论文标题
干燥裂纹模式的动态和统计特征的过渡特性
Transition properties in dynamical and statistical features of drying crack patterns
论文作者
论文摘要
在这项研究中，我们通过实验研究了二维干燥裂纹模式的统计特性的时间依赖性，以确定片段尺寸分布的功能形式。使用碳酸镁氢氧化镁糊的实验显示了片段大小分布的时间序列中的“动力学缩放”特性，这是通过理论和数值研究预测的。基于贝叶斯推断的进一步分析结果表明，片段大小分布的功能形式从对数正态分布到广义伽马分布的过渡。片段化过程的统计模型和粘弹性材料干燥薄层的应力浓度的组合解释了过渡的起源。
In this study, we experimentally investigated the time dependence of the statistical properties of two-dimensional drying crack patterns to determine the functional form of fragment size distribution. Experiments using a thin layer of a magnesium carbonate hydroxide paste revealed a "dynamical scaling" property in the time series of the fragment size distribution, which has been predicted by theoretical and numerical studies. Further analysis results based on Bayesian inference show the transition of the functional form of the fragment size distribution from a log-normal distribution to a generalized gamma distribution. The combination of a statistical model of the fragmentation process and the dynamics of stress concentration of a drying thin layer of viscoelastic material explains the origin of the transition.
