Materials Science

, Volume 47, Issue 4, pp 535–544 | Cite as

Equations of local gradient electromagnetothermomechanics of dielectrics with regard for polarization inertia

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The previously obtained relations of the local gradient theory of electromagnetothermomechanics of polarized nonferromagnetic bodies are generalized with regard for polarization inertia. We obtain the corresponding main system of equations of the model, written for the potentials of displacement vector and electromagnetic field vectors as well as the potential μ′π, which takes into account the influence of local mass displacement on the internal energy of the body. The Lorentz gauge condition is generalized. We establish that taking the polarization inertia into account leads to the appearance of dispersion of the electromagnetic wave velocity in the body and additional dynamic components in differential equations connecting the potential μ′π and scalar potentials of the displacement vector and electromagnetic field vectors.

Keywords

interrelated electromagnetothermomechanical processes local mass displacement dielectrics nonlocality polarization inertia 
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© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Center of Mathematical Modeling, Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine
  2. 2.Pidstryhach Institute for Applied Problems of Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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