Time domain method for calculating free field motion of a layered
half-space subjected to obliquely incident body waves
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Li Shanyou (ÀîɽÓÐ)1, Zhu Haiyan (Ö캣Ñà)2 and Gao Shufang
(¸ßÊç·¼)3
1. Institute of Engineering Mechanics, China Earthquake Administration,
Harbin 150080, China
2. Earthquake Administration of Fujian Province, Fuzhou 350003, China
3. No.703 Team of Bureau of Geological Exploration of Nonferrous Metals of
Heilongjiang Province, Harbin 150300, China
Abstract:In numerical
simulation of wave scattering under oblique incident body waves using the finite
element method, the free field motion at the incident lateral boundary induced
by the background layered half-space complicates the computational area. In
order to replace the complex frequency domain method, a time-domain method to
calculate the free field motion of a layered half-space subjected to oblique
incident body waves is developed in this paper. The new method decouples the
equations of motion used in the finite element method and offers an
interpolation formula of the free field motion. This formula is based on the
fact that the apparent horizontal velocity of the free field motion is constant
and can be calculated exactly. Both the theoretical analysis and numerical
results demonstrate that the proposed method offers a high degree of accuracy.
Keywords: layered half-space; wave scattering;
obliquely incidence; artificial boundary; explicit finite element method; Snell
law
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