Skip to main content
SpringerLink
Log in

Calculation of effective parameters of thermoelectromagnetoelastic layered media

  • Solid State
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A system of layered multiferroic materials is averaged with allowance for thermal properties of layers. Matrix averaging is used to obtain effective parameters of the system. Formulas that make it possible to characterize the effect of magnetoelectroelastic coefficients of layers on thermal parameters are derived. The presence of pyrocoefficients in the system is possible even in the absence of the coefficients for the layers. The heat capacity of the system ceases to be an additive quantity and becomes dependent on permittivity and permeability of the layers owing to the interaction of the fields.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory (Springer, Berlin, 1980).

    MATH  Google Scholar 

  2. N. S. Bakhvalov and G. P. Panasenko, Homogenisation: Averaging Processes in Periodic Media (Kluwer Academic, Dordrecht, 2012).

    MATH  Google Scholar 

  3. L. A. Molotkov, Examination of Wave Propagation in Porous and Fractured Media Based on Effective Biot Models and Models of Layered Media (Nauka, St. Petersburg, 2001).

    Google Scholar 

  4. A. S. Starkov and I. A. Starkov, J. Exp. Theor. Phys. 119, 861 (2014).

    Article  ADS  Google Scholar 

  5. C. W. Nan, M. I. Bichurin, S. Dong, D. Viehland, and G. Srinivasan, J. Appl. Phys. 103, 031101 (2008).

    Article  ADS  Google Scholar 

  6. J. Ma, J. Hu, Z. Li, and C. W. Nan, Adv. Mater. 23, 1062 (2011).

    Article  Google Scholar 

  7. A. P. Pyatakov and A. K. Zvezdin, Phys.-Usp. 55, 557 (2012).

    Article  ADS  Google Scholar 

  8. M. Bichurin and D. Viehland, Magnetoelectricity in Composites (Pan Stanford, Singapore, 2011).

    Google Scholar 

  9. I. A. Starkov and A. S. Starkov, Solid State Commun. 226 (10), 5 (2016).

    Article  ADS  Google Scholar 

  10. J. Li, Mech. Mater. 36, 949 (2004).

    Article  Google Scholar 

  11. I. B. Vendik and O. G. Vendik, Tech. Phys. 58, 1 (2013).

    Article  Google Scholar 

  12. V. I. Aleshin, Tech. Phys. 52, 1155 (2007).

    Article  Google Scholar 

  13. V. E. Nazaikinskii, V. E. Shatalov, and B. Yu. Sternin, Methods of Noncommutative Analysis: Theory and Applications (Walter de Gruyter, Berlin, 1996), p. 74.

    Book  MATH  Google Scholar 

  14. I. A. Starkov and A. S. Starkov, J. Nanophotonics 10, 033503 (2016).

    Article  ADS  Google Scholar 

  15. H. W. Lord and Y. Shulman, J. Mech. Phys. Solids 15, 299 (1967).

    Article  ADS  Google Scholar 

  16. D. S. Chandrasekharaiah, Acta Mech. 71, 39 (1988).

    Article  Google Scholar 

  17. P. Kondaiah, K. Shankar, and N. Ganesan, Coupled Syst. Mech. 2, 1 (2013).

    Article  Google Scholar 

  18. M. Zgonik, P. Bernasconi, M. Duelli, R. Schlesser, P. Gunter, M. H. Garrett, D. Rytz, Y. Zhu, and X. Wu, Phys. Rev. B 50, 5941 (1994).

    Article  ADS  Google Scholar 

  19. S. M. Rytov, J. Exp. Theor. Phys. 2, 466 (1956).

    MathSciNet  Google Scholar 

  20. G. N. Dul’nev, Heat and Mass Exchange in Electronics (Vysshaya Shkola, Moscow, 1984).

    Google Scholar 

  21. A. S. Starkov, O. V. Pakhomov, and I. A. Starkov, JETP Lett. 91, 507 (2010).

    Article  ADS  Google Scholar 

  22. O. G. Vendik, Phys. Solid State 51, 1529 (2009).

    Article  ADS  Google Scholar 

  23. A. L. Kholkin, V. A. Trepakov, and G. A. Smolenskii, JETP Lett. 35, 124 (1982).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. ITMO University, St. Petersburg, 191002, Russia

    A. S. Starkov, I. V. Kudryavtseva, K. A. Starkov & K. V. Korzenkov

Authors
  1. A. S. Starkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Kudryavtseva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. A. Starkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. K. V. Korzenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. S. Starkov.

Additional information

Original Russian Text © A.S. Starkov, I.V. Kudryavtseva, K.A. Starkov, K.V. Korzenkov, 2017, published in Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 87, No. 7, pp. 1027–1032.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Starkov, A.S., Kudryavtseva, I.V., Starkov, K.A. et al. Calculation of effective parameters of thermoelectromagnetoelastic layered media. Tech. Phys. 62, 1043–1048 (2017). https://doi.org/10.1134/S1063784217070234

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784217070234

Search

Navigation