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@ARTICLE{Fleck:19499,
author = {Fleck, M. and Pilipenko, D. and Spatschek, R. and Brener,
E. A.},
title = {{B}rittle fracture in viscoelastic materials as a
pattern-formation process},
journal = {Physical review / E},
volume = {83},
number = {4},
issn = {1539-3755},
address = {College Park, Md.},
publisher = {APS},
reportid = {PreJuSER-19499},
pages = {046213},
year = {2011},
note = {M. F. and D. P. are thankful for support by DFG Grant No.
SPP 1418 and R. S. for support by DFG Grant No. SPP 1296. E.
B. gratefully acknowledges support by the Erna and Jacob
Michael visiting professorship funds at the Weizmann
Institute of Science, Rehovot.},
abstract = {A continuum model of crack propagation in brittle
viscoelastic materials is presented and discussed. Thereby,
the phenomenon of fracture is understood as an elastically
induced nonequilibrium interfacial pattern formation
process. In this spirit, a full description of a propagating
crack provides the determination of the entire time
dependent shape of the crack surface, which is assumed to be
extended over a finite and self-consistently selected length
scale. The mechanism of crack propagation, that is, the
motion of the crack surface, is then determined through
linear nonequilibrium transport equations. Here we consider
two different mechanisms, a first-order phase transformation
and surface diffusion. We give scaling arguments showing
that steady-state solutions with a self-consistently
selected propagation velocity and crack shape can exist
provided that elastodynamic or viscoelastic effects are
taken into account, whereas static elasticity alone is not
sufficient. In this respect, inertial effects as well as
viscous damping are identified to be sufficient crack tip
selection mechanisms. Exploring the arising description of
brittle fracture numerically, we study steady-state crack
propagation in the viscoelastic and inertia limit as well as
in an intermediate regime, where both effects are important.
The arising free boundary problems are solved by phase field
methods and a sharp interface approach using a multipole
expansion technique. Different types of loading, mode I,
mode III fracture, as well as mixtures of them, are
discussed.},
keywords = {J (WoSType)},
cin = {PGI-2},
ddc = {530},
cid = {I:(DE-Juel1)PGI-2-20110106},
pnm = {Grundlagen für zukünftige Informationstechnologien},
pid = {G:(DE-Juel1)FUEK412},
shelfmark = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000290116400001},
doi = {10.1103/PhysRevE.83.046213},
url = {https://juser.fz-juelich.de/record/19499},
}