Basic geometric analysis of 3-D chip forms in metal cutting.: Part 1: determining up-curl and side-curl radii

• Published in: International journal of machine tools & manufacture Vol. 39; no. 5; pp. 751 - 769
• Main Authors: Kharkevich, A., K. Venuvinod, Patri
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.05.1999; Elsevier
• Subjects: Applied sciences; Chip forms; Cutting; Exact sciences and technology; Geometry; Helical chip; Machining. Machinability; Mechanical engineering. Machine design; Metal cutting; Metals. Metallurgy; Microprocessor chips; Production techniques; Side-curl; Three dimensional; Up-curl; Helical chip; Chip forms; Metal cutting; Side-curl; Up-curl; Helical shape; Geometrical shape; Three dimensional model; Modeling; Chip formation; Machining
• ISSN: 0890-6955; 1879-2170
• DOI: 10.1016/S0890-6955(98)00065-0

The works of Nakayama et al. represent the prevailing view on how the geometry of 3-D helical chip relates to the radii of its up-curl and side-curl. The view is re-examined in this paper and it is shown that the corresponding definitions of the radii are ambiguous. Six sets of alternative hypothetical definitions of up-curl and side-curl radii, which are consistent and plausible when examined from the viewpoints of 2-D up-curl and side-curl, are identified and the respective expressions are derived from a geometric analysis of 3-D chip. The hypotheses are tested using six criteria. It is found that the expressions for the radii of up-curl and side-curl proposed by Nakayama et al. do not satisfy one of the criteria whereas a new solution satisfies all the criteria. Part 2 extends the 3-D geometric analysis and discovers a number of new implications.