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Unformatted text preview: Nonlinear Analysis of Smart Composite Plates Including Hysteresis Effects V. L. Sateesh, ∗ C. S. Upadhyay, † and C. Venkatesan ‡ Indian Institute of Technology, Kanpur 208016, India DOI: 10.2514/1.J050223 The coupled electrothermoelastic constitutive relations, representing the behavior of piezo materials, are shown to be nonlinear when the polarization – electric fi eld interaction effects are properly accounted for. Under static condition, the polarization – electric fi eld nonlinearities correspond to a distributed body force and bodymoment. For time varying situations, polarization – electric fi eld interaction exhibits a hysteresis effect. Using the nonlinear constitutiverelations, a layer-by-layer fi niteelement formulation isdevelopedfor both static anddynamic analysesof smart plates including hysteresis effects. Linear and nonlinear analyses are carried out to study the effect of nonlinearity due to polarization – electric fi eld interaction on the response of the smart plates. To validate the present formulation, the results of static analysis of a smart plate are compared with experimental data available in literature. It is observed that the P- E hysteresis effects show a friction-type damping in the dynamic response of the...
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- Spring '11