This paper describes modeling of second-harmonic generation by the primary horizontal shear (SH) mode propagation in layered planar structures with imperfect interfaces. Due to the elastic nonlinearity of the solid, there are second-order bulk driving forces in each solid layer and a second-order stress tensor at each surface/interface, accompanying the primary SH mode propagation. Within second-order perturbation, these bulk driving forces and stress tensors can be thought of as the excitation source of a series of double frequency Lamb modes (DFLMs) in terms of the approach of modal expansion analysis for waveguide excitation. The equation governing the expansion coefficient of each DFLM is developed. It is found that the expansion coefficient of each DFLM is directly coupled with the interfacial properties, characterized by the finite normal and tangential interfacial stiffnesses. Especially, the phase velocity mismatching between the primary SH mode and the DFLM, caused by the degradation of interface (with respect to the case of the perfect interface), can remarkably influence the efficiency of second-harmonic generation by the primary SH mode propagation. The potential is discussed of using the effect of second-harmonic generation by the primary SH mode propagation to evaluate the interfacial properties of layered structures.
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28 January 2013
Research Article|
January 30 2013
Analysis of second-harmonic generation by primary horizontal shear modes in layered planar structures with imperfect interfaces
Mingxi Deng;
Mingxi Deng
a)
1
Department of Physics, Logistics Engineering University
, Chongqing 401331, China
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Yanxun Xiang
Yanxun Xiang
2
School of Mechanical and Power Engineering, East China University of Science and Technology
, Shanghai 200237, China
Search for other works by this author on:
Mingxi Deng
1,a)
Yanxun Xiang
2
1
Department of Physics, Logistics Engineering University
, Chongqing 401331, China
2
School of Mechanical and Power Engineering, East China University of Science and Technology
, Shanghai 200237, China
a)
Electronic mail: [email protected].
J. Appl. Phys. 113, 043513 (2013)
Article history
Received:
October 04 2012
Accepted:
January 08 2013
Citation
Mingxi Deng, Yanxun Xiang; Analysis of second-harmonic generation by primary horizontal shear modes in layered planar structures with imperfect interfaces. J. Appl. Phys. 28 January 2013; 113 (4): 043513. https://doi.org/10.1063/1.4789375
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