Research Article

Mathematical Modelling of a Friction Stir Welding Process to Predict the Joint Strength of Two Dissimilar Aluminium Alloys Using Experimental Data and Genetic Programming

Table 3

Parameter setting for genetic programming.

ParametersValue assigned

Population size ()600

Number of generations1000

Maximum depth of tree6

Maximum generation60

Functional setMultiply (×), plus (+), minus (−), divide (/)

Terminal setTilt angle, axial load, tool rotational speed, welding speed, thickness of plate, tensile strength, elongation, and impact strength.

Number of runs100

Mutation rate15%

Crossover rate(i) 0.80 for nonhomologous
(ii) 0.20 for homologous

Reproduction rate0.05

Fitness

TerminationIndividual program emerges when the sum of absolute errors is zero (is less than specified)
 (a) the required number of runs is accomplished (10000) or
 (b) the required correlation coefficient () is obtained (when is less than 0.1)

Terminal set