Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance

Chen Xianyao; Cheng Changjun

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Chen Xianyao, Cheng Changjun. Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1135-1142.

Citation:

Chen Xianyao, Cheng Changjun. Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1135-1142.

Citation:

Chen Xianyao, Cheng Changjun. Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1135-1142.

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Inverse Problem for the Viscoelastic Medium with Discontinuous Wave Impedance

Chen Xianyao¹,
Cheng Changjun^2,3

1.
Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
3.
Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 1998-06-01
Rev Recd Date: 1999-06-25
Publish Date: 1999-11-15

Abstract

Abstract

In this paper, the inverse problem for the viscoelastic medium is investigated in the time domain, in which the wave impedance of the medium is discontinuous at the rear interface. The differentio-integral equations governing the behavior of the scattering and propagation operators are utilized to reconstruct the relaxation modulus of the viscoelastic medium. A new approach, in which only the one-side measurement reflection data for one round trip through the viscoelastic layer, is developed. The numerical examples are given at the end of the paper. It is shown that the curves of the reconstructed moduli coincide very well with the original relaxation moduli.
- viscoelastic medium,
- inverse scattering,
- inversion procedure,
- Volterra integral equation,
- relaxation modulus,
- one round trip,
- numerical examples

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References(6)

References

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