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Structural Engineering and Mechanics
  Volume 25, Number 2, January30 2007 , pages 181-200

A decoupling FEM for simulating near-field wave
motion in two-phase media
S. L. Chen, Z. P. Liao and J. Chen

    A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green?s theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao?s Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.
Key Words
    two-phase media; transmitting boundary; near-field wave motion; decoupling technique
S. L. Chen; College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Z. P. Liao; Institute of Engineering Mechanics, China Seismological Bureau, Harbin 150080, China
J. Chen; The State Key Laboratory of Vibration, Shock & Noise, Shanghai Jiao Tong University, Shanghai 20030, China

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