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The non-local model of electromagnetothermomechanics for polarized nonferromagnetic solids is proposed. It takes into account the process of local mass displacement due to structural changes of a physically small element of a body. An approach which takes into account possible irreversibility of the local mass displacement is also proposed. On this basis, we have obtained the rheological constitutive relations for the vectors of the mass displacement and for the polarization. The proposed model allows to study the surface charge kinetics and the formation of near-surface inhomogeneities of the stress-strained state as well as the electric polarization, surface tension and disjoining pressure.
Czasopismo
Rocznik
Tom
Strony
255--255
Opis fizyczny
–-266, Bibliogr. 23 poz.
Twórcy
autor
autor
- Lviv Medical Institute Polishchuka str. 76 Lviv, 79015, Ukraine, vasyl.kondrat@gmail.com
Bibliografia
- 1. A. K. Tagancev, Piezoelectricity and flexoelectricity in crystalline dielectrics, Phys. Rev. B, 34, 5883–5889, 1986.
- 2. R. D Mindlin, Polarization gradient in elastic dielectrics, Int. J. Solids and Struct., 4, 637–642, 1968.
- 3. C. B. Kafadar, Theory of multipoles in classical electromagnetism, Int. J. Engng. Sci., 9, 831–853, 1971.
- 4. J. S. Yang, X. M. Yang, Electric field gradient effect and thin film capacitance, World J. Eng., 2, 41–45, 2004.
- 5. A. C. Eringen, Nonlocal Continuum Field Theories, Springer, New York 2002.
- 6. G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, Elsevier, Amsterdam–New York 1988.
- 7. J. Yang, Review of a few topics in piezoelectricity, Appl. Mech. Rev., 59, 335–345, 2006.
- 8. V. Kondrat, O. Hrytsyna, Linear theories of electromagnetomechanics of dielectrics, Physico-Mathematical Modelling and Informational Technologies, 9, 7–46, 2009 [In Ukrainian].
- 9. Ya. Burak, V. Kondrat, O. Hrytsyna, Subsurface mechanoelectromagnetic phenomena in thermoelastic polarized bodies in the case of local displacements of mass, Materials Science, 43, 4, 449–463, 2007.
- 10. Ya. Burak, V. Kondrat, O. Hrytsyna, An introduction of the local displacements of mass and electric charge phenomena into the model of the mechanics of polarized electromagnetic solids, J. Mech. Mat. Struct., 3, 6, 1037–1046, 2008.
- 11. V. Kondrat, O. Hrytsyna, Equations of thermomechanics of deformable bodies with regard for irreversibility of local displacement of mass, Journal of Mathematical Sciences, 160, 4, 492–502, 2009.
- 12. M. M. Bredov, V. V. Rumyantsev, I. N. Toptyhin, Classic Electrodynamics [In Russian], Nauka, Moscow 1985.
- 13. S. R. De Groot, P. Mazur, Non-equilibrium Thermodynamics, North-Holland Publishing Company, Amsterdam 1962.
- 14. V. Kondrat, T. Nahirnyj, O. Hrytsyna, Formation and intercoupling the nearsurface inhomogeneities in the elastic layer taking into account an irreversibility of the local displacement of mass [in Ukrainian], Mechanical Engineering, 3, 129, 31–36, 2008.
- 15. V. Kondrat, O. Hrytsyna, The equations of electro-magneto-thermo-mechanics of polarized nonferromagnetic solids, taking into account a local displacement of mass [In Ukrainian], Physico-Mathematical Modelling and Informational Technologies, 8, 69–83, 2008.
- 16. Ye. Chapla, S. Kondrat, O. Hrytsyna, V. Kondrat, On electromechanical phenomena in thin dielectric films, Task Quarterly, 13, 1–2, 145–154, 2009.
- 17. V. F. Kondrat, O. R. Hrytsyna, Mechanoelectromagnetic interaction in isotropic dielectrics with regard to the local displacement of mass, Journal Mathematical Sciences, 162, 1, 150–158, 2010.
- 18. C. A. Mead, Anomalous capacitance of thin dielectric structures, Phys. Rev. Lett., 6, 545–546, 1961.
- 19. R. D. Mindlin, Elasticity, Piezoelectricity and crystal lattice dynamics, J. Elast., 2, 4, 217–282, 1972.
- 20. J. S. Yang, Thin film capacitance in case of a nonlocal polarization law, Int. J. Appl. Electromagn. Mech., 8, 307–314, 1997.
- 21. X. M. Yang, Y. T. Hu, J. S. Yang, Electric field gradient effects in anti-plane problems of polarized ceramics, Int. J. Solids and Struct., 41, 24–25, 6801–6811, 2004.
- 22. B. V. Deryagin, N. V. Churayev, New Properties of Fluids [in Russian], Nauka, Moscow 1971.
- 23. B. V. Deryagin, N. V. Churayev, V. M. Muller, Surface Forces [in Russian], Nauka, Moscow 1985.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT4-0010-0020