The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata

Chen Rong; Xue Songtao; Chen Zhuchang; Chen Jun

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Chen Rong, Xue Songtao, Chen Zhuchang, Chen Jun. The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata[J]. Applied Mathematics and Mechanics, 2000, (1): 45-52.

Citation:

Chen Rong, Xue Songtao, Chen Zhuchang, Chen Jun. The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata[J]. Applied Mathematics and Mechanics, 2000, (1): 45-52.

Citation:

Chen Rong, Xue Songtao, Chen Zhuchang, Chen Jun. The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata[J]. Applied Mathematics and Mechanics, 2000, (1): 45-52.

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The Numerical Solution of Green’s Functions for Transversely Isotropic Elastic Strata

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

Received Date: 1999-03-05
Rev Recd Date: 1999-07-25
Publish Date: 2000-01-15

Abstract

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 G_reen'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.
- transversely isotropic,
- layered elastic strata,
- Green’s function

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References(6)

References

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