Stability of intersonic shear crack propagation. Obrezanova, O. and Willis, J. R. J. Mech. Phys. Solids, 51:1957--1970, Nov, 2003.
abstract   bibtex   
We consider the stability of a crack, propagating under shear loading at a speed in the intersonic range. The basic solution is that of steady-state propagation, under conditions of plane strain; the perturbation that is envisaged is a small, time-dependent deviation from uniform of the speed of the edge of the crack, which remains straight and continues to propagate in its plane. The main components of this work are (a) the basic solution for the stresses in the vicinity of the perturbed crack edge and (b) the application of a fracture criterion, based on the admission of a cohesive zone ahead of the crack. The latter is reduced to a local form-analogous to that for LEFM-by virtue of an assumption of ``small scale cohesion''. The stability analysis then requires only knowledge of the coefficient of the singularity in the stress at the crack tip, even though this is not the ``square-root'' type realized during subsonic propagation. (C) 2003 Elsevier Ltd. All rights reserved.
@article{obrezanova2003,
	Abstract = {We consider the stability of a crack, propagating under
shear loading at a speed in
the intersonic range. The basic solution is that of steady-state
propagation, under conditions of
plane strain; the perturbation that is envisaged is a small,
time-dependent deviation from uniform
of the speed of the edge of the crack, which remains straight and
continues to propagate in its
plane. The main components of this work are (a) the basic solution for
the stresses in the vicinity
of the perturbed crack edge and (b) the application of a fracture
criterion, based on the admission
of a cohesive zone ahead of the crack. The latter is reduced to a local
form-analogous to that for
LEFM-by virtue of an assumption of ``small scale cohesion''. The
stability analysis then requires only
knowledge of the coefficient of the singularity in the stress at the
crack tip, even though this is
not the ``square-root'' type realized during subsonic propagation. (C)
2003 Elsevier Ltd. All rights
reserved.},
	Author = {Obrezanova, O. and Willis, J. R.},
	Issue = {11-12},
	Journal = {J. Mech. Phys. Solids},
	Month = {Nov},
	Pages = {1957--1970},
	Title = {Stability of intersonic shear crack propagation},
	Volume = {51},
	Year = {2003},
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