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On a class of optimum problems in structural design

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Abstract

The paper deals with the existence of solutions for a class of optimal design problems. The notion of relaxation of an integral functional with respect toG-convergence is introduced, and a general integral representation theorem is obtained for the relaxed functional. For a particular class of functionals, this integral representation is computed explicitly.

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Authors and Affiliations

  1. Institute of Theoretical and Applied Mechanics, University of Udine, Udine, Italy

    E. Cabib (Assistant Professor of Strength of Materials)

  2. SISSA, Trieste, Italy

    G. Dal Maso (Associate Professor of Mathematical Analysis)

Authors
  1. E. Cabib
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  2. G. Dal Maso
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Additional information

Communicated by R. Conti

This work has been realized in a National Research Project in Mathematics supported by the Ministero della Pubblica Istruzione (Italy).

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Cabib, E., Dal Maso, G. On a class of optimum problems in structural design. J Optim Theory Appl 56, 39–65 (1988). https://doi.org/10.1007/BF00938526

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