Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Time-harmonic analysis of a planar crack in an elastic half-space by BEM

Ch. Zhanga,*, V.V. Mykhas'kivb, V.Z. Stankevychc
aDepartment of Civil Engineering, University of Siegen, D-57068 Siegen, Germany bPidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lviv 79060, Ukraine cLviv Faculty of Dnipropetrovsk National University of Railway Transport, Lviv 79052, Ukraine
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ABSTRACT
The symmetric crack problem in an elastic half-space subjected to a time-harmonic crack-surface loading is investigated. For this purpose, a boundary element method (BEM) is developed, which contains only a boundary integral over the crack surface. The traction-free conditions on the half-space boundary are satisfied identically in the method. Numerical results for the mode-I dynamic stress intensity factor of a penny-shaped crack are presented to analyze the effects of the frequency, the crack location, and the reflected waves by the half-space boundary.

Keywords:  Time-harmonic crack analysis; Elastic half-space; Penny-shaped crack; Dynamic stress intensity factor; Boundary element method
* Corresponding author. Tel.: +49 271 7402173; Fax: +49 271 7402552; E-mail: c.zhang@uni-siegen.de