Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone

Details Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone

2002-07-22

arxiv.org/abs/cond-mat/0207517v1

Physics

Condensed Matter

4 pages RevTeX4

Scientific paper

10.1103/PhysRevLett.90.045505

We show that the roughness exponent zeta of an in-plane crack front slowly propagating along a heterogeneous interface embeded in a elastic body, is in full agreement with a correlated percolation problem in a linear gradient. We obtain zeta=nu/(1+nu) where nu is the correlation length critical exponent. We develop an elastic brittle model based on both the 3D Green function in an elastic half-space and a discrete interface of brittle fibers and find numerically that nu=1.5, We conjecture it to be 3/2. This yields zeta=3/5. We also obtain by direct numerical simulations zeta=0.6 in excellent agreement with our prediction. This modelling is for the first time in close agreement with experimental observations.

Affiliated with

Also associated with

No associations

Rating

Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone 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 Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Roughness of Interfacial Crack Front: Correlated Percolation in the Damage Zone will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-672949