Behavior of one-dimensional elastic waves at a unilateral contact interface between two piezoelectric solids

Lu Guihua; Zhao Man; Yue Qiang

doi:10.11883/1001-1455(2017)03-0520-08

Volume 37 Issue 3

Apr. 2017

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Lu Guihua, Zhao Man, Yue Qiang. Behavior of one-dimensional elastic waves at a unilateral contact interface between two piezoelectric solids[J]. Explosion And Shock Waves, 2017, 37(3): 520-527. doi: 10.11883/1001-1455(2017)03-0520-08

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Behavior of one-dimensional elastic waves at a unilateral contact interface between two piezoelectric solids

doi: 10.11883/1001-1455(2017)03-0520-08

Lu Guihua¹,
Zhao Man²,
Yue Qiang^{1
,
,}

1.
College of Water Conservancy and Civil Enginerring, Shandong Agriculture University, Taian 271018, Shandong, China
2.
School of Civil Enginerring, Shijiazhuang Tiedao University, Shijiazhuang 050043, Hebei, China

Received Date: 2015-09-10
Rev Recd Date: 2016-01-18
Publish Date: 2017-05-25

Abstract

Abstract

The behavior of one-dimensional elastic waves at a unilateral frictional contact piezoelectric material interface was studied theoretically in this thesis. When the incident wave is strong enough, the contact interface will separate or slip in local interface areas and non-linearity (boundary non-linearity) will pose as a serious problem, and high harmonics will be generated due to this non-linearity, thus not only causing difficulties in mathematics but giving rise to some new phenomena in physics. In this paper one-dimensional problems were discussed in details using the Fourier analysis, and the mix-boundary value problems with unknown regions were converted to a set of non-linear algebraic equations for a one-dimensional case. An iterative method was developed to determine the extent and location of the separation, slip and stick regions which vary with the external mechanical-electrical loads. The interface tractions, relative slip velocities and the amplitudes of the reflected and refracted high harmonics due to the boundary non-linearity were calculated. Their variation with the applied mechanical-electrical loads was discussed. It was found that, due to the mechanical-electrical coupling, the non-linearity of mechanical parameters would induce the non-linearity of electrical parameters, and the applied electrical fields would influence the interface states by changing the mechanical loads. The present research may enrich the wave theory of piezoelectricity and facilitate its practical application. For instance, we could evaluate the contact state and modulate an interface by detecting the mechanical or electrical information carried by high harmonics.
- piezoelectric material,
- frictional contact,
- elastic waves,
- high frequency harmonics,
- separation zones,
- slip zones

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References

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