现代制造工程 ›› 2026, Vol. 544 ›› Issue (1): 108-116.doi: 10.16731/j.cnki.1671-3133.2026.01.013

• 制造技术/工艺装备 • 上一篇    下一篇

Sierpinski方毯分形微织构刀具切削性能仿真研究*

邹志萍1,2, 陈肖1,2, 刘春1,2, 张楚鹏1,2, 楚建宁1,2, 覃昊1,2, 朱宝义1,2,3   

  1. 1 湖北工业大学机械工程学院,武汉 430068;
    2 现代制造质量工程湖北省重点实验室,武汉 430068;
    3 智能制造龙城实验室,常州 213164
  • 收稿日期:2025-07-08 出版日期:2026-01-18 发布日期:2026-03-17
  • 通讯作者: 朱宝义,博士,讲师,硕士生导师,主要研究方向为难加工材料的先进加工技术。E-mail:20231031@hbut.edu.cn
  • 作者简介:邹志萍,硕士研究生,主要研究方向为难加工材料的先进加工技术。
  • 基金资助:
    *智能制造龙城实验室开放课题项目(LK202401);湖北工业大学博士科研启动基金项目(XJ2023002801)

Simulation study on cutting performance of Sierpinski carpet fractal micro-textured tool

ZOU Zhiping1,2, CHEN Xiao1,2, LIU Chun1,2, ZHANG Chupeng1,2, CHU Jianning1,2, QIN Hao1,2, ZHU Baoyi1,2,3   

  1. 1 School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China;
    2 Hubei Provincial Key Laboratory of Modern Manufacturing Quality Engineering, Wuhan 430068, China;
    3 Longcheng Laboratory of Intelligent Manufacturing, Changzhou 213164, China
  • Received:2025-07-08 Online:2026-01-18 Published:2026-03-17

摘要: 在刀具前刀面制备特定形状的微织构能有效减小切削力,降低切削温度,提升刀具的切削性能,延长刀具的使用寿命。微织构尺寸和几何形状显著影响刀具的切削性能。然而目前微织构刀具的设计以简单的、复合的或仿生学的几何图案为主,其切削性能有待进一步提升;因此,基于分形理论设计了一种Sierpinski方毯分形图案的微织构刀具,并进行Sierpinski方毯分形微织构刀具(Fractal-Textured Tool,FTT)正交切削AISI4340合金钢仿真研究,将其切削性能与规则方块微织构刀具(Micro-Textured Tool,MTT)、无微织构刀具(Non-Textured Tool,NTT)对比。仿真结果表明,与MTT和NTT相比,FTT更能有效减小刀-屑实际接触面积,调节切削过程中切屑流动,使前刀面上的法向接触应力分布更加均匀,避免了应力集中,从而降低了前刀面上的最大应力;FTT显著降低了切削过程中的切削力,尤其是在高进给量下切削性能更优异,其平均主切削力和平均进给抗力降幅最大,分别降低了16.3 %和14.3 %;FTT前刀面上温度分布更均匀,避免了高温积聚,从而使其降温性能得以提升,且在进给量均匀增长的条件下,FTT切削刃处平均温度增幅仅为7.5 %,均低于其他刀具。

关键词: Sierpinski分形, 微织构, 切削性能, 切削仿真, 切屑流动

Abstract: The preparation of specifically shaped micro-textures on the tool rake face has proven effective in reducing cutting forces,lowering cutting temperatures,enhancing tool performance,and extending tool life. The size and geometry of micro-textures significantly affect the cutting performance. However,the current design of micro-textured tools mainly focuses on simple,compound or bionic geometric patterns,and their cutting performance still needs to be further improved. In this study,a novel Fractal-Textured Tool (FTT) incorporating a Sierpinski carpet pattern was designed based on fractal theory. Orthogonal cutting simulations of AISI4340 alloy steel were conducted to evaluate the cutting performance of the FTT in comparison with a regular square-pattern Micro-Textured Tool (MTT) and a Non-Textured Tool (NTT). Simulation results demonstrate that,compared to MTT and NTT,the FTT more effectively reduces the actual tool-chip contact area,regulates chip flow,and achieves a more uniform distribution of normal contact stress on the rake face,thereby mitigating stress concentration and lowering peak stress levels. The FTT also significantly reduces cutting forces,particularly under high feed rates,with the largest observed reductions in average main cutting force and feed force reaching 16.3 % and 14.3 %,respectively. Moreover,the FTT exhibits a more uniform temperature distribution on the rake face,preventing local heat accumulation and enhancing cooling performance. Under increasing feed rates,the average temperature rise at the cutting edge of the FTT is the lowest among all tools tested,limited to just 7.5 %.

Key words: Sierpinski fractal, micro-texture, cutting performance, cutting simulation, chip flow

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