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An introduction of
the local displacements of mass and electric charge phenomena
into the model of the mechanics of polarized electromagnetic
solids
Yaroslav Burak, Vasyl Kondrat and Olha Hrytsyna |
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Vol. 3 (2008), No. 6, 1037–1046
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Abstract |
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Using the fundamental principles of thermodynamics of irreversible processes and continuum mechanics and electrodynamics, a complete set of equations of the thermomechanics of an electroconducting polarized medium has been obtained by taking into account the local displacements of mass and electric charge. To determine the thermodynamic state, two additional state parameters, namely the induced mass and the gradient of the energy measure of mass displacement, have been introduced. Two other parameters, the energy measure of mass displacement and the mass displacement vector, have been coupled to the aforementioned parameters. Such an extension of the state parameter space allows one to describe the near-surface inhomogeneity of the stress-strained state and the electric polarization as well as the surface charges and the electromagnetic signals induced by the surface formation. |
Keywords
coupled electro-magneto-thermo-mechanical processes,
electroconducting polarized nonferromagnetic solids, local
displacements of mass and electric charges, interfacial
phenomena
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Milestones
Received: 7 February 2008
Accepted: 25 March 2008
Published: 1 August 2008
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Authors |
| Yaroslav Burak | |
| Center of Mathematical Modeling of
the Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine Dudajev str. 15, 79005 Lviv Ukraine |
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| http://cmm.lviv.ua | |
| Vasyl Kondrat | |
| Center of Mathematical Modeling of
the Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine Dudajev str. 15, 79005 Lviv Ukraine |
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| http://cmm.lviv.ua | |
| Olha Hrytsyna | |
| Center of Mathematical Modeling of
the Institute of Applied Mathematics and Mechanics National Academy of Sciences of Ukraine Dudajev str. 15, 79005 Lviv Ukraine |
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| http://cmm.lviv.ua | |
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