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The numerical solutions of Green's functions for transversely isotropic elastic strata

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Abstract

In this paper, a model of transversely isotropic elastic strata is used to simulate the soil layers situated on a half space. Instead of the half space, an artificial transmitting boundary is used to absorb the vibration energy. The displacement formulas at any soil layer interface under vertical or horizontal harmonic ring loads are obtained by using the thin layer element method. From these formulas, the explicit solutions of Green's functions—the displacement responses at any interface of these strata under vertical and horizon harmonic point loads—are derived. The examples show that the method presented in this paper is close to the theoretical method and the transversely isotropic property has evident influence on the Green's functions.

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Authors and Affiliations

  1. Institute of Structural Theory, Tongji University, 200092, Shanghai, P R China

    Chen Rong Master Degree, Associate Professor, Xue Songtao, Chen Zhuchang & Chen Jun

Authors
  1. Chen Rong Master Degree, Associate Professor
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  2. Xue Songtao
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  3. Chen Zhuchang
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  4. Chen Jun
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Additional information

Communicated by He Fubao

Foundation item: the National Natural Science Foundation of China (59778033); the Cultural Ministry of Japan (International Science Research) No. 09044127

Biography: Chen Rong (1944 ∼)

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Rong, C., Songtao, X., Zhuchang, C. et al. The numerical solutions of Green's functions for transversely isotropic elastic strata. Appl Math Mech 21, 49–58 (2000). https://doi.org/10.1007/BF02458539

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  • DOI: https://doi.org/10.1007/BF02458539

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