Compaction of bi-dispersed granular packing: analogy with chemical thermodynamics
Compaction of bi-dispersed granular packing: analogy with chemical thermodynamics
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双分散颗粒填料的压实：与化学热力学的类比
DOI：
10.1007/s10035-022-01219-5
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发表时间：
2022
期刊：
影响因子：
2.4
通讯作者：
Deng, Yibing
中科院分区：
文献类型：
--
作者：
Chang, Ching S.;Deng, Yibing
双分散填料颗粒堆积模型的研究在颗粒材料领域具有重要的理论意义和实用价值。已经开发了几种颗粒堆积模型用于预测双分散填料的堆积密度（或比容）。大多数目前可用的模型是唯象的，它预测的特定体积的双分散填料作为分数的物种的函数，并已应用到各个领域，如在混凝土，制药，土壤工程等。在这项研究中，我们分析了颗粒混合物的堆积密度使用类比化学溶液的热力学理论。化学溶液的热力学理论提供了溶液体积密度、物种间的化学相互作用活动以及溶液中每种物种的浓度之间的联系。平行于溶液中每个物种的化学势，我们引入了一个“过剩自由体积势”为每个颗粒物种。利用双分散颗粒体系中两组分的相互作用，从一个新的角度解释了颗粒体系的体积压缩行为。随后，使用热力学第二定律，提出了一种分析方法来量化的过剩自由体积的潜力，并预测颗粒混合物的密度。所开发的分析方法，然后验证了玻璃珠和硅砂的双分散填料混合物的实验结果。分析方法的性能和它的有效性被证明。
The study of particle-packing models for bi-dispersed packings is important in the field of granular materials, from both theoretical and practical perspectives. Several particle-packing models have been developed for predicting the packing density (or specific volume) of a bi-dispersed packing. Most of the currently available models are phenomenological, which predict the specific volumes of a bi-dispersed packing as a function of fraction of species, and have applied to various fields, such as in concrete, pharmaceutical, soil engineering, etc. In this study, we analyze the packing densities of granular mixtures using an analogy to the thermodynamic theory for chemical solutions. The thermodynamic theory for chemical solutions provides the connections among the bulk solution density, the chemical interaction activities between species, and the concentration of each species in the solution. Parallel to the chemical potential of each species in the solution, we introduce an “excess free volume potential” for each granular species. With the interaction activities of two species in a bi-dispersed granular system, we explain the volume compaction behavior of a granular system from a new context. Subsequently, using the second law of thermodynamics, an analytical method is proposed to quantify the excess free volume potentials and to predict the density of a granular mixture. The developed analytical method is then validated by the experimental results of bi-dispersed packing mixtures of glass beads and silica sands. The performance of the analytical method and its validity are demonstrated.
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