Modeling and transient dynamic analysis of pseudoelastic SMA hybrid composite beam

This study deals with the dynamic analysis of a continuous SMA hybrid composite beam subjected to impulse load, taking into account the instantaneous phase transformation at any time and also material nonlinearity effects, for every point along the beam for the first time. Due to the phase transformation, the equations of motion are coupled with the phase transformation’s kinetic equations of SMA wires which make the problem more complicated. The one-dimensional constitutive equation of SMA proposed by Brinson is employed to model the pseudoelastic behavior of SMA wires. A transient finite element along with an iterative incremental method is employed to investigate the dynamic response of pseudoelastic SMA hybrid composite beam and also full SMA beam. The Newmark time integration method is used in solving the dynamic finite element equations. Results show the efficiency of the proposed model and the relevant solution algorithm. Furthermore, damped response of SMA hybrid composite beam and full SMA beam is observed, which is due to the hysteresis behavior of SMAs. In the case of full SMA beam, the phase transformation is considered for every point along the length and also through the thickness of the beam. A result shows that the through-the-thickness variation of the stress is nonlinear due to the material nonlinearity. Finally, several numerical examples upon the effect of amplitude of the loading, different boundary conditions and thermal loading have been analyzed.