A 2D hypersingular time-domain traction BEM for transient elastodynamic crack analysis

Authors
Citation
C. Zhang, A 2D hypersingular time-domain traction BEM for transient elastodynamic crack analysis, WAVE MOTION, 35(1), 2002, pp. 17-40
Citations number
37
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics,"Optics & Acoustics
Journal title
WAVE MOTION
ISSN journal
0165-2125 → ACNP
Volume
35
Issue
1
Year of publication
2002
Pages
17 - 40
Database
ISI
SICI code
0165-2125(200201)35:1<17:A2HTTB>2.0.ZU;2-H
Abstract
A two-dimensional (2D) hypersingular time-domain traction BEM for transient elastodynamic crack analysis is presented in this paper. Time-domain tract ion boundary integral equations (BIEs) are applied for this purpose, to bot h crack-face's and external boundaries of the cracked solid. A numerical so lution procedure is developed for solving the hypersingular time-domain tra ction BlEs. A time-stepping scheme in conjunction with a collocation method is applied. The time-stepping scheme uses a linear temporal shape-function which makes an analytical time-integration of the convolution integrals po ssible. As spatial shape-functions, two different shape-functions are adopt ed: a square-root crack-tip shape-function for elements adjacent to crack-t ips and a constant shape-function for elements away from crack-tips. In thi s manner, the local behavior of the crack-opening-displacements (CODs) at c rack-tips is correctly approximated by the square-root crack-tip shape-func tion. This allows us to accurately compute the dynamic stress intensity fac tors from the CODs. Suitable methods for evaluating the hypersingular and t he strongly singular integrals are presented. Numerical examples for unboun ded and bounded solids with cracks are given to show the efficiency and the accuracy of the time-domain BEM for transient elastodynamic crack analysis . (C) 2002 Elsevier Science B.V. All rights reserved.