Mathematical Approach to the Flank Wear of High-Speed Steel Turning Tool in Diverse External Cutting Environments

Abstract

In this article, mathematical models of the High-Speed Steel (HSS) cutting tool flank wear in various external metal cutting environments are developed. Initially, the metal machining operation is conducted in a lathe by machining a cylindrical blank of Stal 45 (analog is AISI 1045) with a turning tool made of P6M5 (analog is AISI M2). The machining process is conducted in three external cutting environments: dry cutting and two different cutting fluid environments. According to tool flank wear results from the experimental research in cutting conditions, three novel mathematical models of the tool flank wear have been developed using the Lagrange polynomial. The models express the flank wear of the HSS cutting tool depending on the cutting speed changes in three various external cutting environments. Developed models were tested using engineering programs, and tool wear indications depending on the cutting speed acquired from the novel models were compared to the original results achieved by the experimental research. Consentaneity of the results taken using the models to the experimental research data was about 93 %, 86%, and 93% for the three models respectively.

Effects of Germanium (Ge) on Hardness and Microstructure of Al-Mg, Al-Cu, Al-Mn System Alloys

“…The samples prepared by cutting were grinded according to GOST 9012-59 [standard], and hardness was quantified using the Brinell scale was used to test for hardness [17][18][19]. The hardness was measured using an ITV-1-m brand hardness measurement devise (Fig.…”

Improving the technology of obtaining highquality castings from steel in sand-clay molds

“…It is necessary to construct a function representing the gas permeability of the mold compound. For this, we construct Lagrange polynomial interpolation nodes, reduce the problem to the algebraic form of solving a system of equations, determine the unknown coefficients, and derive the polynomial of the gas permeability function of the mold as follows [13,14]. y -gas permeability, cm 3 /kg min;…”