Abstract
This paper suggests an application of a direct procedure initiated in Ref. 1 to problems of optimal layout for plates. Optimal microstructures are explicity indicated for a number of special cases, particularly for the case where the original and conjugate strain tensors are coaxial.
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This paper is dedicated to Professor Frithiof I. Niordson on the occasion of his 70th birthday. The research has been supported by AFOSR Grant No. 90-0268 and NSF Grant DMS-93-058040. The author acknowledges fruitful discussions with Andrei V. Cherkaev, Leonid V. Gibiansky, and Robert P. Lipton.
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Lurie, K.A. Direct relaxation of optimal layout problems for plates. J Optim Theory Appl 80, 93–116 (1994). https://doi.org/10.1007/BF02196595
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DOI: https://doi.org/10.1007/BF02196595