SLIP LINE FIELD APPROACH FOR THE ASSESSMENT OF SCRAPING FORCES

Document Type : Original Article

Authors

1 Associated Professor, Production Engineering Department, Faculty of Eng., & Technology. Suez Canal University, Port Said, Egypt.

2 Assistant Professor, Production Engineering Department , Faculty of Engineering & Technology, Menoufia University, Shebin El-Kom, Egypt.

Abstract

A slip line field technique is adapted to estimate scraping forces in the present research for conical tools scraping. Hencky's equations are applied assuming orthogonal slip line field to prevail while scraping. The contact pressures acting around half of the cone periphery are calculated assuming sticking conditions to exists along conical tools
sides. In such a manner, the values of horizontal and vertical force components acting on the tool are predicted. The horizontal force are found to be functions of the work-piece material yield strength in shear and the contact area of the cone together with its half semi-cone angle. On the other hand, the vertical force components are found to be functions of the workpiece material yield strength in shear, the unit area of the cone which is in contact with the workpiece and half semi-cone angle. The apparent coefficient of friction can be also predicted via the proposed slip line
field technique. Such theoretical predictions are compared with a large amount of experimental data obtained for the dry scraping of sharp cones of high speed steel tools cuting free machining brass as well as commercially pure aluminium blocks. Fair agreements between theory and experiments are noted. Reasons for discrepancies are discussed.