Coupling analysis of pattern formation in desiccation cracks

Sayako Hirobe, Kenji Oguni

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Desiccation cracks are widely observed as a result of the drying process of the mixture of powder and water. These cracks have a net-like structure and tessellate the dry-out surface area into polygonal cells with typical size. Regardless of the choice of the materials and the minor details in the drying process, while some varieties can be observed, the basic topology of the cells (i.e., net-like structure and the polygonal cells) is persistently conserved. This stable and common feature in the desiccation crack patterns strongly suggests the existence of the common governing mechanism behind. In this paper, the pattern formation of desiccation cracks is regarded as the result of the coupling among (i) the change in water volume fraction due to desiccation, (ii) the equilibrium of deformation field corresponding to the inhomogeneous volume shrinkage, and (iii) the crack formation. Based on this assumption, a coupling model of desiccation, deformation, and fracture is proposed for the numerical analysis of the desiccation crack patterns. We perform the coupled analysis by using finite element method for the desiccation (described by the diffusion equation) and particle discretization scheme finite element method (PDS-FEM) for the seamless analysis of deformation and fracture. The results of the numerical analysis show satisfactory agreement with the experimental observation in terms of the basic topology of the cells and the hierarchical sequence of the crack propagation. These results indicate that the proposed approach captures the fundamental governing mechanism of the pattern formation of the desiccation crack phenomenon.

Original languageEnglish
Pages (from-to)470-488
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume307
DOIs
Publication statusPublished - 2016 Aug 1

Fingerprint

drying
cracks
Cracks
Numerical analysis
Drying
Topology
Finite element method
cells
numerical analysis
finite element method
Crack initiation
topology
Water
Crack propagation
Volume fraction
crack initiation
Powders
crack propagation
shrinkage
water

Keywords

  • Coupled problem
  • Desiccation cracks
  • Pattern formation
  • PDS-FEM

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

Cite this

Coupling analysis of pattern formation in desiccation cracks. / Hirobe, Sayako; Oguni, Kenji.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 307, 01.08.2016, p. 470-488.

Research output: Contribution to journalArticle

@article{c6f3f33923904c58a9499e282e3d018c,
title = "Coupling analysis of pattern formation in desiccation cracks",
abstract = "Desiccation cracks are widely observed as a result of the drying process of the mixture of powder and water. These cracks have a net-like structure and tessellate the dry-out surface area into polygonal cells with typical size. Regardless of the choice of the materials and the minor details in the drying process, while some varieties can be observed, the basic topology of the cells (i.e., net-like structure and the polygonal cells) is persistently conserved. This stable and common feature in the desiccation crack patterns strongly suggests the existence of the common governing mechanism behind. In this paper, the pattern formation of desiccation cracks is regarded as the result of the coupling among (i) the change in water volume fraction due to desiccation, (ii) the equilibrium of deformation field corresponding to the inhomogeneous volume shrinkage, and (iii) the crack formation. Based on this assumption, a coupling model of desiccation, deformation, and fracture is proposed for the numerical analysis of the desiccation crack patterns. We perform the coupled analysis by using finite element method for the desiccation (described by the diffusion equation) and particle discretization scheme finite element method (PDS-FEM) for the seamless analysis of deformation and fracture. The results of the numerical analysis show satisfactory agreement with the experimental observation in terms of the basic topology of the cells and the hierarchical sequence of the crack propagation. These results indicate that the proposed approach captures the fundamental governing mechanism of the pattern formation of the desiccation crack phenomenon.",
keywords = "Coupled problem, Desiccation cracks, Pattern formation, PDS-FEM",
author = "Sayako Hirobe and Kenji Oguni",
year = "2016",
month = "8",
day = "1",
doi = "10.1016/j.cma.2016.04.029",
language = "English",
volume = "307",
pages = "470--488",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",

}

TY - JOUR

T1 - Coupling analysis of pattern formation in desiccation cracks

AU - Hirobe, Sayako

AU - Oguni, Kenji

PY - 2016/8/1

Y1 - 2016/8/1

N2 - Desiccation cracks are widely observed as a result of the drying process of the mixture of powder and water. These cracks have a net-like structure and tessellate the dry-out surface area into polygonal cells with typical size. Regardless of the choice of the materials and the minor details in the drying process, while some varieties can be observed, the basic topology of the cells (i.e., net-like structure and the polygonal cells) is persistently conserved. This stable and common feature in the desiccation crack patterns strongly suggests the existence of the common governing mechanism behind. In this paper, the pattern formation of desiccation cracks is regarded as the result of the coupling among (i) the change in water volume fraction due to desiccation, (ii) the equilibrium of deformation field corresponding to the inhomogeneous volume shrinkage, and (iii) the crack formation. Based on this assumption, a coupling model of desiccation, deformation, and fracture is proposed for the numerical analysis of the desiccation crack patterns. We perform the coupled analysis by using finite element method for the desiccation (described by the diffusion equation) and particle discretization scheme finite element method (PDS-FEM) for the seamless analysis of deformation and fracture. The results of the numerical analysis show satisfactory agreement with the experimental observation in terms of the basic topology of the cells and the hierarchical sequence of the crack propagation. These results indicate that the proposed approach captures the fundamental governing mechanism of the pattern formation of the desiccation crack phenomenon.

AB - Desiccation cracks are widely observed as a result of the drying process of the mixture of powder and water. These cracks have a net-like structure and tessellate the dry-out surface area into polygonal cells with typical size. Regardless of the choice of the materials and the minor details in the drying process, while some varieties can be observed, the basic topology of the cells (i.e., net-like structure and the polygonal cells) is persistently conserved. This stable and common feature in the desiccation crack patterns strongly suggests the existence of the common governing mechanism behind. In this paper, the pattern formation of desiccation cracks is regarded as the result of the coupling among (i) the change in water volume fraction due to desiccation, (ii) the equilibrium of deformation field corresponding to the inhomogeneous volume shrinkage, and (iii) the crack formation. Based on this assumption, a coupling model of desiccation, deformation, and fracture is proposed for the numerical analysis of the desiccation crack patterns. We perform the coupled analysis by using finite element method for the desiccation (described by the diffusion equation) and particle discretization scheme finite element method (PDS-FEM) for the seamless analysis of deformation and fracture. The results of the numerical analysis show satisfactory agreement with the experimental observation in terms of the basic topology of the cells and the hierarchical sequence of the crack propagation. These results indicate that the proposed approach captures the fundamental governing mechanism of the pattern formation of the desiccation crack phenomenon.

KW - Coupled problem

KW - Desiccation cracks

KW - Pattern formation

KW - PDS-FEM

UR - http://www.scopus.com/inward/record.url?scp=84970038539&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84970038539&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2016.04.029

DO - 10.1016/j.cma.2016.04.029

M3 - Article

VL - 307

SP - 470

EP - 488

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

ER -