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.
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Keywords
Local gradient theory, nonferromagnetic dielectrics,
electrothermoelasticity, local mass displacement,
initial-boundary-value problems, uniqueness and reciprocity
theorems
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
Center of Mathematical Modeling of
Pidstryhach Institute for Applied Problems of Mechanics and
Mathematics
National Academy of Sciences of Ukraine
Lviv
Ukraine