PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Some theorems of incremental thermoelectroelasticity

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We extend to incremental thermoelectroelasticity with biasing fields certain classical theorems, which have been stated and proved in linear thermopiezoelectricity referred to a natural configuration. A uniqueness theorem for the solutions to the initial boundary value problem, the generalized Hamilton principle and the theorem of reciprocity of work are deduced for incremental fields, superposed on finite biasing fields in a thermoelectroelastic body.
Rocznik
Strony
49--72
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Department of Mathematical Methods and Models for Scientific Aplications University of Padova via Trieste 63, 35121 Padova, Italy, montanaro@dmsa.unipd.it
Bibliografia
  • 1. W. NOWACKI, A Reciprocity Theorem for Coupled Mechanical and Thermoelectric Fields in Piezoelectric Crystals, Proc. Vibrations Probl., 6, 1, 3-11, 1965.
  • 2. W. NOWACKI, Some general Theorems of Thermopiezoelectricity, J. of Thermal Stresses, 1, 171-182, 1978.
  • 3. J.Y. Li, Uniqueness and reciprocity theorems for linear thermo-electro-magnetoelasticity, Q. J. Mech. Appl. Math., 56, 35-43, 2003.
  • 4. M. AOUADI, The Generalized Theory of Thermo-Magnetoelectroelasticity, Technische Mechanik, 27, 2, 133-146, 2007.
  • 5. l.M. MULLER, The coldness a universal function in thermoelastic bodies, Arch. Rational Mech. Anal., 41, 319-332, 1971.
  • 6. D. IBS AN, Thennopiezoelectricity without energy dissipation, Proc. R. Soc. A, 631, 133-656, 2007.
  • 7. V.D. KUPRADZE, T.G. GEGELIA, M.O. BASHELEISHVILI, T.V. BURCHULADZE, Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North-Holland, Amsterdam 1979.
  • 8. A. MORRO, M. FABRIZIO, Electromagnetism of Continuous Media, Oxford University Press, Oxford 2003.
  • 9. V.D. GOLEM AN, E.H. DILL, Thermodynamic restrictions on the constitutive equations of electromagnetic theory, Z. Angew. Math. Phys., 22, 691-702, 1971.
  • 10. G. AMENDOLA, On thermodynamic conditions for the stability of a thermoelectromagnetic system, Math. Meth. Appl., 23, 17-39, 2000.
  • 11. G. AMENDOLA, Linear stability for a thermoelectromagnetic material with memory, Math. Mech. Appl., 59, 67-84, 2001.
  • 12. H.F. TIERSTEN, On the Nonlinear Equations of Thermoelectroelasticity, Int. J. Engng. Sci., 9, 587-604, Pergamon Press, 1971.
  • 13. J.S. YANG, Equations for Small Fields Superposed on Finite Biasing Fields in a Ther-moelectroelastic Body, IEEE Transactions on Ultrasonics, Ferroelectricts, and Frequency Control, 50, 2, 187-192, 2003.
  • 14. A. MONTANARO, On the Constitutive Relations in Thermo-Electroelasticity, Technical Report No. 102 October 2009, DMMMSA (Dep. Math. Meth. Models Appl. Sci.), Univ. Padua; see the web-pages arXiv:0910.1344 or http://paduaresearch.cab.unipd.it/2184/.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATB-0001-0047
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.