Hybrid Methods (FEM/BEM/EFM/Analytic)

 

[JA2] Liu, G.R., Tani, J., Watanabe, K. and Ohyoshi, T., A Semi-Exact Method for the Propagation of Harmonic Waves in Anisotropic Laminated Bars of Rectangular Cross Section, Wave Motion, U. S. A., Vol. 12, 1990, pp. 361-371.

[JA3] Liu, G.R., Tani, J., Watanabe, K. and Ohyoshi, T., Harmonic Wave Propagation in Anisotropic Laminated Strips, Journal of Sound and Vibration, U. K., Vol. 139(2), 1990, pp. 313-324.

[JA7] Liu, G.R., Tani, J., Watanabe, K. and Ohyoshi, T., Characteristics of Surface Wave Propagation along the Edge of an Anisotropic Laminated Semi-Infinite Plate, Wave Motion, U. S. A., Vol. 13, 1991, pp. 243-251.

[JA9] Liu, G.R., Tani, J., Ohyoshi, T. and Watanabe, K., Transient Waves in Anisotropic Laminated Plates, Part 1: Theory, ASME Journal of Vibration and Acoustics, U. S. A., Vol. 113, 1991, pp. 230-234.

[JA10] Liu, G.R., Tani, J., Ohyoshi, T. and Watanabe, K., Transient Waves in Anisotropic Laminated Plates, Part 2: Application, ASME Journal of Vibration and Acoustics, U. S. A., Vol. 113, 1991, pp. 235-239.

[JA11] (Japanese) Liu, G.R., Tani, J. and Ohyoshi, T., Lamb Waves in a Functionally Gradient Material Plates and its Transient Response, Part 1: Theory, Transactions of the Japan Society of Mechanical Engineers, Vol. 57(A), No. 535, 1991, pp. 603-608.

[JA12] (Japanese) Liu, G.R., Tani, J. and Ohyoshi, T., Lamb Waves in a Functionally Gradient Material Plates and its Transient Response, Part 2: Calculation Results, Transactions of the Japan Society of Mechanical Engineers, Japan, Vol. 57(A), No. 535, 1991, pp. 609-611.

[JA16] Liu, G.R., Achenbach, J. D., Kim, J. O., and Li, Z. L., A Combined Finite Element Method/Boundary Element Method for V(z) Curves of Anisotropic-Layer/Substrate Configurations, Journal of the Acoustical Society of America, U. S. A., Vol. 92(5), 1992, pp. 2734-2740.

[JA17] Liu, G.R., Tani, J., Surface Waves in Functionally Gradient Piezoelectric Material Plates, ASME Journal of Vibration and Acoustics, U. S. A., Vol. 116, 1994, pp. 440-448.

[JA27] Liu, G.R., Lam, K.Y., and Tani, J., A New Technique for Analyzing the 3-D Wave Fields in Anisotropic Laminates Excited by Point Harmonic Loads, JSME International Journal (C), Japan, Vol. 39, No. 4, 1996, pp. 679-686.

[JA53] Song, B., Liu, G. R., Lam, K.Y. and Amano, R.S., On A Higher-Order Bounded Discretization Scheme, International Journal for Numerical Methods in Fluids. Vol 32, 2000, pp. 881-897.

[JA86] Zheng, H., Liu, G.R., Tao, J.S. and Lam, K.Y., FEM/BEM Analysis Of Diesel Piston-Slap Induced Ship Hull Vibration And Underwater Noise, Applied Acoustics, Volume 62, Issue 4, April 2001, Pages 341-358.

[JA88] Gu, Y.T., Liu, G.R., A Meshless Local Petrov-Galerkin (MLPG) Method For Free And Forced Vibration Analyses For Solids, Computational Mechanics 27 (2001) 3, 188-198.

[JA89] Gu Y.T., Liu G.R., A Coupled Element Free Galerkin/Boundary Element Method For Stress Analysis Of Two-Dimension Solid, Computer Methods in Applied Mechanics and Engineering. Vol 190(34), pp 4405-4419. 2001.

[JA94] Cheng, M., Liu, G.R., Lam, K.Y., Numerical Simulation Of Flow Past A Rotationally Oscillating Cylinder, Computers & Fluids, 30(3), 2001, pp. 365-392.

[JA95] Song, B., Liu, G.R., and R. S. Amano, Applications Of A Higher-Order Bounded Numerical Scheme To Turbulent Flows, International Journal for Numerical Methods in Fluids, 35 (4), 2001, pp. 371-394.

[JA98] Geng, J.P., Tan, K.B.C., and Liu G. R., Application Of Finite Element Analysis In Implant Dentistry: A Review Of The Literature, Journal of Prosthetic Dentistry. Vol. 85, 2001, pp.585-598.

[JA108] Song, B., Amano, R.S, Liu, G.R., On Computations Of Complex Turbulent Flow By Using Nonlinear K-Omega Model, Numerical Heat Transfer Part B-Fundamentals, Vol. 39: (5), MAY 2001, 421-434.

[JA116] Cai C. and Lam, K.Y., A Novel Technique In Boundary Integral Equations For Analyzing Acoustic Radiation From Axisymmetric Bodies, Journal of Sound and Vibration, 248(3), 2001, pp. 461-475.

[JA130] Liu, G.R., A Combined Finite Element/Strip Element Method For Analyzing Elastic Wave Scattering By Cracks And Inclusions In Laminates, Computational Mechanics. 28, 2002, pp. 76-82.

[JA135] Ishak, S.I, Liu, G.R., Lim, S.P. and Shang, H.M., Non-Destructive Evaluation of Crack Detection in Beams Using Transverse Impact, Journal of Sound and Vibration, 252(2), 2002, pp. 343-360.

[JA143] Liu, G.R., Cai, C., Zhao, J., Zheng, H. and Lam, K.Y., A Study On Avoiding Hyper-Singular Integrals In Exterior Acoustic Radiation Analysis. Applied Acoustics, 63, 2002, 643-657, 2002.

[JA144] Xu, Y.G. and Liu, G.R., Detection Of Flaws In Composite Materials From Scattered Elastic-Wave Field Using Modified mGA And A Local Optimizer, Computer Methods in applied Mechanics and Engineering 191, 2002, pp. 3929-3946.

[JA155] Cheng, M. and Liu, G.R., A Novel Finite Point Method For Flow Simulation. International Journal for Numerical Methods in Fluids. 39(12), 2002, pp. 1161 – 1178.

[JA156] Liu, G.R. and S.S. Quek., A Finite Element Study Of The Stress And Strain Fields Of Inas Quantum Dots Embedded In GaAs. Semicond. Sci. Tech., 17(6), 2002, pp. 630 – 643.

[JA167] Liu M.B., Liu G.R., Lam K.Y. and Zong Z., Smoothed Particle Hydrodynamics For Numerical Simulation Of Underwater Explosion. Computational Mechanics, 30: 106-118, 2003.

[JA170] Liu, M.B., Liu, G.R., Zong, Z., and Lam, K.Y., Computer Simulation Of High Explosive Explosion Using Smoothed Particle Hydrodynamic Methodology, Computers & Fluids, 32, 2003, pp. 305 – 322.

[JA175] (Unavailable) Liu M. B., Liu G. R., Lam K. Y., Comparative Study Of The Real And Artificial Detonation Models In Underwater Explosions, Journal of Engineering Simulation, 25(1), 2003.

[JA191] Gu YT and Liu GR, Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method, 27 (9): 905-917, 2003.