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Modeling and optimization of dead metal zone to reduce cutting forces in micro-milling of hardened AISI D2 steel

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Abstract

Improving machining performance with reduced power consumption is a big challenge for the manufacturer to reduce production cost. Since the dead metal zone (DMZ) directly affects the cutting forces, the present study aims to optimize the DMZ to reduce the cutting and thrust forces in the micro-milling of hardened AISI D2 steel using teaching–learning-based optimization technique (TLBO). Finite element model for DMZ geometry and mechanistic models for cutting and thrust forces are developed, integrated and estimated the cutting and thrust forces. The estimated forces are compared with experimental results and a good agreement found between them. In the next stage, process parameters (cutting speed and feed per tooth) and tool parameters (nose radius and rake angle) are optimized using TLBO technique to minimize DMZ geometry keeping the surface roughness (≤ 2 µm), tool wear (≤ 30 µm) and amplitude of cutter vibration (≤ 30 µm) as constraints. The optimal working condition is as follows: a spindle speed of 2225 rpm, a feed per tooth of 5.0 µm, and a nose radius of 7.6 µm and rake angle of 3.0°. Under the optimal working condition, side length of DMZ and DMZ angle is found as 13.8 mm and 5.74°, respectively, and the cutting and thrust forces are estimated as 3.27 and 2.37 N, respectively. These cutting and thrust forces are about 21.3–65.7 and 34.8–55.3%, respectively, less than the experimental results.

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Abbreviations

ζ 1 and ζ 2 :

Slip-line angles (o)

ρ :

Prow angle (o)

Ø :

Shear angle (o)

\(\theta\) :

Slip-line field angle (o)

t c :

Chip thickness (mm)

AD and DF:

Side lengths of DMZ (mm)

r :

Nose radius (mm)

F T :

Thrust force (N)

\( \sigma_{{\text{f}}}\) :

Plastic flow stress (MPa)

A, B, C, n and m :

Material constants

\(T_{{{\text{room}}}}\) :

Room temperature (oC)

S :

Spindle speed (rpm)

Ra:

Surface roughness (µm)

Y :

Amplitude of tool vibration (µm)

α :

DMZ angle (o)

γ :

Rake angle (o)

δ :

Slip-line central fan angles (o)

t u :

Uncut chip thickness (mm)

AE :

Shear plane length (mm)

w :

Width of cut (mm)

F C :

Cutting force (N)

k :

Shear flow stress (MPa)

\(\frac{{\varepsilon^{o} }}{{\varepsilon_{0}^{o} }}\) :

Reference strain rate

ε :

Plastic strain (MPa)

\(T_{{{\text{melt}}}}\) :

Melting point (oC)

F:

Feed/tooth (µm/tooth)

VB:

Flank wear (µm

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Acknowledgements

This work (Major project) was supported by Science and Engineering Research Board, Department of Science and Technology, Government of India. Grant No.: SERB/F/1761/2015-16.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Guntur, India

    Bachina Harish Babu & K. Venkata Rao

  2. Department of Mechanical Engineering, National Institute of Technology Warangal, Hanamkonda, India

    B. Satish Ben

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  1. Bachina Harish Babu
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Correspondence to Bachina Harish Babu.

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Babu, B.H., Rao, K.V. & Ben, B.S. Modeling and optimization of dead metal zone to reduce cutting forces in micro-milling of hardened AISI D2 steel. J Braz. Soc. Mech. Sci. Eng. 43, 142 (2021). https://doi.org/10.1007/s40430-021-02861-5

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