DYNAMIC ANALYSIS OF ELASTIC WAVES IN A ELLIPTIC CAVITY IN AN INHOMOGENEOUS MEDIUM WITH TWO-DIMENSIONAL DENSITY VARIATION

被引：1
|
作者：
Sun, Chen-xi [1 ]
Yang, Zai-lin [1 ,2 ]
Yang, Yong [1 ,2 ]
机构：
[1] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China
[2] Harbin Engn Univ, Key Lab Adv Mat Ship & Mech, Minist Ind & Informat Technol, Harbin, Peoples R China
来源：
PROCEEDINGS OF THE 2020 15TH SYMPOSIUM ON PIEZOELECTRCITY, ACOUSTIC WAVES AND DEVICE APPLICATIONS (SPAWDA) | 2021年
基金：
中国国家自然科学基金;
关键词：
An elliptic cavity of inhomogeneous infinite medium; Conformal mapping method; Two dimensional density variation;
D O I：
10.1109/SPAWDA51471.2021.9445549
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper presents an analytical solution of SH waves scattering by an elliptic cavity which is modelled in an inhomogeneous unbounded space. The density of wave propagation medium changes in two dimensions. Based on complex function method, the form of two-dimensional density variation is studied. By extending the analytical solution of the dynamic stress concentration problem of elliptic holes in inhomogeneous media with one-dimensional density variation, a new form of density variation is found, and two conformal mapping methods are used to transform the variable coefficient Helmholtz equation into the standard Helmholtz equation to solve the new elliptic hole scattering problem. Through numerical examples, distribution of dynamic stress at the elliptic cavity's boundary is discussed. Wave number, inhomogeneous parameter and cavity's shape parameter have significant influence on dynamic stress concentration.
引用
收藏
页码：531 / 535
页数：5
相关论文
共 50 条
  • [21] Deformation of inhomogeneous elastic solids with two-dimensional damage
    Luo, JJ
    Daniel, IM
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2001, 68 (04): : 528 - 536
  • [22] Dynamic stress analysis of an elliptical cavity during elastic wave propagation in a density-inhomogeneous medium with the modulus varying as a power function
    Yang, Zai-lin
    Zhu, Yun
    Ren, Hui-qi
    Yang, Yong
    Zhao, Jian
    Chen, Yi-cun
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2022, 96
  • [23] Analytical study of SH wave scattering by a cylindrical cavity in the two-dimensional and approximately linear inhomogeneous medium
    Jiang, Guan-xi-xi
    Yang, Zai-lin
    Sun, Cheng
    Song, Yun-qiu
    Yang, Yong
    WAVES IN RANDOM AND COMPLEX MEDIA, 2021, 31 (06) : 1799 - 1817
  • [24] Cavity flows of elastic liquids: Two-dimensional flows
    Pakdel, P
    Spiegelberg, SH
    McKinley, GH
    PHYSICS OF FLUIDS, 1997, 9 (11) : 3123 - 3140
  • [25] Scattering by a two-dimensional cavity filled with an anisotropic medium
    Wei, B
    Ge, D
    WAVES IN RANDOM MEDIA, 2003, 13 (04): : 223 - 240
  • [26] GAUSSIAN BEAMS IN TWO-DIMENSIONAL ELASTIC INHOMOGENEOUS-MEDIA
    CERVENY, V
    PSENCIK, I
    GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1983, 72 (02): : 417 - 433
  • [27] THE INVERSE PROBLEM FOR A WEAKLY INHOMOGENEOUS TWO-DIMENSIONAL ACOUSTIC MEDIUM
    SACKS, PE
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (05) : 1167 - 1193
  • [28] A hybrid technique for the analysis of two-dimensional scattering of harmonic waves by a penetrable inhomogeneous object
    Rybin, Oleg
    Shulga, Sergey
    ELECTROMAGNETICS, 2022, 42 (02) : 127 - 139
  • [29] PROPAGATION OF LOVE WAVES IN AN ELASTIC ISOTROPIC INCOMPRESSIBLE MEDIUM SUBJECT TO A HIGH TWO-DIMENSIONAL STRESS
    OHNABE, H
    NOWINSKI, JL
    ACTA MECHANICA, 1979, 33 (04) : 253 - 264
  • [30] Analysis of two-dimensional fields in the inhomogeneous media
    Chen, Aixin
    Chen, Aihong
    IEEE 2007 INTERNATIONAL SYMPOSIUM ON MICROWAVE, ANTENNA, PROPAGATION AND EMC TECHNOLOGIES FOR WIRELESS COMMUNICATIONS, VOLS I AND II, 2007, : 884 - +
12345