DOI QR코드

DOI QR Code

Buckling delamination of the PZT/Metal/PZT sandwich circular plate-disc with penny-shaped interface cracks

  • Cafarova, Fazile I. (Genje State University) ;
  • Akbarov, Surkay D. (Department of Mechanical Engineering, Yildiz Technical University) ;
  • Yahnioglu, Nazmiye (Department of Mathematical Engineering, Yildiz Technical University)
  • 투고 : 2016.04.06
  • 심사 : 2016.12.05
  • 발행 : 2017.02.25

초록

The axisymmetric buckling delamination of the Piezoelectric/Metal/Piezoelectric (PZT/Metal/PZT) sandwich circular plate with interface penny-shaped cracks is investigated. The case is considered where open-circuit conditions with respect to the electrical displacement on the upper and lower surfaces, and short-circuit conditions with respect to the electrical potential on the lateral surface of the face layers are satisfied. It is assumed that the edge surfaces of the cracks have an infinitesimal rotationally symmetric initial imperfection and the development of this imperfection with rotationally symmetric compressive forces acting on the lateral surface of the plate is studied by employing the exact geometrically non-linear field equations and relations of electro-elasticity for piezoelectric materials. The sought values are presented in the power series form with respect to the small parameter which characterizes the degree of the initial imperfection. The zeroth and first approximations are used for investigation of stability loss and buckling delamination problems. It is established that the equations and relations related to the first approximation coincide with the corresponding ones of the three-dimensional linearized theory of stability of electro-elasticity for piezoelectric materials. The quantities related to the zeroth approximation are determined analytically, however the quantities related to the first approximation are determined numerically by employing Finite Element Method (FEM). Numerical results on the critical radial stresses acting in the layers of the plate are presented and discussed. In particular, it is established that the piezoelectricity of the face layer material causes an increase (a decrease) in the values of the critical compressive stress acting in the face (core) layer.

키워드

참고문헌

  1. Akbarov, S.D. (2013), Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites. Springer, Heidelberg, New York.
  2. Akbarov, S.D. and Rzayev, O.G. (2002), "On the buckling of the elastic and viscoelastic composite circular thick plate with a penny-shaped crack", Eur. J Mech. A Solid. 21(2), 269-279. https://doi.org/10.1016/S0997-7538(01)01196-2
  3. Akbarov, S.D. and Yahnioglu, N. (2013), "Buckling delamination of a sandwich plate-strip with piezoelectric face and elastic core layers", Appl. Math. Model. 37, 8029-8038 https://doi.org/10.1016/j.apm.2013.02.051
  4. Akbarov, S.D. and Yahnioglu, N. (2016), "On the total electro-mechanical potential energy and energy release rate at the interface crack tips in an initially stressed sandwich plate-strip with , piezoelectric face and elastic core layers", Int. J. Solid Struct., 88-89, 119-130 https://doi.org/10.1016/j.ijsolstr.2016.03.014
  5. Arefi, M. and Allam, M.N.M. (2015), "Nonlinear responses of an arbitrary FGP circular plate resting on the Winkler - Pasternak foundation", Smart Struct. Syst., 16(1), 81-100. https://doi.org/10.12989/sss.2015.16.1.081
  6. Bogdanov, V.L., Guz, A.N. and Nazarenko V.M. (2015), "Spatial problems of the fracture of materials loaded along cracks (Review)", Int. Appl. Mech., 51(5), 489-560. https://doi.org/10.1007/s10778-015-0710-x
  7. Guz, A.N. (1999), Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies. Springer-Verlag, Berlin Heidelberg.
  8. Guz, A.N. (2004), Elastic waves in bodies with initial (residual) stresses. "A.C.K.", Kiev.
  9. Guz, A.N. and Nazarenko, V.M. (1985), "Symmetric failure of the half-space with penny-shaped crack in compression", Theor. Appl. Fcat. Mec., 3, 233-245. https://doi.org/10.1016/0167-8442(85)90033-3
  10. Jabbari, M., Farzaneh Joubaneh, E., Khorshidvand, A.R. and Eslami, M.R. (2013), "Buckling analysis of porous circular plate with piezoelectric actuator layers under uniform radial compression", Int. J. Mech. Sci., 70, 50-56. https://doi.org/10.1016/j.ijmecsci.2013.01.031
  11. Jerome, R. and Ganesan, N. (2010). "New generalized plane strain FE formulation for the buckling analysis of piezocomposite beam", Finit. Elem. Anal. Des., 46, 896-904. https://doi.org/10.1016/j.finel.2010.06.003
  12. Kakar, R. and Kakar, S. (2016), "SH-waves in a piezoelectric layer overlying an initially stressed orthotropic half- space", Smart Struct. Syst., 17 (2), 327-345. https://doi.org/10.12989/sss.2016.17.2.327
  13. Kuna, M. (2006), "Finite element analysis of cracks in piezoelectric structures: a survey", Arch. Appl. Mech., 76, 725-745. https://doi.org/10.1007/s00419-006-0059-z
  14. Meng, F., Wang H., Wang, X. and Li, Z. (2010), "Elliptically delaminated buckling near the surface of piezoelectric laminated shells under electric and thermal loads", Compos. Struct., 92(3), 684-690 https://doi.org/10.1016/j.compstruct.2009.09.023
  15. Rzayev, O.G. and Akbarov, S.D. (2002), "Local buckling of the elastic and viscoelastic coating around the penny-shaped interface crack", Int. J Eng. Sci., 40, 1435-1451. https://doi.org/10.1016/S0020-7225(02)00034-4
  16. Wu, C.P. and Ding, S. (2015), "Coupled electro-elastic analysis of functionally graded piezoelectric material plates", Smart Struct. Syst., 16(5), 781-806. https://doi.org/10.12989/sss.2015.16.5.781
  17. Yang, J.S. (1998), "Buckling of a piezoelectric plate", Int. J. Appl. Electromagn. Mech., 9, 399-408.
  18. Yang, J.S. (2005), An introduction to the theory of piezoelectricity. Springer, New-York.
  19. Zienkiewicz, O.C. and Taylor, R.L. (1989), Basic formulation and linear problems. The finite element method, 1, 4-th Ed., McGraw-Hill, New York.

피인용 문헌

  1. Buckling delamination of a PZT/Metal/PZT sandwich rectangular thick plate containing interface inner band cracks 2017, https://doi.org/10.1016/j.compstruct.2017.09.106
  2. The influence of initial stresses on energy release rate and total electro-mechanical potential energy for penny-shaped interface cracks in PZT/Elastic/PZT sandwich circular plate-disc vol.22, pp.3, 2017, https://doi.org/10.12989/sss.2018.22.3.259
  3. Dynamic buckling of smart sandwich beam subjected to electric field based on hyperbolic piezoelasticity theory vol.22, pp.3, 2017, https://doi.org/10.12989/sss.2018.22.3.327
  4. 3D FEM Analysis of Buckling Delamination of a Piezoelectric Sandwich Rectangular Plate with Interface Edge Cracks vol.55, pp.6, 2020, https://doi.org/10.1007/s11029-020-09851-z