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On finding the optimal distribution of material properties

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Abstract

The compliance of two-dimensional structures is minimized using the elements of the constitutive matrix as design variables. The amount of material to be used is required to be less than a prescribed amount and further constraints on the constitutive matrix are imposed as matrix inequalities. The apparent nonsmoothness of the matrix inequalities is removed by use of a barrier transformation.

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Authors and Affiliations

  1. Department of Lightweight Structures, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    U. T. Ringertz

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  1. U. T. Ringertz
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Ringertz, U.T. On finding the optimal distribution of material properties. Structural Optimization 5, 265–267 (1993). https://doi.org/10.1007/BF01743590

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  • DOI: https://doi.org/10.1007/BF01743590

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