Time-domain BEM for dynamic crack analysis1Many thanks to Dr. Fedelinski of Silesian Technical University of Gliwice, Poland, for providing us their numerical results published in [4] for comparison purpose.1

Ch. Zhang and A. Savaidis

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 1, 351-362

Abstract: Time-domain boundary element method (BEM) for elastodynamic crack analysis is presented in this paper. Special attention is devoted to BEM based on traction boundary integral equations (BIEs) in time-domain. Both the hypersingular and the non-hypersingular traction BIEs are dealt with. A time-stepping scheme in conjunction with a collocation method is applied for solving the time-domain BIEs numerically. This scheme uses a linear shape-function in time which allows an analytic time-integration of the system matrix. Two different spatial shape-functions are used in the numerical solution procedure, namely, “crack-tip elements” behind crack-tips while constant elements away from crack-tips. The use of “crack-tip elements” takes the proper local behavior of the crack opening displacements (COD) at crack-tips into account, and it makes an accurate calculation of the dynamic stress intensity factors feasible. The hypersingular integrals arising in the hypersingular time-domain traction BEM can be easily evaluated numerically and analytically by a direct method. Numerical examples for the dynamic stress intensity factors are given to show that the time-domain traction BEM is very accurate and efficient for elastodynamic crack analysis.

Keywords: Boundary integral equations; Boundary element method; Dynamic crack analysis; Fracture mechanics (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475499000774
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:50:y:1999:i:1:p:351-362

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().