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

页码：64 / 74

页数：11

共 50 条

[31] Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids [J].

Schanz, M .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2001, 25 (4-5) :363-376

[32] Thermal Stress Analysis of 3D Anisotropic Materials Involving Domain Heat Source by the Boundary Element Method [J].

Shiah, Y. C. ;

Nguyen Anh Tuan ;

Hematiyan, M. R. .

JOURNAL OF MECHANICS, 2019, 35 (06) :839-850

[33] A study on singular boundary integrals and stability of 3D time domain boundary element method [J].

Sun, Fangling ;

Wu, Zhipeng ;

Chen, Yongqiang .

APPLIED MATHEMATICAL MODELLING, 2023, 115 :724-753

[34] Second-order wave diffraction around 3-D bodies by a time-domain method [J].

Bai, W ;

Teng, B .

CHINA OCEAN ENGINEERING, 2001, 15 (01) :73-84

[35] Second-Order Wave Diffraction Around 3-D Bodies by A Time-Domain Method [J].

柏威 ;

滕斌 .

ChinaOceanEngineering, 2001, (01) :73-84

[36] A comprehensive study on the 2D boundary element method for anisotropic thermoelectroelastic solids with cracks and thin inhomogeneities [J].

Pasternak, Iaroslav ;

Pasternak, Roman ;

Sulym, Heorhiy .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (02) :419-433

[37] A general algorithm for the numerical evaluation of domain integrals in 3D boundary element method for transient heat conduction [J].

Dong, Yunqiao ;

Zhang, Jianming ;

Xie, Guizhong ;

Lu, Chenjun ;

Han, Lei ;

Wang, Pan .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 51 :30-36

[38] NUMERICAL STUDY OF 3-D ANISOTROPIC PIEZOELECTRIC MATERIALS BY BOUNDARY ELEMENT METHOD BASED ON A NEW GREEN FUNCTION [J].

Lei, Jun ;

Liu, Sheng-wei ;

Sun, Peng-bo ;

Xie, Long-tao .

PROCEEDINGS OF 2016 SYMPOSIUM ON PIEZOELECTRICITY, ACOUSTIC WAVES, AND DEVICE APPLICATIONS (SPAWDA), 2016, :197-201

[39] Matrix-Free Time-Domain Method for General Electromagnetic Analysis in 3-D Unstructured Meshes-Modified-Basis Formulation [J].

Yan, Jin ;

Jiao, Dan .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2016, 64 (08) :2371-2382

[40] Calculating 3-D multi-domain heat conduction problems by the virtual boundary element-free Galerkin method [J].

Yang, Dong-Sheng ;

Ling, Jing ;

Wang, Hong-Ying ;

Huang, Zong-Hui .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2020, 77 (03) :215-227

← 1 2 3 4 5 →