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Failure of Anisotropic Sea Ice
Erland M. Schulson
Ice Research Laboratory
Thayer School of Engineering
Dartmouth College
Hanover,NH
ONR Workshop on "PIPS 3.0"
Monterey,CA
7-9 July 1998
Satellite images of the ice cover on the Arctic Ocean often show
patterns of intersecting leads of 20-40o acute angle 2a (Marko & Thomson
1977, JGR 82,979; Erlingsson 1991, Annals Glac. 15,73) . Similar patterns of
2a=38-45o are seen in the laboratory in specimens of columnar-grained sea ice
deformed within the brittle regime under across-column biaxial compression
(Iliescu and Schulson 1998, unpublished). The "minileads" are symmetrically
oriented w.r.t. the direction of the more compressive stress. Satellite images
occassionally show wing-like leads (e.g., Schulson and Hibler 1991,
J.Glac.,37,319; SHEBA 1997/8). Wing cracks are also seen in the laboratory
(Cannon et al. 1990, Acta.metall. mater.,38,1955; Schulson 1990, ibid. 1963;
Schulson 1997, J.Phys. Chem.B 101, 6254). These observations suggest that
similar failure mechanisms operate in the field and the lab, even though the
two scales differ by about six orders of magnitude. If so, then the formation of
leads may be viewed essentially as a process of brittle compressive failure,
preceeded perhaps by plastic flow. Non-plastic deformation should then be
included in "PIPS 3.0".
Observations in the lab show that compressive "minileads" are shear
faults that develop rapidly near the peak on the compressive stress-strain
curve. The faults are localized bands of damage which consist of wing cracks
and splay cracks (Schulson et al. 1998, submitted to JGR). The splay cracks
(previously termed "feather cracks" by Smith and Schulson 1993, Acta metall.
mater. 41,153) are secondary tensile cracks (wings are primary cracks) that
originate from one side of sliding inclined cracks. Splay cracks are important
because they create closely spaced sets of slender fixed-free microcolumns
which bend under compression. It is suggested that the shear fault is triggered
when the near-surface microcolumns break under frictional sliding of their
free ends, like the breaking of teeth in a comb under a sliding thumb.
Modeling of the terminal failure stress based upon this mechanism is in
reasonable agreement with observation, and suggests that to a first
approximation the terminal strength scales directly with fracture toughness
Kc and inversely with the product
(1-m)(sh)0.5 where m is the ice/ice coefficient of sliding friction, s is the
microcolumn slenderness ratio and h is the column length. Confinement
raises the failure stress.
Assuming that a similar process operates in the field, it is suggested
that: (i) intersecting leads form under low-confinement biaxial compression
within the regime of brittle (vs ductile) behavior; (ii) leads are oriented
symmetrically w.r.t. the maximum principal stress and define conjugate
planes; (iii) leads are localized bands of damage and form when a
deformation-induced instability develops within the material of the ice sheet;
(iv) the instability is triggered by the breaking of fixed-free columns under
frictional shear end loading; (v) the terminal failure stress of an ice sheet (i.e.,
the stress acting when the lead propagates all the way through the sheet)
should be several orders of magnitude lower than in the lab owing to the
liklihood that the size of the field cracks that constitute pre-fault damage scale
with the size of the ice sheet; and (vi) a frictional sliding or Coulombic failure
criterion is probably more appropriate than one based upon plastic flow to
describe lead formation.
With the objective of improving the physical content of "PIPS 3.0", it is
propsed to study the formation and properties of meter-sized "minileads",
using IRL's new in-pond loading frame situated at CRREL. Questions to be
addressed include:
- Does the failure mode change from splitting to shear faulting (i.e. leading)
to spalling as the ratio of minor to major stress increases? Changes of this
kind have been observed in the laboratory (Schulson and Nickolayev
1995,JGR 100, 22383) and are predicted from recent numerical modeling of
lead formation (Hibler and Schulson 1998, submitted to JGR)
- Within the low-confinement regime, does the inclination of the
minileads w.r.t. the direction of higher compressive stress increase as the
ratio of the minor/major stress increases, in accord with the Hibler-Schulson
(1998) modeling?
- To what degree, if any, does additional anisotropy introduced by
crystallographic c-axis alignment affect lead orientation?
- What is the failure stress of floating blocks of ice containing refrozen
minileads and how does the strength vary with lead length,width and
orientation and with the thickness of the new ice within the lead? In other
words, to what extent do refrozen leads change inelastic behavior from
isotropic (in the loading plane ) to anisotropic?
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