Estimates for the trace of the averaged matrix

  • V. V. Zhikov
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    V. V. Zhikov, S. M. Kozlov, O. A. Oleinik, and Kha T'en Ngoan, “Averaging and G-convergence of differential operators,” Usp. Mat. Nauk,34, No. 5, 65–133 (1979).Google Scholar
  2. 2.
    N. V. Bakhvalov and G. P. Panasenko, The Averaging of Processes in Periodic Media [in Russian], Nauka, Moscow (1984).Google Scholar
  3. 3.
    V. L. Berdichevskii, Variational Principles of Continuum Mechanics [in Russian], Nauka, Moscow (1983).Google Scholar
  4. 4.
    R. Kristensen (R. Christensen), Introduction to the Mechanics of Composites [Russian translation], Mir, Moscow (1982).Google Scholar
  5. 5.
    T. D. Shermergor, Theory of Elasticity of Micrononhomogeneous Media [in Russian], Nauka, Moscow (1977).Google Scholar
  6. 6.
    Y. Kantor and D. J. Bergman, “Improved rigorous bounds on the effective elastic moduli of a composite material,” J. Mech. Phys. Solids,32, No. 1, 41–62 (1984).Google Scholar
  7. 7.
    K. Golden and G. Papanicolaou, “Bounds for effective parameters of heterogeneous media by analytic continuation,” Commun. Math. Phys.,90, 473–491 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • V. V. Zhikov
    • 1
  1. 1.Vladimir State Pedagogical InstituteUSSR

Personalised recommendations