Pattern selection of cracks in directionally drying fracture

Details Pattern selection of cracks in directionally drying fracture Pattern selection of cracks in directionally drying fracture

1995-10-11

arxiv.org/abs/patt-sol/9510002v1

Nonlinear Sciences

Pattern Formation and Solitons

12 pages, REVTeX with 3 figures (uuencoded tar-compressed postscript)

Scientific paper

We study pattern selection of cracks in directionally drying fractures by analyzing the experimental systems recently devised by C. Allain and L. Limat. [Phys. Rev. Lett. {\bf 74}, 2981 (1995).] Proposing a simple picture of crack formation, we clarify the mechanism of how cracks array regularly and find that the interval between neighboring cracks is proportional to the $2/3$ power of the cell thickness. This result explains well the experimental data of Allain and Limat.

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