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Earthquakes and Structures
  Volume 9, Number 1, July 2015, pages 173-194

1D finite element artificial boundary method for layered half space site response from obliquely incident earthquake
Mi Zhao, Houquan Yin, Xiuli Du, Jingbo Liu and Lingyu Liang

    Site response analysis is an important topic in earthquake engineering. A time-domain numerical method called as one-dimensional (1D) finite element artificial boundary method is proposed to simulate the homogeneous plane elastic wave propagation in a layered half space subjected to the obliquely incident plane body wave. In this method, an exact artificial boundary condition combining the absorbing boundary condition with the inputting boundary condition is developed to model the wave absorption and input effects of the truncated half space under layer system. The spatially two-dimensional (2D) problem consisting of the layer system with the artificial boundary condition is transformed equivalently into a 1D one along the vertical direction according to Snell’s law. The resulting 1D problem is solved by the finite element method with a new explicit time integration algorithm. The 1D finite element artificial boundary method is verified by analyzing two engineering sites in time domain and by comparing with the frequency-domain transfer matrix method with fast Fourier transform.
Key Words
    seismic site response analysis; layered half space; oblique incidence; Snell’s law; finite element method; artificial boundary condition
Mi Zhao, Houquan Yin, Xiuli Du and Lingyu Liang: The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China

Jingbo Liu: Department of Civil Engineering, Tsinghua University, Beijing 100084, China

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