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.
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December 1999
Technical Papers
A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate Available to Purchase
G. R. Liu,
G. R. Liu
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
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Z. C. Xi,
Z. C. Xi
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
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K. Y. Lam,
K. Y. Lam
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
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H. M. Shang
H. M. Shang
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
Search for other works by this author on:
G. R. Liu
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
Z. C. Xi
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
K. Y. Lam
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
H. M. Shang
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
J. Appl. Mech. Dec 1999, 66(4): 898-903 (6 pages)
Published Online: December 1, 1999
Article history
Received:
November 3, 1998
Revised:
April 2, 1999
Online:
October 25, 2007
Citation
Liu, G. R., Xi, Z. C., Lam, K. Y., and Shang, H. M. (December 1, 1999). "A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate." ASME. J. Appl. Mech. December 1999; 66(4): 898–903. https://doi.org/10.1115/1.2791795
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