Investigation of the Plate Theories Accuracy for the Elastic Wave Propagation Analysis of FGM Plates

Milad Mehrkash , Mojtaba Azhari , Hamid Reza Mirdamadi

The importance of the elastic wave propagation problem in plates arises from application of the elastic waves in non-destructive evaluation of structures. However, precise understanding and analyzing of acoustic guided waves especially in non-homogeneous plates such as functionally graded material ones is so complicated that the exact elastodynamics methods are rarely used in practical applications. Hence, the simple approximate plate theories have attracted much interest in the calculation of FGM plates waves responses. The present paper is an theoretical assessment of the compromise between the simplicity and accuracy of the plate theories for the problem of elastic wave propagation in FGM plates. So, the classical (CPT), first order (FSDT) and third order (TSDT) theories of plates are employed to obtain the transient wave fields due to impulsive loadings in FGM plates. Furthermore, a hybrid numerical method (HNM) is used to examine the accuracy of the plate theories for different plate thicknesses and frequency contents of the wave sources. In all analyses, Fourier transform and modal analysis are applied to get the displacement fields. Comparison of the results shows the reliability range of the approximate plate theories for the acoustic wave propagation analysis in FGM plates.

Mots clés: Plate Theories Accuracy; Wave Propagation; FGM Plate

Domaines: Acoustique [physics.class-ph]

Milad Mehrkash, Mojtaba Azhari, Hamid Reza Mirdamadi. Investigation of the Plate Theories Accuracy for the Elastic Wave Propagation Analysis of FGM Plates. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00810806⟩