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Propagation of harmonic waves through micro gap with consideration of frictional contact

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Abstract

Transmission of elastic waves through a micro gap between two solids with consideration of frictional contact is investigated. By using the Fourier analysis technique and the corrective solution method, the nonlinear boundary problem is reduced to a set of algebraic equations. Numerical results exhibit the locations and extents of separation, slip, and stick zones, the interface tractions, and the energy partition. The effects of gap width, frictional coefficients, and the incident angle on the wave transmission are discussed in detail. The results show that higher harmonics are generated due to the local contact/slip at the interface.

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Authors and Affiliations

  1. School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, P. R. China

    Xiao-yun Chen  (陈小云) & Gui-lan Yu  (于桂兰)

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  1. Xiao-yun Chen  (陈小云)
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  2. Gui-lan Yu  (于桂兰)
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Correspondence to Gui-lan Yu  (于桂兰).

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Project supported by the National Natural Science Foundation of China (No. 10772022)

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Chen, Xy., Yu, Gl. Propagation of harmonic waves through micro gap with consideration of frictional contact. Appl. Math. Mech.-Engl. Ed. 32, 1423–1436 (2011). https://doi.org/10.1007/s10483-011-1512-7

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  • DOI: https://doi.org/10.1007/s10483-011-1512-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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