Materials Science

, Volume 41, Issue 4, pp 520–530 | Cite as

General Expressions for the Description of the Influence of Stresses on Dielectric Permittivity or Magnetic Permeability

  • I. B. Prokopovych


We construct general expressions for the description of the influence of initial stresses on the dielectric permittivity and magnetic permeability of materials capable of taking into account various nonlinear effects and the phenomena of inherent or induced anisotropy. It is shown that the indicated influence is proportional to the tensor modulus of striction of the material and depends on the piezoeffect modulus. However, the last dependence is insignificant if the inverse piezoeffect is comparable with striction.


General Expression Permeability Anisotropy Structural Material Dielectric Permittivity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    I. B. Prokopovych, “Construction of the elasticity potential from the potential of state and the complete system of determining equations of elasticity,” Mashinoznavstvo, No. 10, 8–13 (2002).Google Scholar
  2. 2.
    I. B. Prokopovych, “Potentials and equations of state for two specific reference configurations,” Fiz.-Khim. Mekh. Mater., 39, No. 2, 25–32 (2003).Google Scholar
  3. 3.
    G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, North-Holland, Amsterdam (1988).Google Scholar
  4. 4.
    C. Truesdell, A First Course in Rational Continuum Mechanics, J. Hopkins University, Baltimore (1972).Google Scholar
  5. 5.
    J. F. Nye, Physical Properties of Crystals. Their Representation by Tensors and Matrices, Clarendon Press, Oxford (1964).Google Scholar
  6. 6.
    S. Tikadzumi, Physics of Ferromagnetism. Magnetic Characteristics and Practical Applications [in Japanese], Syokabo, Tokyo (1978).Google Scholar
  7. 7.
    I. B. Prokopovych, “Differential relations between the changes in the strained state and strains,” Fiz.-Khim. Mekh. Mater., 39, No. 4, 47–52 (2003).Google Scholar
  8. 8.
    I. B. Prokopovych, “Mathematical description of perturbations of the stress-strain state,” Fiz.-Khim. Mekh. Mater., 40, No. 1, 16–20 (2004).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • I. B. Prokopovych
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian Academy of SciencesLvivUkraine

Personalised recommendations