Interfacial dating

04 Dec

In an attempt to study the in-situ properties of this process, Schmittbuhl and Måløy [8-10] developed an experiment where they forced the fracture to advance along a weak heterogeneous plane embedded in a transparent medium (Plexiglas).

In such an experimental configuration, the propagation of the fracture front can be monitored in great detail using high resolution optical devices from which different properties characterizing the fracture dynamics can be inferred.

Such a cross-over was observed experimentally in 2010 by Santucci et al. They found that the in-plane fractures also had a scale-dependent roughness exponent. Attempts to model the behavior of the in-plane fracture process had a long time resulted in only the large scale roughness exponent [16, 17], or the small scale roughness exponent in the context of a stress-weighted percolation [18].

When the system is loaded from one side, a propagating crack—a fracture front—evolves that moves away from the loaded side. The dimensions are typically 20 cm long, 3 cm wide and 5 mm thick for the bottom plexiglas plate and 1 cm thick for the upper plate.

The upper plate is attached to a stiff aluminum frame while a load is applied over the top side of the bottom plate in a direction normal to the plate interface.

In the following, we first review in Section 2 the main aspects of the experimental setup.

In Section 3, we give details on the numerical model based on the soft clamp fiber bundle approach but modified to include both long range elastic interactions owing to the elactically deformable clamped block and a non-linear imposed displacement around the process zone.