Rotary inertia effects on the propagation of elastic waves in thin FGM plates

Milad Mehrkash , Mojtaba Azhari , Hamid Reza Mirdamadi

For the study of mechanical behaviour of thin functionally graded material plates, the classical plates theory (CPT) might be used. In this simple and approximate theory, the rotary inertia term is often neglected. When the problem regards the dynamical analysis of plates, such as acoustic wave propagation, especially at high frequencies, there would be some concerns whether this term may be ignored or not. The present paper discusses how the rotary inertia can affect the transient wave motion due to impulsive loading in thin inhomogeneous FGM plates. It is assumed that the plate material properties variations follow a simple power law distribution function in terms of the volume fractions of the constituents in the thickness direction. Based on the classical theory of plates and employing Fourier transform technique and modal analysis, elastic wave responses of the FGM plate are obtained. The analysis is carried out for several volume fraction indices and the models of which the inertia term would be considered or not, then, the results are compared with the homogeneous ones. Moreover, influences of the mentioned term on dispersion curves of thin FGM plates are shown.

Mots clés: Rotary Inertia; Wave Propagation; Thin FGM Plate; CPT

Domaines: Acoustique [physics.class-ph]

Milad Mehrkash, Mojtaba Azhari, Hamid Reza Mirdamadi. Rotary inertia effects on the propagation of elastic waves in thin FGM plates. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00810804⟩