Some properties of irregular 3-D particles

Some properties of irregular 3-D particles
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DOI:
10.1016/j.powtec.2005.10.013
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发表时间:
2006-02
期刊:
影响因子:
5.2
通讯作者:
M. Taylor;E. Garboczi;S. Erdoğan;D. Fowler
M. Taylor;E. Garboczi;S. Erdoğan;D. Fowler
中科院分区:
工程技术2区
文献类型:
--
作者:
M. Taylor;E. Garboczi;S. Erdoğan;D. Fowler

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本文讨论了工程师感兴趣的不规则颗粒的一些性质,包括体积、密度和表面积。关于这些特性的数值和统计信息对于以下方面至关重要:(a)更好地了解颗粒;(B)提出更有效的利用颗粒材料的方法;(c)建立数学模型,减少冗长的实际测试。虽然动机,例子和应用程序是从建筑材料行业,结果应该是其他人感兴趣的。使用的测量技术包括X射线计算机断层扫描(CT)和多个投影图像,并通过传统实验室技术进行增强。为了比较这些技术的结果,研究了一组12块岩石,其中6块在19 mm和12.7 mm(0.75英寸)之间。至0.5英寸)6个在12.7 mm和6.3 mm(0.5 in.至0.25英寸)在尺寸上。还对这些岩石的微细形态(等效球径<80 μm)进行了研究和比较。岩石的形状是通过将三维与其体积和表面积相关联来研究的。这三个物理尺寸被定义在两个不同的方式:直接测量的三个独特的正交尺寸的岩石表面上,和尺寸从使用的绝对一阶矩的体积和主二阶矩的体积。这些测量和计算的力矩允许开发基于矩形平行六面体和三轴椭球体的三参数等效形状模型。考虑的所有类型的三参数等效形状模型在预测体积和表面积方面都提供了可接受的精度,对于考虑的岩石类型,箱形模型通常比基于椭圆形的等效形状模型更具物理性和现实性。
This paper discusses some of the properties of irregular particles that are of interest to engineers, including volume, density and surface area. Numerical and statistical information on these properties is essential (a) for a better understanding of particulates, (b) to suggest more efficient ways to utilize particulate materials and (c) to permit the creation of mathematical models that can reduce the need for lengthy real-world testing. While the motivation, examples and applications are from the construction materials industry, the results should be of interest to others. Measurement techniques used included X-ray computed tomography (CT) and multiple projected images, augmented by traditional laboratory techniques. To compare the results of these techniques, a set of 12 rocks were studied of which six were between 19 mm and 12.7 mm (0.75 in. to 0.5 in.) in size, and six were between 12.7 mm and 6.3 mm (0.5 in. to 0.25 in.) in size. Microfine versions of these rocks (<80 μm equivalent spherical diameter) were also studied and compared. The shapes of the rocks were studied by relating three dimensions to their volume and surface area. These three physical dimensions were defined in two different ways: direct measurement of three unique orthogonal dimensions on the rock surface, and dimensions obtained from the use of absolute first moments of volume and principal second moments of volume. These measurements and calculated moments allowed the development of three-parameter equivalent shape models based on rectangular parallelepipeds and tri-axial ellipsoids. All types of three-parameter equivalent shape models considered provided acceptable accuracy in predicting both volume and surface area, with the box models being generally more physical and realistic than the ellipsoid-based equivalent shape models for the type of rocks considered.