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

  Full Text
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

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