Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps

Details Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps

2001-10-04

arxiv.org/abs/cond-mat/0110089v1

Physics

Condensed Matter

Statistical Mechanics

submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevE.65.045101

We study the geometrical characteristic of quasi-static fractures in disordered media, using iterated conformal maps to determine the evolution of the fracture pattern. This method allows an efficient and accurate solution of the Lam\'e equations without resorting to lattice models. Typical fracture patterns exhibit increased ramification due to the increase of the stress at the tips. We find the roughness exponent of the experimentally relevant backbone of the fracture pattern; it crosses over from about 0.5 for small scales to about 0.75 for large scales, in excellent agreement with experiments. We propose that this cross-over reflects the increased ramification of the fracture pattern.

Affiliated with

Also associated with

No associations

Rating

Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-416915