Nonlinear Time Dependent Finite Element Model for Active Composites
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This paper present an approximate solution based on a finite element model for simulating nonlinear and time-dependent behaviors of polarized piezoelectric composite materials and structures. A nonlinear time-dependent electro-mechanical constitutive model based on a single integral form is formulated. The nonlinearity is accounted for by introducing a model that depends on the external electric field and the effect of loading history is incorporated through the time integrand. An incremental formulation based on a recursive-iterative method is used to solve for the nonlinear and time-dependent integral form. The nonlinear electro-mechanical response of active composite structures under electric field inputs is simulated. Good comparisons between responses from the nonlinear and time-dependent models and experiments are observed.