Propagation of Harmonic Waves Through a Micro Gap With Consideration of Frictional Contact

CHEN Xiao-yun; YU Gui-lan

doi:10.3879/j.issn.1000-0887.2011.11.007

Volume 32 Issue 11

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CHEN Xiao-yun, YU Gui-lan. Propagation of Harmonic Waves Through a Micro Gap With Consideration of Frictional Contact[J]. Applied Mathematics and Mechanics, 2011, 32(11): 1329-1341. doi: 10.3879/j.issn.1000-0887.2011.11.007

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Propagation of Harmonic Waves Through a Micro Gap With Consideration of Frictional Contact

doi: 10.3879/j.issn.1000-0887.2011.11.007

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

Received Date: 2011-01-07
Rev Recd Date: 2011-09-02
Publish Date: 2011-11-15

Abstract

Abstract

Propagation of elastic waves through a micro gap between two solids with consideration of frictional contact was investigated.By using the Fourier analysis technique and corrective solution method, the nonlinear boundary problem was 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 were discussed in detail.The results show that higher harmonics are generated due to the local contact/slip at the interface.The dependence of reflection and refraction coefficients for higher harmonics on the initial gap width may provide us a theoretical foundation for non-destructive testing of a pre-existing micro gap.
- harmonic waves,
- micro gap,
- frictional contact,
- Fourier analysis

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References(18)

References

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