Convolution quadrature time-domain boundary element method for 2-D and 3-D elastodynamic analyses in general anisotropic elastic solids

被引：21
|
作者：
Furukawa, Akira [1 ]
Saitoh, Takahiro [2 ]
Hirose, Sohichi [1 ]
机构：
[1] Tokyo Inst Technol, Grad Sch Informat Sci & Engn, Dept Mech & Environm Informat, Meguro Ku, Tokyo 1528552, Japan
[2] Gunma Univ, Fac Sci & Technol, Div Environm Engn Sci, Kiryu, Gunma 3768515, Japan
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2014年 / 39卷
关键词：
Boundary element method; Convolution quadrature method; General anisotropy; DYNAMIC CRACK ANALYSIS; BEM; DISCRETIZATION; FORMULATION; SCATTERING;
D O I：
10.1016/j.enganabound.2013.11.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper presents a convolution quadrature time-domain boundary element method for 2-D and 3-D elastic wave propagation in general anisotropic solids. A boundary element method (BEM) has been developed as an effective and accurate numerical approach for wave propagation problems. However, a conventional time-domain BEM has a critical disadvantage; it produces unstable numerical solutions for a small time increment. To overcome this disadvantage, in this paper, a convolution quadrature method (CQM) is applied to the time-discretization of boundary integral equations in 2-D and 3-D general anisotropic solids. As numerical examples, the problems of elastic wave scattering by a cavity are solved to validate the present method. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：64 / 74
页数：11
相关论文
共 50 条
  • [31] Finite element method and boundary element method iterative coupling algorithm for 2-D elastodynamic analysis
    Duofa Ji
    Weidong Lei
    Zhijian Liu
    Computational and Applied Mathematics, 2020, 39
  • [32] Finite element method and boundary element method iterative coupling algorithm for 2-D elastodynamic analysis
    Ji, Duofa
    Lei, Weidong
    Liu, Zhijian
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [33] Time-domain analysis of wave propagation in 3-D unbounded domains by the scaled boundary finite element method
    Chen, Xiaojun
    Birk, Carolin
    Song, Chongmin
    SOIL DYNAMICS AND EARTHQUAKE ENGINEERING, 2015, 75 : 171 - 182
  • [34] Stress analysis of 3D generally anisotropic elastic solids using the boundary element method
    Tan, C.L.
    Shiah, Y.C.
    Lin, C.W.
    CMES - Computer Modeling in Engineering and Sciences, 2009, 41 (03): : 195 - 214
  • [35] A discrete wavenumber boundary element method for study of the 3-D response of 2-D scatterers
    Papageorgiou, AS
    Pei, DL
    EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1998, 27 (06): : 619 - 638
  • [36] Stress Analysis of 3D Generally Anisotropic Elastic Solids Using the Boundary Element Method
    Tan, C. L.
    Shiah, Y. C.
    Lin, C. W.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 41 (03): : 195 - 214
  • [37] A boundary element method for solving 2-D and 3-D static gradient elastic problems - Part I: Integral formulation
    Polyzos, D
    Tsepoura, KG
    Tsinopoulos, S
    Beskos, DE
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (26-27) : 2845 - 2873
  • [38] A boundary element method for solving 2-D and 3-D static gradient elastic problems - Part II: Numerical implementation
    Tsepoura, KG
    Tsinopoulos, S
    Polyzos, D
    Beskos, DE
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (26-27) : 2875 - 2907
  • [39] A BOUNDARY FORMULATION FOR THE DEAD WEIGHT INTEGRAL IN 2-D ELASTODYNAMIC TIME DOMAIN BEM
    ANTES, H
    MECHANICS RESEARCH COMMUNICATIONS, 1992, 19 (04) : 273 - 278
  • [40] A 3-D Discontinuous Spectral Element Time-Domain Method for Maxwell's Equations
    Lee, Joon-Ho
    Chen, Jiefu
    Liu, Qing Huo
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (09) : 2666 - 2674
12345