Exact analysis of imperfect angle-ply laminated panels with surface-bonded piezoelectric layers

  • Wei YanEmail author
  • Tianbi Lv
  • Tingjie Lei
  • Junjing Zhi


The electromechanical behavior of an angle-ply laminated plate in cylindrical bending with surface-bonded piezoelectric layers is investigated. The interlaminar bonding of this smart laminate is described by a Kelvin–Voigt viscoelastic model. Besides, a matrix reduction method is employed to construct the transfer relations between the piezoelectric layer and the elastic strip. Based on the state-space approach, a state differential equation of the interfacial sliding displacements with respect to time variable is derived, from which the exact solutions are obtained in the time domain. Comparison with the existing techniques validates the high efficiency and excellent accuracy of the present analysis. Furthermore, the numerical results indicate that the intelligent laminate may lose partly or completely the load-bearing capacity and the function of sensor/actuators with time elapsing because of the viscoelastic interfaces.


Angle-ply laminate Viscoelastic interface Matrix reduction method State-space formulation Exact analysis 



The research is supported by the Natural Science Foundation of Ningbo city (Grant Nos. 2017A610315 and 2018A610353) and the K.C. Wong Magna Fund of Ningbo University.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Architectural, Civil Engineering and EnvironmentNingbo UniversityNingboPeople’s Republic of China

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