Conclusions
Examining the principles elucidated, we note that the thermodynamic potentials G1 and G2 enter into them. It is possible to construct analogous functionals (there will be seven) in which the functions W and G take part, and these will sometimes be more convenient in practice. It proves possible to formulate the problem in the form of variational principles because the differential operators in the needed groups of equations are formally adjoint or self-adjoint (symmetric).
These 15 variational principles reduce to the eight principles elucidated in [6] for the particular case of no coupled electromechanical interactions in the medium, and are valid for a “pure” theory of elasticity.
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Literature Cited
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Additional information
Leningrad Polytechnical Institute. Translated from Prikladnaya Mekhanika, Vol. 7, No. 9, pp. 129–133, September, 1971.
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Vekovishcheva, I.A. Variational principles in the theory of electroelasticity. Soviet Applied Mechanics 7, 1049–1052 (1971). https://doi.org/10.1007/BF00886946
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DOI: https://doi.org/10.1007/BF00886946