Mathematical modeling of laser treatment processes

Munari Pietro; Rivela Cristina; Bianco Marco

doi:10.1117/12.184733

7 September 1994 Mathematical modeling of laser treatment processes

Munari Pietro, Rivela Cristina, Bianco Marco

Proceedings Volume 2207, Laser Materials Processing: Industrial and Microelectronics Applications; (1994) https://doi.org/10.1117/12.184733
Event: Europto High Power Lasers and Laser Applications V, 1994, Vienna, Austria

Abstract

Various mathematical models have been developed at the R.T.M Institute with the aim of producing an instrument for understanding the phenomena of heat transmission by conduction in material subject to a laser radiation. In this paper we consider monodimensional, bidimensional and tridimensional models; they are able of describing the thermal field versus time and depth. To obtain the equation which gives the temperature pattern at various depths and as a function of time, some simplifying hypotheses were made. Normalization was then carried out in order to identify the parameters with physical meaning and to bring the equation into a more general use. Following the development phase of the mathematical models, the models have been checked with experimental tests on some ferrous alloys. The behavior and resultant metallurgical structure in common steels when subject to low and high thermal gradients from laser radiation were evaluated. The correspondence of the models to the experimental values indicates that several simplifying hypotheses made in developing the models do not invalidate them. Moreover it can be state that the possible errors arising from their use create effects which are self-compensating. A comparison of the mentioned models has also been carried out and their field of validity has been studied.

Citation Download Citation

Munari Pietro, Rivela Cristina, and Bianco Marco "Mathematical modeling of laser treatment processes", Proc. SPIE 2207, Laser Materials Processing: Industrial and Microelectronics Applications, (7 September 1994); https://doi.org/10.1117/12.184733

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