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On the optimal distribution of elastic moduli of a nonhomogeneous body

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Abstract

The problem of the optimal distribution of elastic moduli is considered for a linearly clastic inhomogeneous body. The cost function is taken to be the work produced by the surface tractions. Necessary conditions for stationary behavior and the Weierstrass condition are obtained. The difference between maximum and minimum problems is underlined, and pecularities connected with different cost functions are discussed.

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References

  1. Mroz, Z.,Optimal Design of Composite Materials, International Journal of Solids and Structures, Vol. 6, pp. 859–870, 1970.

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  2. Klosowicz, B., andLurie, K. A.,On the Optimal Nonhomogeneity of a Torsional Elastic Bar, Archives de Méchanique Appliquée, Vol. 24, pp. 239–249, 1972.

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  3. Lurie, K. A.,On the Optimal Distribution of the Specific Resistance Tensor of the Working Substance in the Magnetohydrodynamic Channel (in Russian), PMM, Vol. 34, pp. 270–291, 1970.

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Authors and Affiliations

  1. Electronic Data Processing Center, ETOB, Ministry of Building Industry, Warsaw, Poland

    B. Klosowicz (Research Engineer)

  2. A. F. Joffe Institute of Physics and Technology, Leningrad, USSR

    K. A. Lurie (Associate Professor)

Authors
  1. B. Klosowicz
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  2. K. A. Lurie
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Klosowicz, B., Lurie, K.A. On the optimal distribution of elastic moduli of a nonhomogeneous body. J Optim Theory Appl 12, 32–42 (1973). https://doi.org/10.1007/BF00934834

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  • DOI: https://doi.org/10.1007/BF00934834

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