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Cracking condition of cohesionless porous materials in drying processes

So Kitsunezaki (狐崎創)*

  • Research Group of Physics, Division of Natural Sciences, Faculty of Nara Women's University, Nara 630-8506, Japan

  • *kitsune@ki-rin.phys.nara-wu.ac.jp; http://www.complex.phys.nara-wu.ac.jp/~kitsune/main_e.html
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Phys. Rev. E 87, 052805 – Published 17 May, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.052805

Abstract

The invasion of air into porous systems in drying processes is often localized in soft materials, such as colloidal suspensions and granular pastes, and it typically develops in the form of cracks before ordinary drying begins. To investigate such processes, we construct an invasion percolation model on a deformable lattice for cohesionless elastic systems, and with this model we derive the condition under which cracking occurs. A Griffith-like condition characterized by a dimensionless parameter is proposed, and its validity is checked numerically. This condition indicates that the ease with which cracking occurs increases as the particles composing the material become smaller, as the rigidity of the system increases and as the degree of heterogeneity characterizing the drying processes decreases.

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Phys. Rev. E 87, 052805– Published 17 May, 2013
  • Received 14 January 2013

©2013 American Physical Society

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