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Some general
theorems for local gradient theory of electrothermoelastic
dielectrics
Olha Hrytsyna and Halyna Moroz |
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Vol. 14 (2019), No. 1, 25–41
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Abstract |
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Using the basic equations of local gradient theory of electrothermoelastic nonferromagnetic polarized solids, which accounts for the local mass displacement and its effect on mechanical, thermal and electromagnetic fields, the governing set of equations is obtained for a linear approximation. On this basis, the coupled initial-boundary-value problems corresponding to this gradient-type theory are formulated. The reciprocity and uniqueness theorems for non-stationary problems of the local gradient electrothermoelasticity are proved. |
Keywords
Local gradient theory, nonferromagnetic dielectrics,
electrothermoelasticity, local mass displacement,
initial-boundary-value problems, uniqueness and reciprocity
theorems
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Milestones
Received: 6 February 2018
Revised: 12 July 2018
Accepted: 25 November 2018
Published: 7 April 2019
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Authors |
| Olha Hrytsyna | |
| Center of Mathematical Modeling of
Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics National Academy of Sciences of Ukraine Lviv Ukraine |
Institute of Construction and
Architecture Slovak Academy of Sciences Bratislava Slovak Republic |
| Halyna Moroz | |
| Center of Mathematical Modeling of
Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics National Academy of Sciences of Ukraine Lviv Ukraine |
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