These methods are popular in engineering applications because, roughly speaking, they decompose the difficult optimal design problem into a number of classical structural analysis problems with appropriate, decentralized (at the finite element level) modification rules.

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Authors and Affiliations

  1. Institute of Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

    E. S. Mistakidis

  2. Institute of Applied Mechanics, Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germany

    G. E. Stavroulakis

Authors
  1. E. S. Mistakidis
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  2. G. E. Stavroulakis
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© 1998 Springer Science+Business Media Dordrecht

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Mistakidis, E.S., Stavroulakis, G.E. (1998). Optimal Design Problems. In: Nonconvex Optimization in Mechanics. Nonconvex Optimization and Its Applications, vol 21. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5829-3_5

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  • DOI: https://doi.org/10.1007/978-1-4615-5829-3_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7672-9

  • Online ISBN: 978-1-4615-5829-3

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