A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate

[+] Author and Article Information
G. R. Liu, Z. C. Xi, K. Y. Lam, H. M. Shang

Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260

J. Appl. Mech 66(4), 898-903 (Dec 01, 1999) (6 pages) doi:10.1115/1.2791795 History: Received November 03, 1998; Revised April 02, 1999; Online October 25, 2007


A strip element method is presented for analyzing wave scattering by a crack in a composite laminate submerged in a fluid. In this method, the fluid and laminated plate are modeled using two-nodal-line and three-nodal-line strip elements, respectively. A system of governing equations of the fluid and solid strip elements in frequency domain are derived using a variational method and the Hamilton principle, which are converted as a set of characteristic equations in wave number domain by applying Fourier transform techniques. A particular solution to the equations is obtained using a modal analysis method in conjunction with inverse Fourier transform techniques. A complementary solution to the equations is found employing horizontal boundary conditions on cross sections at the crack tips. The addition of the particular and complementary solutions yields a general solution. Numerical examples are presented for immersed steel and composite plates with either a horizontal or a vertical crack. Computed results indicate that the fluid has considerable influence on the wave fields scattered by a crack in a composite laminate.

Copyright © 1999 by The American Society of Mechanical Engineers
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