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Local gradient theory
of dielectrics with polarization inertia and irreversibility
of local mass displacement
Vasyl Kondrat and Olha Hrytsyna |
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Vol. 7 (2012), No. 3, 285–296
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Abstract |
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A complete system of equations of the local gradient theory of electromagnetothermomechanics of polarized nonferromagnetic isotropic solids is obtained with regard to polarization inertia and the irreversibility of the processes of local mass displacement and polarization. It is shown that in this case the constitutive relations for specific vectors of the local mass displacement and polarization are rheological and contain time derivatives of the first and higher orders. A corresponding key system of equations for the isothermal approximation is obtained. This system is also written relatively to scalar and vector potentials of the displacement vector, vectors of the electromagnetic field, and a reduced energy measure of the effect of the mass displacement on the internal energy. The Lorentz gauge is generalized in such a way that equations for the vector potential of the electromagnetic field and for the generalized scalar potential are not coupled and have similar structures. The effect of polarization inertia and the above-mentioned irreversibility of processes on the interaction of the fields is analyzed. |
Keywords
coupled electromagnetothermomechanical processes, local
displacement of mass, dielectrics, nonlocal theory,
irreversibility, inertia of polarization
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Milestones
Received: 24 January 2011
Revised: 4 July 2011
Accepted: 15 December 2011
Published: 6 May 2012
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Authors |
| Vasyl Kondrat | |
| Center of Mathematical Modeling of
the Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine 15 D. Dudajeva St. 15 79005 Lviv Ukraine |
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| Olha Hrytsyna | |
| Center of Mathematical Modeling of
the Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine 15 D. Dudajeva St. 15 79005 Lviv Ukraine |
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| http://cmm.lviv.ua/hrytcyna.html | |
