Dynamic fibre sliding along debonded, frictional interfaces. Yang, Q. D., Rosakis, A., & Cox, B. N. Proc. R. Soc. A, 462:1081--1106, Apr, 2006.
abstract   bibtex   
The problem is considered of a fibre that is driven dynamically, by compression at one end; into a matrix. The fibre is not initially bonded to the matrix, so that its motion is resisted solely by friction. Prior work based on simplified models has shown that the combination of inertial effects and friction acting over long domains of the fibre-matrix interface gives rise to behaviour that is far more complex than in the well-known static loading problem. The front velocity may depart significantly from the bar wave speed and regimes of slip, slip/stick and reverse slip can exist for different material choices and loading rates. Here more realistic numerical simulations and detailed observations of dynamic displacement fields in a model push-in experiment are used to seek more complete understanding of the problem. The prior results are at least partly confirmed, especially the ability of simple shear-lag theory to predict; front velocities and gross features of the deformation. Some other fundamental aspects are newly revealed, including oscillations in the interface stresses during loading; and suggestions of unstable, possibly chaotic interface conditions during unloading. Consideration of the experiments and two different orders of model suggest that the tentatively characterized chaotic phenomena may arise because of the essential nonlinearity of friction, that the shear traction changes discontinuously with the sense of the motion; rather than being associated with the details of the constitutive law that is assumed for the friction. This contrasts with recent understanding of instability and ill-posedness at interfaces loaded uniformly in time; where the nature of the assumed friction law dominates the outcome.
@article{yang2006,
	Abstract = {The problem is considered of a fibre that is driven
dynamically, by compression at
one end; into a matrix. The fibre is not initially bonded to the matrix,
so that its motion is
resisted solely by friction. Prior work based on simplified models has
shown that the combination of
inertial effects and friction acting over long domains of the
fibre-matrix interface gives rise to
behaviour that is far more complex than in the well-known static loading
problem. The front velocity
may depart significantly from the bar wave speed and regimes of slip,
slip/stick and reverse slip
can exist for different material choices and loading rates. Here more
realistic numerical
simulations and detailed observations of dynamic displacement fields in
a model push-in experiment
are used to seek more complete understanding of the problem. The prior
results are at least partly
confirmed, especially the ability of simple shear-lag theory to predict;
front velocities and gross
features of the deformation. Some other fundamental aspects are newly
revealed, including
oscillations in the interface stresses during loading; and suggestions
of unstable, possibly chaotic
interface conditions during unloading. Consideration of the experiments
and two different orders of
model suggest that the tentatively characterized chaotic phenomena may
arise because of the
essential nonlinearity of friction, that the shear traction changes
discontinuously with the sense
of the motion; rather than being associated with the details of the
constitutive law that is assumed
for the friction. This contrasts with recent understanding of
instability and ill-posedness at
interfaces loaded uniformly in time; where the nature of the assumed
friction law dominates the
outcome.},
	Author = {Yang, Q. D. and Rosakis, A. and Cox, B. N.},
	Date-Modified = {2010-07-14 12:30:49 -0700},
	Issue = {2068},
	Journal = {Proc. R. Soc. A},
	Month = {Apr},
	Pages = {1081--1106},
	Title = {Dynamic fibre sliding along debonded, frictional interfaces},
	Volume = {462},
	Year = {2006},
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