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Averaged characteristics of a nonlinear composite

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The question on the calculation of certain effective characteristics of a nonlinear composite expressed in terms of integrals of the solution of a cellular problem is considered. The problem for the case of weak nonlinearities or weak fields has been investigated. Calculations of the effective characteristics of the composite have been made.

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References

  1. A. K. Tagantsev, V. O. Sherman, K. F. Astafiev, J. Venkatesh, and N. Setter, Ferroelectric materials for microwave tunable applications, J. Electroceram., 11, 5–66 (2003).

    Article  Google Scholar 

  2. I. Babushka, B. Anderson, B. P. Smith, and K. Levin, Damage analysis of fiber composites, Pt. I. Statistical analysis on fiber scale, Comput. Methods Appl. Mech. Eng., 172, 27–77 (1999).

    Article  Google Scholar 

  3. L. Gao and Z. Li, Effective medium approximation for two-component nonlinear composites with shape distribution, J. Phys. Condensed Matter., 15, 4397–4409 (2003).

    Article  Google Scholar 

  4. D. Stroud and P. M. Hui, Nonlinear susceptibility of granular materials, Phys. Rev. B, 37, No. 15, 8719–8724 (1988).

    Article  Google Scholar 

  5. A. L. Kalamkarov and A. G. Kolpakov, Analysis, Design and Optimization of Composite Structures, John Wiley & Sons, Chichester, New York (1997).

    MATH  Google Scholar 

  6. A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland Publ. Comp., Amsterdam (1978).

    MATH  Google Scholar 

  7. V. L. Berdichevskii, Variational Principles of the Mechanics of a Continuous Medium [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Gostekhizdat, Moscow (1957).

    Google Scholar 

  9. A. A. Kolpakov, Numerical verification of the existence of the energy-concentration effect in a high-contrast highly filled composite material, Inzh.-Fiz. Zh., 80, No. 4, 166–172 (2007).

    Google Scholar 

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Correspondence to A. G. Kolpakov.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 4, pp. 767–777, July–August, 2008.

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Kolpakov, A.G. Averaged characteristics of a nonlinear composite. J Eng Phys Thermophy 81, 801–812 (2008). https://doi.org/10.1007/s10891-008-0090-8

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  • DOI: https://doi.org/10.1007/s10891-008-0090-8

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