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G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation

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An Introduction to the Mathematical Theory of Dynamic Materials

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 15))

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References

  1. Lurie, K.A.: A stable spatio-temporal G-closure and G_m-closure of a set of istoropic dielectrics with respect to one-dimensional wave propagation. Wave Motion, 40, 95-110 (2004)

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  2. Dykhne, A.M.: Conductivity of a two-dimensional two-phase systems. Sov. Phys. JETP, 32, 63-65 (1971)

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  3. Lurie, K.A., and Cherkaev, A.V.: G-closure of a set of anisotropically conducting media in the two-deimensional case. J. Optim. Theory and Applications, 42, 1984, 283-304; Corrig. 53, 319 (1987)

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  4. Lurie, K.A., and Cherkaev, A.V.: Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion. Proc. R. Soc. Edinburgh A 99, no. 1-2, 71-87 (1984)

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  5. Lurie, K.A., Fedorov, A.V., and Cherkaev, A.V.: On the existence of solutions to some problems of optimal design for bars and plates. Ioffe Institute Tech. Rep. 668, Leningrad, 43 pp (1980); also J. Optim. Theory and Applications, 42, 247-282 (1984)

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Lurie, K.A. (2007). G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation. In: An Introduction to the Mathematical Theory of Dynamic Materials. Advances in Mechanics and Mathematics, vol 15. Springer, Boston, MA. https://doi.org/10.1007/0-387-38280-1_4

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