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Part of the book series: Applied Mathematical Sciences ((AMS,volume 140))

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Abstract

Here we survey the results of the bounding of elastic moduli of a two-dimensional two-phase composite. These bounds are physically interesting because they show the limits of improvement in the properties of a composite due to variation of its structure. They are important for the optimal design of materials and structures. The examples herein demonstrate the use and development of the translation method and the laminate technique.

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© 2000 Springer-Verlag Berlin Heidelberg

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Cherkaev, A. (2000). Bounds on Effective Properties. In: Variational Methods for Structural Optimization. Applied Mathematical Sciences, vol 140. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1188-4_16

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  • DOI: https://doi.org/10.1007/978-1-4612-1188-4_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7038-6

  • Online ISBN: 978-1-4612-1188-4

  • eBook Packages: Springer Book Archive

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