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Electro-elastic fields of a plane thermal inclusion in isotropic dielectrics with polarization gradient

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Języki publikacji
EN
Abstrakty
EN
Coupled electro-elastic fields excited by a thermal inclusion in an isotropic dielectric medium with polarization gradient are studied in the framework of the Mindlin theory. An inclusion represents a plane heated layer differing from the outside medium only by its temperature. A series of problems are considered: an inclusion in an infinite medium, at a surface of a half-infinite body, in the middle or at the surface of a plate with free or clamped faces. The found Mindlin's corrections to the fields of mechanical displacements, strains and stresses are expectably small. However, the arising accompanied electric fields localized in the narrow zones at surfaces and interfaces can have rather high amplitudes.
Rocznik
Strony
33--57
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
  • The Polish-Japanese Institute of Information Technology, ul. Koszykowa 86, 02-008 Warsaw, Poland, nowacki@pjwstk.edu.pl
Bibliografia
  • 1. R.D. Mindlin, Polarization gradient in elastic dielectrics, Int. J. Solids Struct. 4, 637–642, 1968.
  • 2. R.D. Mindlin, Elasticity, piezoelectricity and crystal lattice dynamics, J. Elasticity, 2, 4, 217–282, 1972.
  • 3. R.A. Toupin, The elastic dielectrics, J. Rat. Mech. Anal., 5, 849–915, 1956.
  • 4. E.S. Suhubi, Elastic dielectrics with polarization gradient, Int. J. Engng Sci., 7, 993–997, 1969.
  • 5. K.L. Chowdhury, P.G. Glockner, On thermoelastic dielectrics, Int. J. Solids Structures 13, 1173–1182, 1977.
  • 6. K.L. Chowdhury, M. Epstein, P.G. Glockner, On the thermodynamics of nonlinear elastic dielectrics, Report No. 119, Department of Mechanical Engineering, University of Calgary, March, 1978.
  • 7. J.P. Nowacki, P.G. Glockner, Constitutive equations of the thermoelastic dielectrics, [in:] New Problems in Mechanics of Continua, O. Brulin and R.K.T. Hsieh [Eds.], University of Waterloo Press, 17–27, 1983.
  • 8. W. Nowacki, Electro-magnetic effects in deformable solids [in Polish], PWN, Warszawa 1983.
  • 9. R.D. Mindlin, On the electrostatic potential of a point charge in a dielectric solid, Int. J. Solids Struct., 9, 233–235, 1973.
  • 10. R.D. Mindlin, Electromagnetic radiation from a vibrating, elastic sphere, Int. J. Solids Struct., 10, 1307–1314, 1974.
  • 11. K.L. Chowdhury, P.G. Glockner, Point charge in the interior of an elastic dielectric half-space, Int. J. Engng. Sci., 15, 481–493, 1977.
  • 12. K.L. Chowdhury, P.G. Glockner, Some exact solutions in elastic dielectrics, Bull. Acad. Polon. Sci., Serie Sci. Tech., 27, 5/6, 1979.
  • 13. J. Schwarz, Solutions of equations of equilibrium of elastic dielectrics, Int. J. Solids Struct., 5, 1209–1220, 1969.
  • 14. A. Askar, P.C.Y. Lee, A.S. Carmark, The effect of surface curvature and discontinuity on the surface energy density and other induced fields in elastic dielectrics with polarization gradient, Int. J. Solids Struct., 7, 523–536, 1971.
  • 15. P.F. Gou, Effects of gradient of polarization on stress concentration at a cylindrical hole in an elastic dielectric, Int. J. Solids Struct., 7, 1467–1476, 1971.
  • 16. J.P. Nowacki, C. Trimarco, Note on thermal inclusion in elastic dielectric material, Atti Sem. Mat. Fis. Univ. Modena 38, 371–378, 1989.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0004-0003
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