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A three-dimensional particle roundness evaluation method

机译：三维颗粒圆度评估方法

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摘要

Particle roundness is one of the major shape parameters influencing the micro-and macroscopic mechanical properties of granular materials. Most of the existing particle roundness methods are based on 2D algorithms utilizing particle projections. However, the morphology of a particle projection will be influenced by the subjectively chosen projection angle. Based on the acknowledged Wadell's definitions of particle corner and particle roundness, an innovative method is proposed to evaluate the 3D roundness of realistic particles in a quantitative and objective manner. This method first reconstructs the particle with a triangular mesh. Then, corner portions are identified by finding the surface vertexes with both a high local curvature and large relative connected area. After corner identification, a sphere-filling method is employed to fill the corner portions with spheres. Finally, the 3D Wadell roundness is computed by comparing the average radius of the filling spheres with the radius of the maximum inscribed sphere. Validation of the proposed 3D roundness evaluation algorithm is conducted by comparing the results of the proposed method with the results from theoretical and other existing approaches. The comparison indicates that the proposed method can be used to accurately and objectively evaluate the roundness of realistic particles.
机译：颗粒的圆度是影响颗粒材料微观和宏观力学性能的主要形状参数之一。现有的大多数粒子圆形度方法都是基于利用粒子投影的2D算法。但是，粒子投影的形态会受到主观选择的投影角度的影响。基于公认的Wadell对粒子角和圆度的定义，提出了一种创新的方法，以定量和客观的方式评估现实粒子的3D圆度。该方法首先使用三角形网格重建粒子。然后，通过找到具有高局部曲率和较大的相对连接面积的表面顶点来识别拐角部分。在确定角点之后，采用球体填充方法用球体填充角部。最后，通过将填充球的平均半径与最大内接球的半径进行比较来计算3D Wadell圆度。通过将提出的方法的结果与理论方法和其他现有方法的结果进行比较，对提出的3D圆度评估算法进行了验证。比较表明，该方法可用于准确，客观地评价真实颗粒的圆度。

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