Scaling behavior for gravity induced flow of a yield stress material
Scaling behavior for gravity induced flow of a yield stress material
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屈服应力材料重力诱导流动的缩放行为
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
M. Davidson
中科院分区：
文献类型：
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作者：
J. Sader;M. Davidson
本文对屈服应力材料圆柱体在重力作用下的变形进行了数值研究，发现其变形服从几何标度律，与变形和屈服应力的大小无关。这个比例定律提供了物体的初始尺寸和最终尺寸之间的基本联系，以及流动开始的临界长宽比（半径/高度）。重要的是，这一发现与[Murata，Mater. Constr.（巴黎）17，117-129（1984）; Pashias等人，J. Rheol. 40，1179-1189（1996）]，其目前用于工业过程中以测量屈服应力，并且预测变形与半径无关。因此，后者模型的准确性进行评估，并提出了一种新的形式主义，这种屈服应力测量。
Deformation of a cylinder of yield stress material under gravitational loading is investigated numerically, and found to obey a geometric scaling law that is independent of both the magnitude of deformation and yield stress. This scaling law provides a fundamental connection between the initial and final dimensions of the body, and the critical aspect ratio (radius/height) for the onset of flow. Importantly, this finding is contrary to the standard model of [Murata, Mater. Constr. (Paris) 17, 117–129 (1984); Pashias et al., J. Rheol. 40, 1179–1189 (1996)], which is currently used in industrial processes to measure the yield stress, and predicts that the deformation is independent of radius. Consequently, the accuracy of the latter model is assessed, and a new formalism for such yield stress measurements proposed.