Materials
The powder metallurgical high-speed steel AISI M3:2 (ASP®2023) was selected as experimental material. The chemical composition is shown in Table 1. The high-speed steel was heat treated in vacuum at an austenitizing temperature of 1400 °C and tempered three times at 560 °C for 1 h each time. After heat treatment, the material has a hardness of 62 ± 2 HRC. The specimens used have a cuboid geometry with dimensions of 43 × 30 × 12 mm3.
Table 1 Chemical composition of AISI M3:2 [10] Grinding and dressing process
Toric grinding pins
Vitrified bonded toric grinding pins (Bärhausen, Germany) with a diameter of T = 30 mm and a torus radius r = 5 mm were used for the investigations. As an abrasive served CBN with a grain size of dG = 54 µm at a concentration of C = 125.
Dressing process
Dressing of the toric grinding pins is performed via downdressing by a pulling dressing strategy with a profile forming roll RI12-G4215-125-4-6-R2-40-10-TK, D426-C150 (Dr. Kaiser Diamantwerkzeuge, Germany) with a diameter of dr = 125 mm. A C72F105 spindle (Dr. Kaiser Diamantwerkzeuge, Germany) was used as dressing spindle. During the dressing process the rotating toric grinding pin is guided over the dressing tool with the dressing feed vfad and the dressing infeed aedH. By repeating the process with the respective infeed aedH between the dressing strokes, the grinding wheel profile is thus created according to the principle of profiling. A schematic illustration of the dressing process as well as the movements of the toric grinding pin are shown in Fig. 1.
The parameters used in the dressing processes are shown in nr: dressing spindle speed, nsd: toric grinding pin speed.
In Table 2, two different combinations of dressing parameters with a constant dressing coverage of Ud = 4 s were selected for the investigations. In addition, the dressing parameters were chosen so that the combination A1 had a speed ratio of qd = 1. The speed ratio qd is the ratio of the circumferential speed of the grinding tool to the circumferential speed of the dressing spindle (1). A dressing process with a speed ratio of qd = 1 is called crushing. When dressing the grinding tool bond by crushing, the material is removed from the grinding tool by crushing of bond bridges due to the pressure exerted by the profile forming roll. In addition, crushing of the bond leads to microcracks in the bond, which facilitate crack propagation and allow the bond layers to break out at lower process forces. For the combination A2 a speed ratio of qd = 0.8 was chosen.
$${q}_{d}= \frac{{v}_{cr}}{{v}_{cs}}$$
(1)
with: vcs: tool cutting velocity during dressing, qd: speed ratio, vcr: dressing spindle velocity.
Table 2 Parameters for the dressing process Grinding with toric grinding pins
The grinding experiments were carried out on an RMF 600 DS (Röders Tec, Germany) machine tool. Two principal grinding strategies, frontal and lateral, can be used when grinding with toric grinding pins (cf. Fig. 2). In the frontal strategy, the cutting speed vc and the feed speed vf are oriented orthogonally to each other. In the lateral strategy, cutting speed vc and feed speed vf are parallel to each other. In the investigations conducted, both the frontal and lateral grinding strategies were used for both dressing strategies. The experiments were repeated once. The applied process parameters are listed in Table 3.
Table 3 Parameters of the experimental setup For grinding with toric grinding pins, the contact conditions can be described by the contact length lg and contact width bg. Depending on the used grinding strategy, these contact conditions are formed differently. Figure 3 shows the geometric contact values of contact length and contact width for lateral and frontal grinding strategy. For the lateral grinding strategy inclination is realized transverse to feed direction via the tilt angle βfN, for frontal grinding in feed direction inclination is realized via the lead angle βf. Due to a lead angle βf = 30° and a tilt angle βfN = 30° used in this investigation, the contact width bg is always larger for the frontal grinding strategy than for the lateral grinding strategy. The contact length lg is always smaller for the frontal grinding strategy than for the lateral strategy [12].
For the geometric contact conditions, a fundamental distinction needs to be made between the first path and the subsequent paths due to the overlap of the toric grinding pin. The parameters describing the contact conditions, like the contact width bg, contact length lg and contact cross section Ags for the first path were calculated according to the formulae (2)–(5) for the lateral grinding strategy. The calculation of the parameters is described in detail in [13, 14].
$${b}_{gS}={2l}_{gF}= \frac{\pi r}{90} \arccos\left(\frac{r-{a}_{e}}{r}\right)$$
(2)
$$2{l}_{gS}={b}_{gF}= \frac{\pi T}{90} \arccos\left(\frac{T-{a}_{e}}{T}\right)$$
(3)
$${A}_{g,1,S}= \frac{{r}^{2}}{2}\left(\frac{\pi {{\cos}}^{-1}\left(\frac{r-{a}_{e}}{r}\right)}{90}- {\sin}\alpha \right)$$
(4)
$$\mathrm{with} \, \, \alpha = {\sin}\left(2{{\cos}}^{-1}\left(\frac{r-{a}_{e}}{r}\right)\right)$$
(5)
The description of the output variables of the toric grinding pins is based on the wear mechanism of clogging and on a consideration of the G-ratios. In the case of clogging, it is a matter of the clogging/closure of the pores by welded chips. The G-ratio is the ratio of the machined volume VWst to the volume of material of the worn tool VWZ. It can therefore be calculated according to the formulae (6) and (7). In the presented study the torus radii were measured at 10 measuring points on each toric grinding pin in order to calculate the G-ratio.
$$G=\frac{{V}_{Wst}}{{V}_{WZ}}$$
(6)
$${V}_{WZ}=\frac{90\pi }{360}*\left({{r}_{T,v}}^{2}-{{r}_{T,n}}^{2}\right)*\pi {r}_{T,n}$$
(7)
with: rT,v: torus radius before grinding, rT,n: torus radius after grinding.
Surface measurements
The measurements of the geometry of the toric grinding pins and of their wear were performed using a Helicheck measuring machine (Walter AG, Germany) and an Infinity Focus XL200 G5 topography measuring device (Alicona Imaging GmbH, Austria). The topography measurements were evaluated using the software “µsoft analysis premium 7.11”® (NanoFocus AG, Germany).
Residual stress measurements
The residual stresses are measured by using the sin2ψ-method in ω-mode as described by Macherauch and Müller [15]. A Seifert 3003 TT dual-circuit diffractometer system (GE Inspection Technologies, Germany) with a Cr-anode in combination with a V-filter and a collimator with a diameter of dc = 2 mm is used for the measurement. The measurement is performed with an anode current of Ia = 35 mA and an accelerating voltage of Ua = 30 kV, with an information depth of τmax = 5.5 µm. The Bragg reflections and elastic constants used for the workpiece material AISI M3:2 are listed in Table 4.
Table 4 Specific parameters used for residual stress measurements