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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1022-1030.

• 论文 • 上一篇    下一篇

ANALYSIS OF DYNAMIC INSTABILITY OF INTERFACIAL SLIP WAVES BASED ON THE SURFACE IMPEDANCE TENSOR

李楠1, 汪越胜1, 于桂兰2   

  1. 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Department of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
  • 收稿日期:2002-09-13 修回日期:2004-06-08 出版日期:2004-09-18 发布日期:2004-09-18
  • 通讯作者: WANG Yuesheng(Corresponding author,Tel:+861051688417; Fax:+861051682094;Email:yswang@center.njtu.edu.cn) E-mail:yswang@center.njtu.edu.cn
  • 基金资助:

    the National Natural Science Foundation of China(49974007);the National Natural Science Foundation of China for Outstanding Young Scientists(10025211)

ANALYSIS OF DYNAMIC INSTABILITY OF INTERFACIAL SLIP WAVES BASED ON THE SURFACE IMPEDANCE TENSOR

LI Nan1, WANG Yue-sheng1, YU Gui-lan2   

  1. 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P. R. China;
    2. Department of Civil Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
  • Received:2002-09-13 Revised:2004-06-08 Online:2004-09-18 Published:2004-09-18
  • Supported by:

    the National Natural Science Foundation of China(49974007);the National Natural Science Foundation of China for Outstanding Young Scientists(10025211)

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摘要： 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 instability condition of the interfacial slip waves was presented.

关键词: frictional contact, slip wave, instability, Stroh formalism, surface impedance tensor

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 instability condition of the interfacial slip waves was presented.

Key words: frictional contact, slip wave, instability, Stroh formalism, surface impedance tensor

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