Conformal Dynamics of Precursors to Fracture

Details Conformal Dynamics of Precursors to Fracture Conformal Dynamics of Precursors to Fracture

2002-12-04

arxiv.org/abs/cond-mat/0212100v2

Physics

Condensed Matter

Materials Science

4 pages, 3 figures

Scientific paper

10.1209/epl/i2003-00591-8

An exact integro-differential equation for the conformal map from the unit circle to the boundary of an evolving cavity in a stressed 2-dimensional solid is derived. This equation provides an accurate description of the dynamics of precursors to fracture when surface diffusion is important. The solution predicts the creation of sharp grooves that eventually lead to material failure via rapid fracture. Solutions of the new equation are demonstrated for the dynamics of an elliptical cavity and the stability of a circular cavity under biaxial stress, including the effects of surface stress.

Affiliated with

Also associated with

No associations

Rating

Conformal Dynamics of Precursors to Fracture 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 Conformal Dynamics of Precursors to Fracture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Dynamics of Precursors to Fracture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264685