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Mathematical Modeling Approaches and New Development in Laser Micro Machining Process: A Review

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Abstract

Laser micro-machining process (LMMP) is an emerging technology used for various industrial applications like cutting, grooving, turning, drilling and milling etc. It uses the thermal energy to perform ablation process for making complex shapes in any material. Mathematical modeling of the LMMP process could help the researchers to pre-estimate the corresponding results prior to performing the actual machining process and is also very crucial for optimization of the process parameters. Response surface methodology (RSM) has been effectively used to establish the relationship between input variables (scanning speed, pulse frequency, laser power and number of passes) with the outputs like material removal rate (MRR), surface roughness (Ra) and heat effected zone (HAZ). It has also been used to investigate the influence of the input parameters on the output of the process. In this paper different approaches of mathematical model like RSM based model, heat flow model, strain induced model and groove taper angle model have been discussed. Main Significant parameters for surface roughness are laser scan speed and laser pulse intensity. HAZ width is linearly depends upon pulse intensity and inversely depends upon scanning speed. This paper contributes a review of the different methods of mathematical modeling utilized for laser beam micro-machining process and also significant researches done so far.

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Data Availability Statement

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Abbreviations

LMMP:

Laser micro-machining process

DES:

Drug-eluting stents

RSM:

Response surface methodology

MOGA-II:

Multi-objective genetic algorithm II

MRR:

Material removal rate

µ-EDM:

Micro-electrical discharge machining

Ra:

Surface roughness

µ-LBM:

Micro-laser beam machining

HAZ:

Heat effected zone

µ-ECM:

Micro-electrochemical machining

PRR:

Pulse repetition rate

SV:

Scanning velocity

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The present work is supported by Science and Engineering Research Board (SERB) under Grant [SRG/2019002093(vide diary no. SERB/F/692)].

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  1. Department of Mechanical Engineering, National Institute of Technology, Durgapur, West Bengal, 713209, India

    Tuhin Kar & Arjyajyoti Goswami

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Kar, T., Goswami, A. Mathematical Modeling Approaches and New Development in Laser Micro Machining Process: A Review. Lasers Manuf. Mater. Process. 9, 532–568 (2022). https://doi.org/10.1007/s40516-022-00189-z

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