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The desiccation cracks can be observed on dry-out soil fields or other various materials under desiccation.These cracks have a net-like structure and tessellate the surface of the materials into polygonal cells. The averaged cell sizes change systematically depending on the size of the specimen. In spite of the varieties of the materials, these fundamental features of the cell topology are conserved. This implies the existence of the governing mechanism behind the desiccation crack phenomenon regardless of the material. In this paper, the desiccation crack phenomenon is modeled by the coupling of the desiccation, deformation, and fracture. We perform the simulations for the reproduction of the desiccation cracking based on this coupling model. In the simulation,  the finite element analysis for the desiccation problem and the analysis of particle discretization scheme finite element method for the deformation and fracture problems are weakly coupled. The results of the simulation show the satisfactory agreements with the experimental observation in terms of the geometry of the crack pattern, the increase tendency of the averaged cell size depending on the size of the specimen, and the hierarchical sequence of the cell formation. These agreement indicate that the proposed model and method capture the fundamental features and mechanism of the desiccation cracking.

desiccation cracks, pattern formation, coupled problem, PDS-FEM