Abstract

Analysis for a piezoelectric plate lying over a viscoelastic foundation under cylindrical bending is presented in this paper. By the method of separating variables, a concise analytical solution for a rectangle piezoelectric plate with viscoelastic restoring force caused by a viscoelastic foundation is obtained. The long-term behavior of the structure is analyzed in detail with a lot of numerical examples. The results show that there exists strain creep together with stress delay when this kind of piezoelectric structure is subjected to mechanical or electric load or electromechanical coupling loads. It is also found from the calculation that when the viscoelastic foundation is made of a Maxwell fluid, the viscoelastic restoring force will gradually attenuate to zero with the passage of time; but when the foundation is a standard viscoelastic solid, the restoring force will always exist along the interface between the piezoelectric plate and the foundation. Moreover, the electric displacement always varies with time during all the loading processes.KeywordsPiezoelectricityviscoelasticitycreep

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