dorsal/arxiv
View SchemaFracture Patterns Induced by Desiccation in a Thin Layer
| Authors | S. Kitsunezaki |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9905007 |
| URL | https://arxiv.org/abs/patt-sol/9905007 |
| DOI | 10.1103/PhysRevE.60.6449 |
Abstract
We study a theoretical model of mud cracks, that is, the fracture patterns resulting from the contraction with drying in a thin layer of a mixture of granules and water. In this model, we consider the slip on the bottom of this layer and the relaxation of the elastic field that represents deformation of the layer. Analysis of the one-dimensional model gives results for the crack size that are consistent with experiments. We propose an analytical method of estimation for the growth velocity of a simple straight crack to explain the very slow propagation observed in actual experiments. Numerical simulations reveal the dependence of qualitative nature of the formation of crack patterns on material properties.
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"date_created": "2026-03-02T18:00:28.672000Z",
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"abstract": "We study a theoretical model of mud cracks, that is, the fracture patterns\nresulting from the contraction with drying in a thin layer of a mixture of\ngranules and water. In this model, we consider the slip on the bottom of this\nlayer and the relaxation of the elastic field that represents deformation of\nthe layer. Analysis of the one-dimensional model gives results for the crack\nsize that are consistent with experiments. We propose an analytical method of\nestimation for the growth velocity of a simple straight crack to explain the\nvery slow propagation observed in actual experiments. Numerical simulations\nreveal the dependence of qualitative nature of the formation of crack patterns\non material properties.",
"arxiv_id": "patt-sol/9905007",
"authors": [
"S. Kitsunezaki"
],
"categories": [
"patt-sol",
"cond-mat.stat-mech",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.60.6449",
"title": "Fracture Patterns Induced by Desiccation in a Thin Layer",
"url": "https://arxiv.org/abs/patt-sol/9905007"
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