On elastic waves in a wedge

被引：0
|
作者：
Zavorokhin G.L. [1 ]
Nazarov A.I. [1 ]
机构：
[1] St. Petersburg State University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2011年 / 175卷 / 6期
关键词：
Russia; Numerical Computation; Elastic Wave; Fundamental Mode; Rigorous Proof;
D O I：
10.1007/s10958-011-0380-0
中图分类号：
学科分类号：
摘要：
The existence of waves propagating along the edge of an elastic wedge has been established by many authors by physically rigorous arguments on the base of numerical computations. A mathematically rigorous proof for a wedge with aperture angle less than π/2 was presented by I. Kamotskii. We supplement the I. Kamotskii result and prove the existence of fundamental modes for some range of aperture angles greater than π/2. Bibliography: 7 titles. © 2011 Springer Science+Business Media, Inc.
引用
收藏
页码：646 / 650
页数：4
相关论文
共 50 条
  • [1] ELASTIC WEDGE WAVES
    PARKER, DF
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1992, 40 (07) : 1583 - 1593
  • [2] Propagation of Rayleigh waves in an elastic wedge
    Tolipov, KB
    RUSSIAN JOURNAL OF NONDESTRUCTIVE TESTING, 2002, 38 (07) : 493 - 497
  • [3] Propagation of Rayleigh Waves in an Elastic Wedge
    Kh. B. Tolipov
    Russian Journal of Nondestructive Testing, 2002, 38 : 493 - 497
  • [4] DIFFRACTION OF ELASTIC-WAVES BY A RIGID WEDGE
    LARSEN, J
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1981, 376 (1767): : 609 - 617
  • [5] Surface acoustic waves in an elastic wedge media
    Tolipov, Kh. B.
    TECHNICAL PHYSICS, 2012, 57 (09) : 1321 - 1324
  • [6] Surface acoustic waves in an elastic wedge media
    Kh. B. Tolipov
    Technical Physics, 2012, 57 : 1321 - 1324
  • [7] Symmetry effects on elastic wedge waves at anisotropic edges
    Pupyrev, Pavel D.
    Lomonosov, Alexey M.
    Hess, Peter
    Mayer, Andreas P.
    JOURNAL OF APPLIED PHYSICS, 2014, 115 (24)
  • [8] Nonlinear Elastic Waves in a Solid Isotropic Wedge with Defects
    Korobov, A. I.
    Agafonov, A. A.
    Izosimova, M. Yu.
    TECHNICAL PHYSICS, 2018, 63 (03) : 374 - 380
  • [9] Stagnant waves in an elastic wedge-shaped plate
    Kh. B. Tolipov
    Acoustical Physics, 2013, 59 : 447 - 452
  • [10] Nonlinear Elastic Waves in a Solid Isotropic Wedge with Defects
    A. I. Korobov
    A. A. Agafonov
    M. Yu. Izosimova
    Technical Physics, 2018, 63 : 374 - 380
12345