P. Davy et al., LOCALIZATION AND FAULT GROWTH IN LAYERED BRITTLE-DUCTILE SYSTEMS - IMPLICATIONS FOR DEFORMATIONS OF THE CONTINENTAL LITHOSPHERE, J GEO R-SOL, 100(B4), 1995, pp. 6281-6294
We present experiments and numerical simulations dealing with the grow
th of faults in thin brittle/ductile systems to understand deformation
modes in the continental lithosphere. Experiments were uniaxial short
ening of layers of dry sand and silicone putties of various viscous re
sistances, For large strength ratios between the brittle and ductile l
ayers (R>5-10), the deformation localizes into two shear bands; the fa
ult pattern is created before reaching 10% shortening, and has fractal
dimensions varying between 1.6 and 1.8. For small strength ratios (R<
5-10), deformation never localizes; the fault pattern is homogeneous w
ith a trivial dimension of 2, and grows continuously during deformatio
n. The transition between localized and homogeneous deformation occurs
when the mechanical resistance of brittle layers is 5-10 times larger
than the resistance of ductile layers. This transition was also inves
tigated by means of electrical analog simulations. A fuse network, whi
ch represents an elasto-brittle layer, is coupled with a capacitor lay
er which models strain-rate dependent fluids, An AC potential is appli
ed and the fuses progressively burned out until they form a connected
network. The AC-potential frequency, f, is a tuning parameter similar
to the applied strain rate in experiments. A critical frequency is obt
ained marking a transition between a localization mode where the densi
ty of burned fuses decreases as the system size increases, and a deloc
alization mode where the density of burned fuses remains constant with
increasing system size. The scaling dependency of the fracture proces
s, as well as the critical frequency, are consistent with experimental
results. Available information on the theology of the continental lit
hosphere shows that this mechanical transition is bracketed by the pos
sible range of brittle-to-ductile strength ratios.