SGER: Fundamental Examination of the Frictional Boundary Conditions in Machining Using Fractals

这个探索性研究（SGER）项目的目的是开发一个通用的框架，用于表示基于分形理论的加工中的工具-芯片界面的摩擦边界条件。 先前使用文献中的显微照片进行的研究为这种方法提供了依据。 在前期工作中建立的数学模型将用真实的实验数据进行验证和改进。 研究了刀具-切屑界面的分形行为，量化了导致不同分形维数的材料和切削条件。 这些尺寸将用于确定界面处滑动/粘附岛的形状、尺寸、位置和比例，然后将用于计算接触面积、切割力、总功率消耗和切割温度。 将与传统模型进行比较。 该项目有可能对加工过程产生新的见解，并生成更精确的过程模型，用于预测切削力，切削温度和刀具磨损。 如果成功的话，这将有利于刀具设计，涂层材料的开发和加工参数的选择。

The objective of this Small Grant for Exploratory Research (SGER)project is to develop a universal framework for representing the frictional boundary conditions at the tool-chip interface in machining based on fractal theory. Previous studies conducted using photomicrographs from literature provide justification for this approach. Mathematical models developed in preliminary work will be validated and improved with real experimental data. The fractal behavior of the tool-chip interface will be investigated, and the materials and cutting conditions leading to different fractal dimensions will be quantified. These dimensions will be used to determine the shape, size, location and proportion of sliding/sticking islands at the interface, which will then be used to calculate contact area, cutting forces, total power expended, and cutting temperatures. Comparison with traditional models will be conducted. This project has the potential of drawing new insight into the machining process and generating more accurate models of the process for the prediction of cutting forces, cutting temperatures, and tool wear. If successful, it should benefit cutting tool design, coating material development, and machining parameter selection.