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Numerical Structural Optimization via a Relaxed Formulation

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Shape Optimization and Free Boundaries

Part of the book series: NATO ASI Series ((ASIC,volume 380))

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Abstract

The basic problem of structural optimization is to choose the shape or composition of a structure so as to optimize some feature of its elastic behavior. The use of a relaxed formulation involving composite materials puts the theory on asound mathematical basis. It also leads to better designs than the traditional formulation, because the relaxed formulation has fewer local minima. These lectures explain the relaxed viewpoint as it applies to shape optimization of two-dimensional structures for minimum compliance in plane stress. They draw heavily from recent joint work with G. Allaire.

Support is gratefully acknowledged from NSF Grant DMS-9102829, ARO contract DAAL03-89-K-0039, and AFOSR Grant 90-0090.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA

    Robert V. Kohn

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  1. Robert V. Kohn
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Editors and Affiliations

  1. Centre de recherches mathématiques, Université de Montréal, Montréal, Québec, Canada

    Michel C. Delfour

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© 1992 Kluwer Academic Publishers

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Kohn, R.V. (1992). Numerical Structural Optimization via a Relaxed Formulation. In: Delfour, M.C., Sabidussi, G. (eds) Shape Optimization and Free Boundaries. NATO ASI Series, vol 380. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2710-3_5

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  • DOI: https://doi.org/10.1007/978-94-011-2710-3_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-1944-3

  • Online ISBN: 978-94-011-2710-3

  • eBook Packages: Springer Book Archive

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