Ultrasonic Waves and Material and Defect Characterization in Composite Plates

Author: Datta Subhendu K.   Shah Arvind H.   Karunasena W.  

Publisher: Taylor & Francis Ltd

ISSN: 1521-0596

Source: Mechanics of Composite Materials and Structures, Vol.6, Iss.4, 1999-10, pp. : 285-300

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Abstract

Analysis of wave propagation and scattering in a composite plate is complicated by the anisotropic properties of the laminae. An accurate computation of the wave field excited by transient sources in such a plate is required in order to characterize the anisotropic stiffness properties of the laminae and for ultrasonic evaluation of delamination defects. Here, a variational formulation has been used for deriving the dispersion equation governing guided elastic waves in laminated plates. The equation is a matrix eigenvalue problem that can be solved for the wavenumbers at given frequencies or for the frequencies at given wavenumbers. For accurate evaluation of the eigenvalues it is necessary to have a large number of sublayers, which results in large matrices and is not computationally efficient. However, the matrix formulation combined with analytical refinement is shown to give fairly accurate results that agree well with experiments. In this article, results for guided wave dispersion and the inverse problem of material characterization are presented. In addition, an analysis of scattering by defects in a laminated plate is given. Two techniques are discussed. One is a hybrid method that combines the finite-element representation with the guided-wave modal expansion of the global field, and the other is a boundary integral technique.