Modeling the Frictional Contact Geometry in Machining Using Fractals

该基金将研究机械加工中刀具-芯片界面的摩擦，并试图量化卡扣和滑动岛的程度。通过先前的探索性拨款进行的初步分析将扩大，以更好地检查摩擦接触的非欧几里得性质。切削条件、刀具和工作材料、刀具制备和大气氧化的作用将在评估地图区域和周长时确定。本研究的主要目的是建立刀具前刀面摩擦接触几何的分形模型。摩擦的物理和数学将使用分形几何方法进行研究，以确定切削变量（如接触面积、切削力、能量消耗、刀具温度和磨损）之间的关系，扩展初步工作。这些模型将通过从常规和专门实验中获得的数据进行验证和改进。癫痫发作将在一个基本的水平和作用的物理机制在其产生和消失在界面量化。查封将通过不同的刀具表面处理、氧化、刀具涂层、加工前的工作材料和刀具磨损来研究。导致不同分形维数的材料和切削条件将进行物理建模和实验验证。相似，缩放和平稳性的问题将适当地研究，以开发切割过程的预测模型。该项目预计将导致切割过程的改进模型，从而实现其迫在眉睫的自动化。该研究对刀具设计、刀具涂层评价和工艺优化具有重要意义。摩擦模型的可扩展性，以更精细的加工尺度也将导致这种处理。

This grant will research friction at the tool-chip interface in machining and will attempt to quantify the extents of seizure and sliding islands. Preliminary analysis conducted through a prior exploratory grant will be extended to better examine the non-Euclidean nature of frictional contact. The role of cutting conditions, tool and work materials, tool preparation and atmospheric oxidation will be determined in evaluating map areas and perimeters. The primary objective of this research is to develop a fractal model of the frictional contact geometry at the tool rake face in machining. The physics and mathematics of friction will be investigated using a fractal geometric approach, to determine relationships for cutting variables such as area of contact, cutting forces, energy consumed, tool temperatures and wear, extending on preliminary work. These models will be validated and improved with data obtained from conventional as well as specialized experiments. Seizure will be examined at a fundamental level and the role of physical mechanisms in its creation and extinction at the interface quantified. Seizure will be studied by varying tool surface preparation, oxidation, controlled tool coatings, work material prior processing and tool wear. The material and cutting conditions leading to different fractal dimensions will be physically modeled and validated experimentally. Issues of similarity, scaling and stationarity will be suitably studied to develop predictive models of the cutting process.This project is expected to lead to improved models of the cutting process and consequently to its imminent automation. This research will be useful in cutting tool design, tool coating evaluation, and process optimization. The scalability of frictional models to finer scales of machining will also result from this treatment.