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Green’s function for an anisotropic piezoelectric half-space bonded to a thin piezoelectric layer

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Języki publikacji
EN
Abstrakty
EN
The Green’s function for an anisotropic piezoelectric half-space bonded to a thin piezoelectric layer subject to a generalized line force and a generalized line dislocation is presented. The thickness of a thin layer is assumed to be small compared with a reference length. Thus, the existence of the layer is replaced by effective boundary conditions to avoid finding solutions in the layer. Combining with the Stroh formalism gives explicit solutions in a more compact form.
Rocznik
Strony
3--17
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
  • Department of Innovations in Digital Living Lan Yang Institute of Technology Touchen, Ilan County, Taiwan 261, R.O.C.
Bibliografia
  • 1. J.P. Nowacki, V.I. Alshits, A. Radowicz, Green’s function for a piezoelectric layersubstrate structure with a general line defect, Int. J. Appl. Electromagn. Mech. 14, 429–433, 2001/2002.
  • 2. J.P. Nowacki, V.I. Alshits, A. Radowicz, 2D electro-elastic fields in a piezoelectric layer-substrate structure, Int. J. Engng. Sci., 40, 2057–2076, 2002.
  • 3. S.V. Gopinathan, V.V. Varadan, V.K. Varadan, A review and critique of theories for piezoelectric laminates, Smart Mater. Struct., 9, 24–48, 2000.
  • 4. P. Bovik, On the modeling of thin interface layers in elastic and acoustic scattering problems, Q. J. Mech. Appl. Math., 47, 17–40, 1994.
  • 5. R.C. Batra, X.Q. Liang, J.S. Yang, The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators, Int. J. Solids Struct., 33, 1597–1618, 1996.
  • 6. A.J. Niklasson, S.K. Datta, M.L. Dunn, On approximate guided waves in plates with thin anisotropic coatings by means of effective boundary conditions, J. Acoust. Soc. Am., 108, (3), 924–933, 2000.
  • 7. B.X. Zhang, A. Boström, A.J. Niklasson, Antiplane shear waves from a piezoelectric strip actuator: exact versus effective boundary condition solutions, Smart Mater. Struct., 13, 161–168, 2004.
  • 8. A. Boström, B.X. Zhang, In-plane P-SV waves from a piezoelectric strip actuator: Exact versus effective boundary condition solutions, IEEE Trans. Ultra. Ferro. Freq. Control, 52, 1594–1600, 2005.
  • 9. Y. Benveniste, A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media, J. Mech. Phys. Solid, 54, 708–734, 2006.
  • 10. T.C.T. Ting, Mechanics of a thin anisotropic elastic layer and a layer that is bonded to an anisotropic elastic body or bodies, Proc. R. Soc. Lond. A, 463, 2223–2239, 2007.
  • 11. T.C.T. Ting, Green’s functions for a half-space and two half-spaces bonded to a thin anisotropic elastic layer, J. Appl. Mech., 75, 051103 (6 pages), 2008.
  • 12. G. Johansson, A.J. Niklasson, Approximate dynamic boundary conditions for a thin piezoelectric layer, Int. J. Solids Struct., 40, 3477–3492, 2003.
  • 13. Y. Benveniste, An interface model for a three-dimensional curved thin piezoelectric interphase between two piezoelectric media, Math. & Mech. Solids, 14, 102–122, 2009.
  • 14. T.C.T. Ting, Anisotropic Elasticity: Theory and Applications, Oxford, UK: Oxford University Press, 1996.
  • 15. W. Voigt, Lehrbuch der Kristallphysik, Leipzig, Germany: B. G. Teubner, 1910.
  • 16. M.Y. Chung, T.C.T. Ting, Line force, charge, and dislocation in anisotropic piezoelectric composite wedges and spaces, J. Appl. Mech., 62, 423–428, 1995.
  • 17. E. Pan, Mindlin’s problem for an anisotropic piezoelectric half-space with general boundary conditions, Proc. R. Soc. Lond. A, 458, 181–208, 2002.
  • 18. X. Wang, E. Pan, Two-dimensional Eshelby’s problem for two imperfectly bonded piezoelectric half-planes, Int. J. Solids Struct., 47, 148–160, 2010.
  • 19. J.P. Nowacki, Static and Dynamic Coupled Fields in Bodies with Piezoeffects or Polarization Gradient, Springer, Berlin, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-363c93dc-c903-4bf4-907e-047300a09e0c
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