Abstract
In this paper, a one-dimensional elastodynamic problem in a functionally graded piezoelectric infinite thin film is considered. It is assumed that the film is initially in the stress-free state, one surface is subjected to an impact pressure, and the other surface is fixed to a flat rigid body. The nonhomogeneous material properties are assumed to be expressed as exponential functions of the space-variable. Applying the techniques of the space-variable transformation and Laplace transform, an exact analytical solution for the displacement, stress, and electric potential which satisfy the initial and boundary conditions is obtained for two cases of variation in material properties. The functions of the displacement, stress, and electric potential derived for one case are different from those derived for the other case. It is seen from numerical results that the time history of one stress is monotonic and periodic and the waveform of the stress oscillation remains unchanged, whereas that of the other stress is quasi-periodic and the waveform changes as time advances.
