A hypersingular time-domain BEM for 2D dynamic crack analysis in anisotropic solids

被引:13
|
作者
Wuensche, M. [1 ]
Zhang, Ch. [1 ]
Kuna, M. [2 ]
Hirose, S. [3 ]
Sladek, J. [4 ]
Sladek, V. [4 ]
机构
[1] Univ Siegen, Dept Civil Engn, D-57076 Siegen, Germany
[2] Tech Univ Bergakad Freiberg, Inst Mech & Fluid Dynam, D-09596 Freiburg, Germany
[3] Inst Technol, Dept Mech & Environm Informat, Tokyo 1528552, Japan
[4] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia
关键词
time-domain BEM; collocation method; Galerkin method; dynamic crack analysis; anisotropic solids; impact loading; dynamic stress intensity factors; BOUNDARY-ELEMENT METHOD; CONVOLUTION QUADRATURE; HARMONIC BEM; SCATTERING; BIEM;
D O I
10.1002/nme.2477
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A hypersingular time-domain boundary element method (BEM) for transient elastodynamic crack analysis in two-dimensional (2D), homogeneous, anisotropic, and linear elastic solids is presented in this paper. Stationary cracks in both infinite and finite anisotropic Solids Under impact loading are investigated. Oil the external boundary of the cracked solid the classical displacement boundary integral equations (BIEs) are used, while the hypersingular traction BIEs are applied to the crack-faces. The temporal discretization is performed by it collocation method, while a Galerkin method is implemented for the spatial discretization. Both temporal and spatial integrations are carried out analytically. Special analytical techniques are developed to directly compute strongly singular and hypersingular integrals. Only the line integrals over an unit circle arising in the elastodynamic fundamental solutions need to be computed numerically by standard Gaussian quadrature. An explicit time-stepping scheme is obtained to compute the unknown boundary data including the crack-opening-displacements (CODs). Special crack-tip elements are adopted to ensure a direct and ail accurate computation of the elastodynamic stress intensity factors from the CODs. Several numerical examples are given to show the accuracy and the efficiency of the present hypersingular time-domain BEM. Copyright (C) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码:127 / 150
页数:24
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