Cubically Nonlinear Waves in a Piezoelastic Material

被引:0
|
作者
J. J. Rushchitsky
S. V. Sinchilo
I. N. Khotenko
机构
[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics
来源
International Applied Mechanics | 2004年 / 40卷
关键词
piezopowder; piezoelasticity; cubically nonlinear wave theory; wave evolution; third harmonic; computer modeling;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:557 / 564
页数:7
相关论文
共 50 条
  • [1] Cubically nonlinear waves in a piezoelastic material
    Rushchitsky, JJ
    Sinchilo, SV
    Khotenko, IN
    INTERNATIONAL APPLIED MECHANICS, 2004, 40 (05) : 557 - 564
  • [2] On the interaction of cubically nonlinear transverse plane waves in an elastic material
    Rushchitsky, J. J.
    Savel'eva, E. V.
    INTERNATIONAL APPLIED MECHANICS, 2006, 42 (06) : 661 - 668
  • [3] On the interaction of cubically nonlinear transverse plane waves in an elastic material
    J. J. Rushchitsky
    E. V. Savel’eva
    International Applied Mechanics, 2006, 42 : 661 - 668
  • [4] Plane waves in cubically nonlinear elastic media
    Cattani, C
    Rushchitskii, YY
    INTERNATIONAL APPLIED MECHANICS, 2002, 38 (11) : 1361 - 1365
  • [5] Plane Waves in Cubically Nonlinear Elastic Media
    C. Cattani
    Ya. Ya. Rushchitskii
    International Applied Mechanics, 2002, 38 : 1361 - 1365
  • [6] Standing and propagating waves in cubically nonlinear media
    Enflo, Bengt O.
    Hedberg, Claes M.
    Rudenko, Oleg V.
    MATHEMATICAL MODELING OF WAVE PHENOMENA, 2006, 834 : 187 - +
  • [7] Evolution Equations for Plane Cubically Nonlinear Elastic Waves
    J. J. Rushchitsky
    C. Cattani
    International Applied Mechanics, 2004, 40 : 70 - 76
  • [8] Evolution equations for plane cubically nonlinear elastic waves
    Rushchitsky, JJ
    Cattani, C
    INTERNATIONAL APPLIED MECHANICS, 2004, 40 (01) : 70 - 76
  • [9] Cubically nonlinear versus quadratically nonlinear elastic waves: Main wave effects
    Cattani, C
    Rushchitskii, YY
    INTERNATIONAL APPLIED MECHANICS, 2003, 39 (12) : 1361 - 1399
  • [10] Cubically Nonlinear Versus Quadratically Nonlinear Elastic Waves: Main Wave Effects
    C. Cattani
    Ya. Ya. Rushchitskii
    International Applied Mechanics, 2003, 39 : 1361 - 1399