Abstract

The aim of this work is to develop a mathematical model to predict the depth of laser treated zone in the LTH process. The Fourier equation of heat conduction is solved by using the Finite Difference Method in cylindrical coordinates in order to study the temperature distribution produced in a workpiece and hence to obtain the depth to which hardening occurs. The theoretical simulations are compared with results produced experimentally by a CO2 laser operating in continuous wave, showing good agreement.

Highlights

  • An increasing number of technological applications requires the operation of mechanical components, such as gears, pistons and bearing, under severe conditions of high stresses located on the workpiece surface

  • The Laser transformation hardening (LTH) process is confined to those materials which exhibit some solid phase transformation and the transformed structures quench to a harder structure than previously

  • A previous validation of the developed mathematical model was achieved by comparing the simulated martensitic delimitation zone with the one generated by the model of Bokota[6] for the case of processing a AISI 1089 steel sample under the action of a laser beam having a Gaussian distribution of energy, power of 1500 W and scanning speed of 16.67 mm/s

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Summary

Introduction

An increasing number of technological applications requires the operation of mechanical components, such as gears, pistons and bearing, under severe conditions of high stresses located on the workpiece surface. There is a good number of published literature[4,11,12,13,14,15,16] on laser hardening process analyzing thermal and metallurgical effects in the workpiece where phase transformation occurs during the process of heating followed by cooling. The aim of this work is to develop a mathematical model to predict the depth of laser treated zone in the LTH process. The Fourier equation of heat conduction was solved by using the Finite Difference Method in cylindrical coordinates in order to study the temperature distribution produced in a workpiece and obtain the depth to which hardening occurs by analyzing the cooling rates according to the continuous cooling diagram. The theoretical simulations are compared with results produced experimentally by a CO2 laser operating in continuous wave, showing good agreement

Mathematical Model
Validation of The Model
Conclusions
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