Ibrahim, H. H., M. Tawfik, and H. M. Negm,
"Thermal buckling and nonlinear flutter behavior of shape memory alloy hybrid composite plates",
Journal of Vibration and Control, vol. 46, issue 3, 2010.
AbstractA new nonlinear finite element model is provided for the nonlinear flutter response of shape memory alloy (SMA) hybrid
composite plates under the combined effect of thermal and aerodynamic loads. The nonlinear governing equations for
moderately thick rectangular plates are obtained using first-order shear-deformable plate theory, von Karman straindisplacement
relations and the principle of virtual work. To account for the temperature dependence of material properties,
the thermal strain is stated as an integral quantity of thermal expansion coefficient with respect to temperature.
The aerodynamic pressure is modeled using the quasi-steady first-order piston theory. Newton-Raphson iteration
method is employed to obtain the thermal post-buckling deflection, while the linearized updated mode method is implemented
in predicting the limit-cycle oscillation at elevated temperatures. Numerical results are presented to show the
thermal buckling and flutter characteristics of SMA hybrid composite plates, illustrating the effect of the SMA volume fraction
and pre-strain value on the aero-thermo-mechanical response of such plates.