模型粘性粉末的计算机模拟:各向同性载荷下的塑性固结、结构变化和弹性
Computer simulation of model cohesive powders: Plastic consolidation, structural changes and elasticity under isotropic loads
摘要:
用离散元模拟方法研究了一个简单的二维粘性粉末模型在各向同性载荷作用下的准静态行为。如前所述,在围压P增大的情况下,松散堆积状态发生了重要的结构变化,而固相分数Φ不可逆地大量增加。系统状态经历了三个阶段,塑性固结曲线Φ(P*)的不同形式,在增长的减压下,P* = Pa/F0,由粘附力F0和颗粒直径a定义。在低约束区(I),塑性压缩可以忽略不计,并且结构受组装过程的影响。下一阶段(制度II)是独立的初始条件。孔隙比随log P线性变化,如工程文献中所述。在压实(III)的最后阶段,接近最大固体分数,和无粘性颗粒包的属性检索。在固结条件下,密度相关性的分形范围减小,力模式重组,弹性模量增加了一个大的因素。塑性形变事件对应于网络拓扑中非常小的变化,而密度较高的区域倾向于像刚体一样移动。在松散系统中,弹性性质主要由薄结的弯曲决定。对于生长的RR,这些倾向于减少到颗粒链,其中的折叠,而不是拉伸断裂,控制塑性压实。
英文摘要:
The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under growing confining pressure P, while solid fraction Φirreversibly increases by large amounts. The system state goes through three stages, with different forms of the plastic consolidation curve Φ(P*), under growing reduced pressure P* = Pa/F0, defined with adhesion force F0 and grain diameter a. In the low-confinement regime (I), plastic compaction is negligible, and the structure is influenced by the assembling process. The following stage (regime II) is independent of initial conditions. The void ratio varies linearly with log P, as described in the engineering literature. In the last stage of compaction (III), a maximum solid fraction is approached, and properties of cohesionless granular packs are retrieved. Under consolidation, while the fractal range of density correlations decreases, force patterns reorganize, and elastic moduli increase by a large factor. Plastic deformation events correspond to very small changes in the network topology, while the denser regions tend to move like rigid bodies. Elastic properties are dominated by the bending of thin junctions in loose systems. For growing RR those tend to reduce to particle chains, the folding of which, rather than tensile ruptures, controls plastic compaction.
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