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    Surface Waves in Functionally Gradient Piezoelectric Plates 

    Source: Journal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 004:;page 440
    Author(s): G. R. Liu; J. Tani
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The hybrid numerical method, which has been proposed by the present authors for wave propagation analysis in anisotropic laminated plates, is extended for functionally gradient piezoelectric ...
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    A Strip Element Method for Stress Analysis of Anisotropic Linearly Elastic Solids 

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 002:;page 270
    Author(s): G. R. Liu; J. D. Achenbach
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new numerical method, the strip element method, is presented for the stress analysis of anisotropic linearly elastic solids. For two-dimensional problems the domain is discretized in one ...
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    Strip Element Method to Analyze Wave Scattering by Cracks in Anisotropic Laminated Plates 

    Source: Journal of Applied Mechanics:;1995:;volume( 062 ):;issue: 003:;page 607
    Author(s): G. R. Liu; J. D. Achenbach
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The strip element method (SEM) has been extended to investigate wave scattering by cracks in anisotropic laminated plates. The cracked plates are divided into domains in which the extended SEM ...
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    Transient Waves in Anisotropic Laminated Plates, Part 2: Application 

    Source: Journal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002:;page 235
    Author(s): G. R. Liu; T. Ohyoshi; K. Watanabe; J. Tani
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The application of the hybrid numerical method proposed in the previous paper by the present authors to the computation of transient waves in composite material plates excited by step-impact ...
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    Characteristic Wave Surfaces in Anisotropic Laminated Plates 

    Source: Journal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 003:;page 279
    Author(s): G. R. Liu; T. Ohyoshi; K. Watanabe; J. Tani
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A numerical method is used to determine the dispersion relation (an eigenvalue equation) of plane wave propagation in an anisotropic laminated plate. A phase velocity surface, phase slowness ...
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    Transient Waves in Anisotropic Laminated Plates, Part 1: Theory 

    Source: Journal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002:;page 230
    Author(s): G. R. Liu; T. Ohyoshi; K. Watanabe; J. Tani
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A hybrid numerical method in which the finite element method and the method of Fourier transforms are combined is proposed for computing the transient waves in anisotropic laminated plates ...
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    Lamb Wave Propagation in Anisotropic Laminates 

    Source: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 004:;page 923
    Author(s): G. R. Liu; J. Tani; K. Watanabe; T. Ohyoshi
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The wave propagation in arbitrary anisotropic laminates is investigated on the basis of an exact theory. The dispersion relations of Lamb waves are determined for graphite/epoxy symmetric angle-ply ...
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    Probabilistic Risk Prediction of Submarine Pipelines Subjected to Underwater Explosion Shock 

    Source: Journal of Offshore Mechanics and Arctic Engineering:;1999:;volume( 121 ):;issue: 004:;page 251
    Author(s): Z. Zong; K. Y. Lam; G. R. Liu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A simple procedure is proposed in this paper to estimate the global failure probabilities of a submarine oil pipeline subjected to underwater explosion shock wave. The deterministic response of ...
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    A Strip Element Method for Analyzing Wave Scattering by a Crack in an Immersed Composite Laminate 

    Source: Journal of Applied Mechanics:;1999:;volume( 066 ):;issue: 004:;page 898
    Author(s): G. R. Liu; Z. C. Xi; K. Y. Lam; H. M. Shang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: 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 ...
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    Characterization of Delamination in Beams Using Flexural Wave Scattering Analysis 

    Source: Journal of Vibration and Acoustics:;2001:;volume( 123 ):;issue: 004:;page 421
    Author(s): S. I. Ishak; G. R. Liu; S. P. Lim; H. M. Shang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An analytical model for the characterization of delamination in beams using flexural wave scattering analysis is presented. In the beam model of wave propagation, the beam is divided into four ...
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