Existence of Exceptional Body Waves and Subsonic Surface Waves in Monoclinic and Orthotropic Materials

被引:1
|
作者
Ting, T. C. T. [1 ]
机构
[1] Stanford Univ, Div Mech & Computat, Stanford, CA 94305 USA
关键词
ANISOTROPIC ELASTIC-MATERIALS; BARNETT-LOTHE TENSORS; SECULAR EQUATION; RAYLEIGH-WAVES; LAYERED PLATE; HALF-SPACES; FORMALISM; CRYSTALS; STROH;
D O I
10.1007/978-90-481-9893-1_1
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Explicit conditions are given for the existence of an exceptional body wave in monoclinic materials with the symmetry plane at x(1) = 0, x(2) = 0 or x(3) = 0 and in orthotropic materials with the symmetry planes coinciding with the coordinate planes. The non-existence of an exceptional body wave ensures the existence of a subsonic surface wave. If an exceptional body wave exists, explicit conditions are given for the existence of a subsonic surface wave in monoclinic and orthotropic materials except when trL(v) needs to be computed.
引用
收藏
页码:3 / 18
页数:16
相关论文
共 50 条
  • [1] Explicit conditions for the existence of exceptional body waves and subsonic surface waves in anisotropic elastic solids
    Ting, T. C. T.
    WAVE MOTION, 2009, 46 (05) : 323 - 335
  • [2] Surface waves in orthotropic incompressible materials
    Destrade, M
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 110 (02): : 837 - 840
  • [3] Waves in wood: elastic waves in cylindrically orthotropic materials
    Martin, PA
    Berger, JR
    FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 182 - 186
  • [4] EXISTENCE OF SYMMETRICAL SURFACE-WAVES AND THEIR RELATION WITH LEAKY SURFACE-WAVES IN CUBIC MATERIALS
    WANG, L
    PHYSICA SCRIPTA, 1992, T44 : 128 - 132
  • [5] The Tamm exceptional surface waves
    A. S. Savchenko
    A. S. Tarasenko
    S. V. Tarasenko
    V. G. Shavrov
    Doklady Physics, 2012, 57 : 387 - 389
  • [6] The Tamm exceptional surface waves
    Savchenko, A. S.
    Tarasenko, A. S.
    Tarasenko, S. V.
    Shavrov, V. G.
    DOKLADY PHYSICS, 2012, 57 (10) : 387 - 389
  • [7] Exceptional surface and compound waves
    Mackay, Tom G.
    Zhou, Chenzhang
    Lakhtakia, Akhlesh
    METAMATERIALS XIII, 2022, 12130
  • [8] RADIATION FROM SUBSONIC SURFACE WAVES
    COOK, RK
    YOUNG, JM
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1963, 35 (11): : 1894 - &
  • [9] EXCEPTIONAL WAVES IN A CONSTRAINED ELASTIC BODY
    CHADWICK, P
    WHITWORTH, AM
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1986, 39 : 309 - 325
  • [10] Peridynamic modeling of nonlinear surface acoustic waves propagating in orthotropic materials
    Liu, Zaiwei
    Lin, Bin
    Liang, Xiaohu
    Ma, Xiaokang
    Wan, Yangfan
    ULTRASONICS, 2023, 134