Mixing of collinear plane wave pulses in elastic solids with quadratic nonlinearity

被引：71

作者：

Chen, Zimu ^{[1
]}

Tang, Guangxin ^{[2
]}

Zhao, Youxun ^{[3
]}

Jacobs, Laurence J. ^{[4
]}

Qu, Jianmin ^{[5
]}

机构：

[1] Beihang Univ, Sch Mat Sci & Engn, Beijing 100191, Peoples R China

[2] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

[3] Southwest Jiaotong Univ, Sch Civil Engn, Chengdu, Peoples R China

[4] Georgia Inst Technol, Sch Civil & Environm Engn, Atlanta, GA 30332 USA

[5] Northwestern Univ, Dept Civil & Environm Engn, Evanston, IL 60208 USA

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 2014年 / 136卷 / 05期

关键词：

GUIDED CIRCUMFERENTIAL WAVES; ULTRASONIC-DETECTION;

D O I：

10.1121/1.4896567

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper derives a set of necessary and sufficient conditions for generating resonant waves by two propagating time-harmonic plane waves. It is shown that in collinear mixing, a resonant wave can be generated either by a pair of longitudinal waves, in which case the resonant mixing wave is also a longitudinal wave, or by a pair of longitudinal and transverse waves, in which case the resonant wave is a transverse wave. In addition, the paper obtains closed-form analytical solutions to the resonant waves generated by two collinearly propagating sinusoidal pulses. The results show that amplitude of the resonant pulse is proportional to the mixing zone size, which is determined by the spatial lengths of the input pulses. Finally, numerical simulations based on the finite element method and experimental measurements using one-way mixing are conducted. It is shown that both numerical and experimental results agree well with the analytical solutions. (C) 2014 Acoustical Society of America.

引用

页码：2389 / 2404

页数：16

共 15 条

[1] The use of non-collinear mixing for nonlinear ultrasonic detection of plasticity and fatigue [J].

Croxford, Anthony J. ;

Wilcox, Paul D. ;

Drinkwater, Bruce W. ;

Nagy, Peter B. .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2009, 126 (05) :EL117-EL122

[2] Noncollinear wave mixing for measurement of dynamic processes in polymers: Physical ageing in thermoplastics and epoxy cure [J].

Demcenko, A. ;

Koissin, V. ;

Korneev, V. A. .

ULTRASONICS, 2014, 54 (02) :684-693

[3] Non-collinear wave mixing for non-linear ultrasonic detection of physical ageing in PVC [J].

Demcenko, A. ;

Akkerman, R. ;

Nagy, P. B. ;

Loendersloot, R. .

NDT & E INTERNATIONAL, 2012, 49 :34-39

[4] Characterization of the non-linear elastic properties of aluminium alloys using ultrasonic evaluation under load [J].

Dubuget, M ;

ElGuerjouma, R ;

Dubois, S ;

Baboux, JC ;

Vincent, A .

ALUMINIUM ALLOYS: THEIR PHYSICAL AND MECHANICAL PROPERTIES, PTS 1-3, 1996, 217 :951-956

[5] Non-linear Ultrasonic NDE of Titanium Diffusion Bonds [J].

Escobar-Ruiz, Edwill ;

Ruiz, Alberto ;

Hassan, Waled ;

Wright, David C. ;

Collison, Ian J. ;

Cawley, Peter ;

Nagy, Peter B. .

JOURNAL OF NONDESTRUCTIVE EVALUATION, 2014, 33 (02) :187-195

[6] Micro-crack detection using a collinear wave mixing technique [J].

Jiao, Jingpin ;

Sun, Junjun ;

Li, Nan ;

Song, Guorong ;

Wu, Bin ;

He, Cunfu .

NDT & E INTERNATIONAL, 2014, 62 :122-129

[7] NONLINEAR GENERATION OF ELASTIC-WAVES IN CRYSTALLINE ROCK [J].

JOHNSON, PA ;

SHANKLAND, TJ ;

OCONNELL, RJ ;

ALBRIGHT, JN .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1987, 92 (B5) :3597-3602

[8] INTERACTION OF ELASTIC WAVES IN AN ISOTROPIC SOLID [J].

JONES, GL ;

KORBETT, DR .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1963, 35 (01) :5-&

[9] Possible second-order nonlinear interactions of plane waves in an elastic solid [J].

Korneev, V. A. ;

Demcenko, A. .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2014, 135 (02) :591-598

[10] Measuring acoustic nonlinearity parameter using collinear wave mixing [J].

Liu, Minghe ;

Tang, Guangxin ;

Jacobs, Laurence J. ;

Qu, Jianmin .

JOURNAL OF APPLIED PHYSICS, 2012, 112 (02)

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