Abstract
This paper deals with the implementation of a 3D time-domain boundary integral formulation for a moving center-crack in a finite solid under suddenly applied crack face pressure. The BEM displacement time-domain formulations have, hitherto, been limited to analyzing two-dimensional crack problems, though hypersingular formulations have been used to analyze finite cracks in infinite domains. In this paper, variation of dynamic stress intensity factor (DSIF) along the crack front for a moving, through-thickness straight crack is studied for a finite solid under step loading. The state of stress is evaluated at the crack vertex, where crack front meets the free surface. The effect of free surface on DSIF is investigated. It is possible to estimate accurately the critical intersection angle of the crack front with the free surface at which square-root singularity is restored at the crack vertex under step loading for various speeds of crack propagation. It is also predicted in this work that for high speeds of crack propagation, crack front maintains its straight profile.
Published Version
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