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Screw dislocations in piezoelectric laminates with four or more phases

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present an analytical solution to the problem of a screw dislocation in a four-phase piezoelectric laminate composed of two piezoelectric layers of equal thickness sandwiched between two semi-infinite piezoelectric media. A new version of the complex variable formulation is proposed such that the 2 × 2 real symmetric matrix appearing in the formulation becomes dimensionless. Using analytic continuation, the original boundary value problem is reduced to the identification of a single 2D analytic vector function which is completely determined following rigorous solution of the resulting linear recurrence relations in matrix form. An explicit expression for the image force acting on the piezoelectric screw dislocation is obtained once the single 2 × 2 real matrix function is identified. We also discuss the solution for a screw dislocation in an N-phase piezoelectric laminate composed of N − 2 piezoelectric layers of equal thickness sandwiched between two semi-infinite piezoelectric media.
Rocznik
Strony
239--262
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
autor
  • School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
autor
  • School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
autor
  • Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta Canada T6G 1H9
Bibliografia
  • 1. Y.T. Chou, Screw dislocations in and near lamellar inclusions, Physica Status Solidi (B), 17, 509–516, 1966.
  • 2. S.N.G. Chu, Screw dislocation in a two-phase isotropic thin film, Journal of Applied Physics, 53, 3019–3023, 1982
  • 3. S.V. Kamat, J.P. Hirth, B. Carnahan, Image forces on screw dislocations in multi-layer structures, Scripta Metallurgica, 21, 1587–1592, 1987.
  • 4. M.L. Öveçoğlu, M.F. Doerner, W.D. Nix, Elastic interactions of screw dislocations in thin films on substrates, Acta Metallurgica, 35, 2947–2957, 1987.
  • 5. L. Stagni, R. Lizzio, Interaction of an edge dislocation with a lamellar inhomogeneity, Mechanics of Materials, 6, 17–25, 1987.
  • 6. N. Fares, V.C. Li, General image method in a plane-layered elastostatic medium, Journal of Applied Mechanics, 55, 781–785, 1988.
  • 7. C.C. Ma, H.T. Lu, Theoretical analysis of screw dislocations and image forces in anisotropic multilayered media, Physical Review B, 73, 14, 144102, 2006.
  • 8. H.Y. Wang, M.S. Wu, H. Fan, Image decomposition method for the analysis of a mixed dislocation in a general multilayer, International Journal of Solids and Structures, 44, 1563–1581, 2007.
  • 9. X. Wang, P. Schiavone, New solution for a screw dislocation in a multilayered laminate, European Journal of Mechanics A/Solids, 76, 321–327, 2019.
  • 10. X. Wang, P. Schiavone, Eshelby’s inclusion and screw dislocation problems for a three-phase piezoelectric laminate, Journal of Theoritical and Applied Mechanics Bulgaria, 49, 1, 71–82.
  • 11. Y.Q. Guo, W.Q. Chen, Y.L. Zhang, Guided wave propagation in multilayered piezo-electric structures, Science China Physics, Mechanics and Astronomy, 52, 1094–1104, 2009.
  • 12. D.A. Saravanos, P.R. Heyliger, Mechanics and computational models for laminated piezoelectric beams, plate, and shells, Applied Mechanics Reviews, 52, 305–320, 1999.
  • 13. S.V. Gopinathan, V. Varadan, V.K. Varadan, A review and critique of theories for piezoelectric laminates, Smart Materials and Structures, 9, 24–48, 2000.
  • 14. J.Q. Tarn, L.J. Huang, Saint-Venant end effects in multilayered piezoelectric laminates, International Journal of Solids and Structures, 39, 4979–4998, 2002.
  • 15. Z.G. Suo, Singularities interacting with interfaces and cracks, International Journal of Solids and Structures, 25, 1133–1142, 1989.
  • 16. C.Q. Ru, Analytic solution for Eshelby’s problem of an inclusion of arbitrary shape in a plane or half-plane, Journal of Applied Mechanics, 66, 315–322, 1999.
  • 17. Y.E. Pak, Force on a piezoelectric screw dislocation, Journal of Applied Mechanics, 57, 863–869, 1990.
  • 18. K.Y. Lee, W.G. Lee, Y.E. Pak, Interaction between a semi-infinite crack and a screw dislocation in a piezoelectric material, Journal of Applied Mechanics, 67, 165–170, 2000.
  • 19. J.X. Liu, S.Y. Du, B. Wang, A screw dislocation interacting with a piezoelectric bimaterial interface, Mechanics Research Commununications, 26, 415–420, 1999.
  • 20. X. Wang, H. Fan, A piezoelectric screw dislocation in a bimaterial with surface piezo-electricity, Acta Mechanica, 226, 3317–3331, 2015.
  • 21. B.J. Chen, K.M. Liew, Z.M. Xiao, Green’s functions for anti-plane problems in piezo-electric media with a finite crack, International Journal of Solids and Structures, 41, 5285–5300, 2004.
  • 22. B.J. Chen, Z.M. Xiao, K.M. Liew, A screw dislocation interacting with a finite crack in a piezoelectric medium, International Journal of Engineering Science, 42, 1325–1345, 2004.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c403370f-1702-46bc-ae08-a7854e94a561
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