Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor

LI Nan; WANG Yue-sheng; YU Gui-lan

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(9): 935-942

LI Nan, WANG Yue-sheng, YU Gui-lan. Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 935-942.

Citation:

LI Nan, WANG Yue-sheng, YU Gui-lan. Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 935-942.

Citation:

LI Nan, WANG Yue-sheng, YU Gui-lan. Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor[J]. Applied Mathematics and Mechanics, 2004, 25(9): 935-942.

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Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor

1.
Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P. R. China;

Received Date: 2002-09-13
Rev Recd Date: 2004-06-08
Publish Date: 2004-09-15

Abstract

Abstract

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle.As an example,the steady frictional sliding of an elastic half-space in contact with a rigid flat surface was considered in details.A quartic complex characteristic equation was derived and its solution behavior in the unit circle was discussed.An explicit expression for the instabilility condition of the interfacial slip waves was presented.
- frictional contact,
- slip wave,
- instability,
- Stroh formalism,
- surface impedance tensor

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References(11)

References

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