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Cheng, Jenny; Kar, Aravinda

doi:10.1023/a:1018693212407

Cited by 17 publications

(2 citation statements)

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“…These are mainly based on classic analytical solutions to temperature distribution derived by Jeager [29], Rosenthal [30], Carslaw and Jeager [31] and Patankar [32]. Using the Fourier integral transform method, Cheng and Kar [33] developed a three-dimensional quasi-steady state heat conduction model to study the densification of a laser processed ZrO 2 ceramic coating. Thomazin et al [34] employed finite element (FE) techniques to successfully model the laser spot welding of Al 2 O 3 .…”

Section: Introductionmentioning

confidence: 99%

Prediction of melt depth in selected architectural materials during high-power diode laser treatment

Lawrence

Peligrad

Zhou

et al. 2001

Optics and Lasers in Engineering

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The development of an accurate analysis procedure for many laser applications, including the surface treatment of architectural materials, is extremely complicated due to the multitude of process parameters and materials characteristics involved. A one-dimensional analytical model based on Fourier's law, with quasi-stationary situations in an isotropic and inhomogeneous workpiece with a parabolic meltpool geometry being assumed, was successfully developed. This model, with the inclusion of an empirically determined correction factor, predicted high power diode laser (HPDL) induced melt depths in clay quarry tiles, ceramic tiles and ordinary Portland cement (OPC) that were in close agreement with those obtained experimentally. It was observed, however, that as the incident laser line energy increased (>15 W mm -1 s -1/2 ), the calculated and the experimental melt depths began to diverge at an increasing rate. It is believed that this observed increasing discrepancy can be attributed to the fact the model developed neglects sideways conduction which, although it can be reasonably neglected at low energy densities, becomes significant at higher energy densities since one-dimensional heat transfer no longer holds true.

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Section: Introductionmentioning

confidence: 99%

Prediction of melt depth in selected architectural materials during high-power diode laser treatment

Lawrence

Peligrad

Zhou

et al. 2001

Optics and Lasers in Engineering

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“…Many simpler analytical models have been developed to determine the temperature profiles and/or geometry parameters of treated tracks during laser melting and explain and predict the effects of laser induced heating and melting of materials (Cheng & Kar 1997;Lawrence et al 2001). These models simulating a continuous Gaussian mode for the laser beam are mainly based on the classic analytical solution derived by Carslaw & Jaeger (1959) in terms of integrals over the surface of the expression for a point source.…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of the laser surface processing of magnesia partially stabilized zirconia by the means of three-dimensional transient finite element analysis

Hao

Lawrence

2005

Proc. R. Soc. A.

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A numerical technique has been employed to use the ABAQUS finite element analysis (FEA) package in order to simulate the CO 2 laser surface processing of a magnesia partially stabilized zirconia (MgO-PSZ) bioinert ceramic. The transient FEA takes into account the heat radiation, heat convection and phase change during the laser processing. The heat source has been modelled as a stepwise moving laser source with small steps in the scanning direction to approximate continuous movement. It further extends and validates numerical methods by comparing experimental data of surface temperature for laser surface processing of the MgO-PSZ to the solution from the FEA model. Experiments involving CO 2 laser surface melting of the MgO-PSZ were also carried out using various laser process parameters, and the measured melt width and depth of laser-treated tracks were used to evaluate the validity of the models. In order to prevent the crack formation in the laser processing, pre- and post-heating were proposed by using the scanning of laser beam with the lower power before and after laser processing with high power to lower the thermal gradient.

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