PMID: 15244909Jul 13, 2004Paper

Maturation of crack patterns

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E A Jagla

Abstract

Superficial (two-dimensional) crack patterns appear when a thin layer of material elastically attached to a substrate contracts. We study numerically the maturation process undergone by these crack patterns when they are allowed to adapt in order to reduce its energy. The process models the evolution in depth of cracks in geological formations and in starch samples ("columnar jointing"), and also the time evolution (over thousands of years) of crack patterns in frozen soils. We observe an evolution towards a polygonal pattern that consists of a fixed distribution of polygons with mainly five, six, and seven sides. They compare very well with known experimental examples. The evolution of one of these "mature" patterns upon reduction of the degree of contraction is also considered. We find that the pattern adapts by closing some of the cracks and rearranging those in the immediate neighborhood. This produces a change of the mean size of the polygons, but remarkably no changes of the statistical properties of the pattern. Comparison with the same behavior recently observed in starch samples is presented.

References

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Citations

Dec 1, 2012·Science·Michel C MilinkovitchMatthias Zwicker
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V I Marconi, E A Jagla
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K B Toga, B Erdem Alaca
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lucas GoehringZhenquan Lin
Nov 10, 2015·Physical Review Letters·Martin HofmannJens Nellesen
May 20, 2020·Physical Review. E·E A Jagla
Sep 28, 2010·Physical Review Letters·Melissa L FenderKaren E Daniels
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H-A BahrH Balke
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lucas Goehring
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E A Jagla
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J K MasonD J Srolovitz
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tajkera KhatunSujata Tarafdar
Oct 2, 2021·Proceedings of the National Academy of Sciences of the United States of America·Anyuan LiQuan-Xing Liu

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