Cubically nonlinear waves in a piezoelastic material

被引：2

作者：

Rushchitsky, JJ ^{[1
]}

Sinchilo, SV ^{[1
]}

Khotenko, IN ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2004年 / 40卷 / 05期

关键词：

piezopowder; piezoelasticity; cubically nonlinear wave theory; wave evolution; third harmonic; computer modeling;

D O I：

10.1023/B:INAM.0000037303.96396.a0

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper proposes a new deformation model of piezomaterials that includes linear, quadratic, and cubic, and piezoeffect mechanisms. A nonlinear system of equations describing the propagation of plane waves is derived. Two new problems are solved analytically: generation of the third harmonic of an SH-wave and generation and interaction of new SH- and SV-waves after SH- and SV-waves are excited. All data needed for computer modeling are determined. The results of computer modeling are discussed.

引用

页码：557 / 564

页数：8

共 18 条

[1] Comparative analysis of the profile evolutions of an elastic harmonic wave caused by the second and third harmonics [J].

Cattani, C ;

Rushchitsky, JJ ;

Sinchilo, SV .

INTERNATIONAL APPLIED MECHANICS, 2004, 40 (02) :183-189

[2] Cubically nonlinear elastic waves: Wave equations and methods of analysis [J].

Cattani, C ;

Rushchitskii, YY .

INTERNATIONAL APPLIED MECHANICS, 2003, 39 (10) :1115-1145

[3] Plane waves in cubically nonlinear elastic media [J].

Cattani, C ;

Rushchitskii, YY .

INTERNATIONAL APPLIED MECHANICS, 2002, 38 (11) :1361-1365

[4]

Dieulesaint E., 1974, Ondes Elastiques Dans Les Solides. Application au Traitement du Signal

[5]

KHOTEKNO IN, 1999, THESIS KIEV

[6] Nonlinear waves in two-phase piezoelectric powders [J].

Rushchitskii, YY ;

Khotenko, IN .

INTERNATIONAL APPLIED MECHANICS, 1998, 34 (08) :746-754

[7] Generation of the third harmonics by plane waves in Murnaghan materials [J].

Rushchitskii, YY ;

Cattani, C .

INTERNATIONAL APPLIED MECHANICS, 2002, 38 (12) :1482-1487

[8] Plane horizontal transverse waves in elastic piezopowders [J].

Rushchitskii, YY ;

Kovalenko, AP ;

Khotenko, IN .

INTERNATIONAL APPLIED MECHANICS, 2001, 37 (03) :369-378

[9]

Rushchitsky J. J., 1998, MICROSTRUCTURAL MAT

[10] Evolution equations for plane cubically nonlinear elastic waves [J].

Rushchitsky, JJ ;

Cattani, C .

INTERNATIONAL APPLIED MECHANICS, 2004, 40 (01) :70-76

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