Scattering of waves by flaws in anisotropic laminated plates

The strip element method (SEM) is used to investigate wave scattering by rectangular flaws in anisotropic laminated plates. The plates containing flaws are divided by junctions into domains in which the SEM is applied. For each domain, SEM equations are obtained which give a relationship between the traction and displacement vector on the vertical boundaries. A set of equations which gives a relationship between the traction and displacement vector on the junctions is then obtained by assembling the SEM equations for all the domains. This set of equations is solved by using the conditions on the junctions. Scattered wave fields in the frequency domain for isotropic and composite plates with rectangular flaws are computed and discussed in comparison with results for corresponding plates without flaws. A technique for determining the length of a rectangular flaw in a plate is also presented. The results presented in this paper are of importance and could be used in the characterization of flaws in anisotropic laminated plates.

[1]  Junji Tani,et al.  Transient Waves in Anisotropic Laminated Plates, Part 1: Theory , 1991 .

[2]  Ajit K. Mal,et al.  Calculation of the inplane Green's functions for a layered viscoelastic solid , 1987 .

[3]  Eduardo Kausel,et al.  An explicit solution for the Green functions for dynamic loads in layered media , 1981 .

[4]  Tribikram Kundu,et al.  Elastic wave scattering by cracks and inclusions in plates: in-plane case , 1992 .

[5]  S. W. Liu,et al.  Transient scattering of Rayleigh-Lamb waves by a surface-breaking crack: Comparison of numerical simulation and experiment , 1991 .

[6]  A. H. Shah,et al.  Scattering of lamb waves by a normal rectangular strip weldment , 1991 .

[7]  A. H. Shah,et al.  Scattering of an Impact Wave by a Crack in a Composite Plate , 1992 .

[8]  D. Helmberger,et al.  Synthetic Seismogram Computation by Expansion in Generalized Rays , 1974 .

[9]  Warna Karunasena,et al.  Plane-strain-wave scattering by cracks in laminated composite plates , 1991 .

[10]  Eduardo Kausel,et al.  Point Loads in Cross‐Anisotropic, Layered Halfspaces , 1989 .

[11]  Junji Tani,et al.  An exact method for analysing elastodynamic response of anisotropic laminates to line loads , 1995 .

[12]  Richard L. Weaver,et al.  Axisymmetric Elastic Waves Excited by a Point Source in a Plate , 1982 .

[13]  Jan Drewes Achenbach,et al.  A Strip Element Method for Stress Analysis of Anisotropic Linearly Elastic Solids , 1994 .

[14]  J. Miklowitz,et al.  The Theory of Elastic Waves and Waveguides , 1979 .

[15]  Jan Drewes Achenbach,et al.  Strip Element Method to Analyze Wave Scattering by Cracks in Anisotropic Laminated Plates , 1995 .

[16]  Junji Tani,et al.  Surface Waves in Functionally Gradient Piezoelectric Plates , 1994 .

[17]  R. Rajapakse,et al.  An Exact Stiffness Method for Elastodynamics of a Layered Orthotropic Half-Plane , 1994 .

[18]  Subhendu K. Datta,et al.  Propagation of Transient Elastic Waves in Stratified Anisotropic Media , 1987 .

[19]  O. von Estorff,et al.  Some observations on time domain and frequency domain boundary elements , 1990 .

[20]  A. T. Hoop,et al.  A modification of cagniard’s method for solving seismic pulse problems , 1960 .

[21]  Fadil Santosa,et al.  Transient axially asymmetric response of an elastic plate , 1989 .

[22]  K. Y. Lam,et al.  A technique for analyzing elastodynamic responses of anisotropic laminated plates to line loads , 1997 .

[23]  Yih-Hsing Pao,et al.  The Generalized Ray Theory and Transient Responses of Layered Elastic Solids , 1977 .