Abstract
There has recently been a renewal of interest in bounding the effective moduli of composite materials. Several factors are responsible, including attention to applications in structural optimization [1,18,20,28]. The developments of the past several years include new ways of applying old variational principles such as those of Hashin and Shtrikman. They also include two entirely new methods for proving bounds: one based on compensated compactness, and the other on explicit representation formulas.
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Kohn, R.V., Milton, G.W. (1986). On Bounding the Effective Conductivity of Anisotropic Composites. In: Ericksen, J.L., Kinderlehrer, D., Kohn, R., Lions, JL. (eds) Homogenization and Effective Moduli of Materials and Media. The IMA Volumes in Mathematics and its Applications, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8646-9_5
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