2004/11/30 by Michio Otsuki · 29 citations
Chemical Engineering · Engineering · Physics and Astronomy · #Composite material #Constitutive equation #Deformation (meteorology) #Fluid Dynamics and Heat Transfer #Fracture (geology) #Granular flow and fluidized beds #Materials science #Mechanics #Physics #Position (finance) #Rheology and Fluid Dynamics Studies #Thermodynamics #Viscoplasticity #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.72.046115
published in Physical Review E 72(4), 046115 (American Physical Society) · 9 pages, 9 figures
openalex publication_date 2005/10/14 · arxiv created 2005/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a model for the formation of drying cracks in a viscoplastic material. In this model, we observe that when an external force is applied to a viscoplastic material before drying, the material memorizes the effect of the force as a plastic deformation. The formation of the drying cracks is influenced by this plastic deformation. This outcome clarifies the result of recent experiments which demonstrated that a drying fracture pattern on a powder-water mixture depends on the manner in which an external force is applied before drying. We analytically express the position of the first crack as a function of the strength of an external force applied before drying. From the expression, we predict that there exists a threshold on the strength of the force. When the force applied is smaller than the threshold, the first crack is formed at the center of the mixture; however, when the force applied exceeds the threshold, the position of the first crack deviates from the center. The extent of the deviation increases as a linear function of the difference between the strength of the force and the threshold.