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Acta Mechanica Solida Sinica

, Volume 30, Issue 6, pp 658–667 | Cite as

Effect of imperfect bonding on the dynamic response of a pre-stressed sandwich plate-strip with elastic layers and a piezoelectric core

  • Ahmet Daşdemir
Article
  • 4 Downloads

Abstract

In this paper, we consider the dynamic response of a pre-stressed sandwich plate-strip with a piezoelectric core and elastic layers under the action of a time-harmonic force resting on a rigid foundation. The investigation is carried out within the framework of the piecewise homogeneous body model by utilizing the exact equations of motion and relations of the linear theory of electro-elasticity. It is assumed that there is a shear-spring-type imperfect contact between the layers, but a complete contact between the plate-strip and the rigid foundation. A mathematical model of the problem is constructed, and the governing equations of motion are solved by employing the finite element method (FEM). Numerical results illustrating the influence of a change in the value of the shear-spring parameter on the dynamic response of the plate-strip are then presented.

Keywords

Sandwich plate-strip Shear-spring-type imperfection Piezoelectric materials Initial stress Frequency response 

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References

  1. 1.
    A.N. Guz, Elastic Waves in a Body with Initial (Residual) Stresses, A.C.K., 2004 (in Russian).Google Scholar
  2. 2.
    A. Cilli, A. Ozturk, Dispersion of torsional waves in initially stressed multilayered circular cylinders, Mech. Compos. Mater. 46 (2) (2010) 227–236.CrossRefGoogle Scholar
  3. 3.
    A.D. Zamanov, E.R. Agasiyev, Dispersion of Lamb waves in a three-layer plate made from compressible with finite deformations, Mech. Compos. Mater. 46 (6) (2011) 583–592.CrossRefGoogle Scholar
  4. 4.
    H. Wen-tao, X. Tang-dai, C. Wei-yun, Influence of lateral initial pressure on axisymmetric wave propagation in hollow cylinder based on first power hypo-elastic model, J. Central South Univ. 21 (2) (2014) 753–760.CrossRefGoogle Scholar
  5. 5.
    A. Daşdemir, M. Eröz, Mathematical modeling of dynamical stress field problem for a pre-stressed bi-layered plate-strip, Bull. Malaysian Math. Sci. Soc. 38 (2) (2015) 733–760.MathSciNetCrossRefGoogle Scholar
  6. 6.
    J. Liu, Y. Wang, B. Wang, Propagation of shear horizontal surface waves in a layered piezoelectric half-space with an imperfect interface, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 57 (8) (2010) 1875–1879.CrossRefGoogle Scholar
  7. 7.
    J.R. Berger, P.A. Martin, S.J. McCaffery, Time-harmonic torsional waves in a composite cylinder with an imperfect interface, J. Acoust. Soc. Am. 107 (3) (2000) 1161–1167.CrossRefGoogle Scholar
  8. 8.
    M.X. Deng, Analysis of second-harmonic generation of Lamb waves propagating in layered planar structures with imperfect interfaces, Appl. Phys. Lett. 88 (22) (2006) 221902.CrossRefGoogle Scholar
  9. 9.
    S.D. Akbarov, C. Ipek, Dispersion of axisymmetric longitudinal waves in a pre-strained imperfectly bonded bi-layered hollow cylinder, Comput. Mater. Continua 30 (2) (2012) 99–14.Google Scholar
  10. 10.
    T. Kepceler, Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface, Appl. Math. Modell. 34 (12) (2010) 4058–4073.MathSciNetCrossRefGoogle Scholar
  11. 11.
    Y. Pang, J. Liu, Reflection and transmission of plane waves at an imperfectly bonded interface between piezoelectric and piezomagnetic media, Eur. J. Mech. A Solids 30 (5) (2011) 731–740.CrossRefGoogle Scholar
  12. 12.
    J. Yang, An Introduction to the Theory of Piezoelectricity, Springer, 2005.Google Scholar
  13. 13.
    S.I. Rokhlin, J. Wang, Analysis of boundary conditions for elastic wave interaction with an interface between two solids, J. Acoust. Soc. Am. 89 (2) (1991) 503–515.CrossRefGoogle Scholar
  14. 14.
    J.P. Jones, J.S. Whittier, Waves at a flexibly bonded interface, J. Appl. Mech. 34 (4) (1967) 905–909.CrossRefGoogle Scholar
  15. 15.
    O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, Basic Formulation and Linear Problems, McGraw-Hill, 1989.Google Scholar
  16. 16.
    Y.S. Uflyand, Integral Transformations in the Theory of Elasticity, Nauka, 1963 (in Russian).Google Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2017

Authors and Affiliations

  1. 1.Department of MathematicsKastamonu UniversityKuzeykent CampusTurkey

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