Stress field around arbitrarily shaped cracks in two-dimensional elastic materials

Details Stress field around arbitrarily shaped cracks in two-dimensional elastic materials Stress field around arbitrarily shaped cracks in two-dimensional elastic materials

2003-09-23

arxiv.org/abs/cond-mat/0309523v1

Phys. Rev. E 69, 026127 (2004)

Physics

Condensed Matter

Materials Science

7 pages, 4 figures, submitted for PRE

Scientific paper

10.1103/PhysRevE.69.026127

The calculation of the stress field around an arbitrarily shaped crack in an infinite two-dimensional elastic medium is a mathematically daunting problem. With the exception of few exactly soluble crack shapes the available results are based on either perturbative approaches or on combinations of analytic and numerical techniques. We present here a general solution of this problem for any arbitrary crack. Along the way we develop a method to compute the conformal map from the exterior of a circle to the exterior of a line of arbitrary shape, offering it as a superior alternative to the classical Schwartz-Cristoffel transformation. Our calculation results in an accurate estimate of the full stress field and in particular of the stress intensity factors K_I and K_{II} and the T-stress which are essential in the theory of fracture.

Affiliated with

Also associated with

No associations

Rating

Stress field around arbitrarily shaped cracks in two-dimensional elastic materials 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 Stress field around arbitrarily shaped cracks in two-dimensional elastic materials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stress field around arbitrarily shaped cracks in two-dimensional elastic materials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182615