The depth of penetration in laser beam welding of steels has been determined by two different techniques. A 23 factorial experiment was used to calculate the depth of penetration as a function of laser power, welding speed, and focal distance. Using Yates’ algorithm, the main effects, the two-factor, and three-factor interactions were determined. A generalized multivariable least squares analysis of the data resulted in an equation which expressed the depth of penetration as a function of power, speed, focal distance, and all combinations of the those variables. A dimensional analysis of laser beam welding resulted in an functional relationship that expressed the depth of welding as a function of laser power, welding speed, beam diameter, and thermal properties of the steel. Both of these techniques were then used to compare the calculations with sets of experimental data.

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