Catastrophic failure: how and when? Insights from 4D in-situ x-ray
micro-tomography
Abstract
Catastrophic failure of brittle rocks is important in managing risk
associated with system-sized material failure. Such failure is caused by
nucleation, growth and coalescence of micro-cracks that spontaneously
self-organize along localized damage zones under compressive stress.
Here we present x-ray micro-tomography observations that elucidate the
in-situ micron-scale processes, obtained from novel tri-axial
compression experiments conducted in a synchrotron. We examine the
effect of microstructural heterogeneity in the starting material (Ailsa
Craig micro-granite; known for being virtually crack-free) on crack
network evolution and localization. To control for heterogeneity, we
introduced a random nano-scale crack network into one sample by thermal
stressing, leaving a second sample as-received. By assessing the
time-dependent statistics of crack size and spatial distribution, we
test the hypothesis that the degree of starting heterogeneity influences
the order and predictability of the phase transition between intact and
failed states. We show that this is indeed the case at the system scale.
The initially more heterogeneous (heat-treated) sample showed clear
evidence for a second-order transition: inverse power-law acceleration
in correlation length with a well-defined singularity near failure, and
distinct changes in the scaling exponents. The more homogeneous
(untreated) sample showed evidence for a first-order transition:
exponential increase in correlation length associated with distributed
damage and unstable crack nucleation ahead of abrupt failure. In both
cases, anisotropy in the initial porosity dictated the fault
orientation, and system-sized failure occurred when the correlation
length approached the grain size. These results have significant
implications for the predictability of catastrophic failure in different
materials.