Memory effect on the formation of drying cracks

Abstract

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 a 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.

9 pages, 9 figures

References in corpus (4)

• Fracture Patterns Induced by Desiccation in a Thin Layer
• Imprinting the memory into paste and its visualization as crack patterns in drying process
• History Memorized and Recalled upon Glass Transition
• Internal Stress in a Model Elasto-Plastic Fluid

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• Stochastic modeling on fragmentation process over lifetime and its dynamical scaling law of fragment distribution
• Flow velocity-dependent transition of anisotropic crack patterns in CaCO${}_3$ pastes
• X-ray computerized tomography observation of Lycopodium paste incorporating memory of shaking
• Memory effect of external oscillation on residual stress in a paste
• Memory of rotation in residual stress of paste