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 5

Comparison between experimental and predicted values of % elongation at = 99.3.

0; (°)	1; (KN)	2; (rpm)	3; (mm/s)	4; (mm)	Elongation (%)		Error	Linear regression	Error
					Experimental	GP
3	2	600	75	4	10.6	10.58972	−0.01028	13.42925	−2.82925
3	2	600	90	4	9.8	9.935991	0.135991	13.4663	−3.6663
3	2	600	115	4	12.3	12.31535	0.015351	13.52805	−1.22805
3	2	900	90	4	8.2	8.212519	0.012519	15.4433	−7.2433
3	2	900	115	4	13	12.61499	−0.38501	15.50505	−2.50505
3	2	1200	90	4	7.2	7.499517	0.299517	17.4203	−10.2203
3	2.5	600	75	4	7.99	7.825613	−0.16439	13.73675	−5.74675
3	2.5	600	90	4	8.8	8.686644	−0.11336	13.7738	−4.9738
3	2.5	600	115	4	8.4	8.531275	0.131275	13.83555	−5.43555
3	2.5	900	75	4	6.8	6.794509	−0.00549	15.71375	−8.91375
3	2.5	900	90	4	7.9	7.832968	−0.06703	15.7508	−7.8508
3	2.5	900	115	4	8.1	7.955772	−0.14423	15.81255	−7.71255
3	2.5	1200	75	4	7.6	7.602399	0.002399	17.69075	−10.0908
3	2.5	1200	90	4	7.5	7.640862	0.140862	17.7278	−10.2278
3	2.5	1200	115	4	8.1	8.265376	0.165376	17.78955	−9.68955
3	3	600	75	4	9	9.003488	0.003488	14.04425	−5.04425
3	3	600	90	4	9.3	9.507143	0.207143	14.0813	−4.7813
3	3	600	115	4	9.1	9.102601	0.002601	14.14305	−5.04305
3	3	900	90	4	11	10.72836	−0.27164	16.0583	−5.0583
3	3	900	90	5	11.6	11.36213	−0.23787	16.2593	−4.6593
3	3	900	115	3	10.8	11.06383	0.263827	15.91905	−5.11905
3	3	900	115	4	11.1	11.01522	−0.08478	16.12005	−5.02005
3	3	900	115	5	11.8	11.60359	−0.19641	16.32105	−4.52105
3	3	1200	75	4	9.5	9.406263	−0.09374	17.99825	−8.49825
3	3	1200	90	3	9.6	9.381887	−0.21811	17.8343	−8.2343
3	3	1200	90	4	9.7	9.373203	−0.3268	18.0353	−8.3353
3	3	1200	115	3	8.9	8.98249	0.08249	17.89605	−8.99605
3	3	1200	115	4	9	8.98249	−0.01751	18.09705	−9.09705
3	3	1200	115	5	9.2	9.224294	0.024294	18.29805	−9.09805
4	2	600	75	3	12.6	12.564	−0.036	15.06025	−2.46025
4	2	600	75	4	12.3	12.50683	0.206832	15.26125	−2.96125
4	2	600	75	5	12.9	12.62934	−0.27066	15.46225	−2.56225
4	2	600	90	3	10.3	10.46052	0.160518	15.0973	−4.7973
4	2	600	90	4	10.8	10.66317	−0.13683	15.2983	−4.4983
4	2	600	90	5	11	10.83043	−0.16957	15.4993	−4.4993
4	2	600	115	3	8.2	8.279408	0.079408	15.15905	−6.95905
4	2	600	115	4	8.4	8.279408	−0.12059	15.36005	−6.96005
4	2	600	115	5	8.7	8.663003	−0.037	15.56105	−6.86105
4	2	900	75	3	8.3	8.192486	−0.10751	17.03725	−8.73725
4	2	900	75	4	8.1	8.220214	0.120214	17.23825	−9.13825
4	2	900	75	5	8.5	8.29337	−0.20663	17.43925	−8.93925
4	2	900	90	3	7.8	8.055097	0.255097	17.0743	−9.2743
4	2	900	90	5	8.5	8.278371	−0.22163	17.4763	−8.9763
4	2	900	115	3	9.6	10.02004	0.420042	17.13605	−7.53605
4	2	900	115	4	9.8	10.03759	0.237595	17.33705	−7.53705
4	2	1200	75	3	13.1	12.78323	−0.31677	19.01425	−5.91425
4	2	1200	75	4	12.7	12.71508	0.015078	19.21525	−6.51525
4	2	1200	90	3	11.2	11.36919	0.16919	19.0513	−7.8513
4	2	1200	90	5	11.3	11.42188	0.121882	19.4533	−8.1533
4	2	1200	115	3	12.2	12.17725	−0.02275	19.11305	−6.91305
4	2	1200	115	4	12	12.14144	0.141442	19.31405	−7.31405
4	2	1200	115	5	12.6	12.38238	−0.21762	19.51505	−6.91505
4	2.5	600	75	3	12.7	12.72953	0.029527	15.36775	−2.66775
4	2.5	600	75	4	12.25	12.60696	0.356962	15.56875	−3.31875
4	2.5	600	75	5	13	12.73714	−0.26286	15.76975	−2.76975
4	2.5	600	90	3	12.4	12.3729	−0.0271	15.4048	−3.0048
4	2.5	600	90	4	11.8	12.19971	0.399713	15.6058	−3.8058
4	2.5	600	90	5	12.6	12.23691	−0.36309	15.8068	−3.2068
4	2.5	900	90	4	9.25	9.1138	−0.1362	17.5828	−8.3328
4	2.5	900	115	4	10.1	10.11175	0.011749	17.64455	−7.54455
4	2.5	1200	75	4	11	11.33745	0.337448	19.52275	−8.52275
4	2.5	1200	90	4	11.4	11.42875	0.028755	19.5598	−8.1598
4	2.5	1200	115	4	12.2	11.88495	−0.31505	19.62155	−7.42155
4	3	600	75	4	12.7	12.6509	−0.0491	15.87625	−3.17625
4	3	600	90	4	12.3	12.44309	0.143089	15.9133	−3.6133
4	3	600	115	4	11.8	11.48007	−0.31993	15.97505	−4.17505
4	3	900	75	4	10.1	9.74895	−0.35105	17.85325	−7.75325
4	3	900	90	4	9.3	9.357395	0.057395	17.8903	−8.5903
4	3	900	115	4	9.35	9.391239	0.041239	17.95205	−8.60205
4	3	1200	75	4	12	12.40683	0.406835	19.83025	−7.83025
4	3	1200	90	4	12.2	12.08855	−0.11145	19.8673	−7.6673
3	2	600	75	3	10.5	10.54728	0.047283	13.22825	−2.72825
3	2	600	90	3	10.1	10.04854	−0.05146	13.2653	−3.1653
3	2	600	115	3	11.8	11.50068	−0.29932	13.32705	−1.52705
3	2	900	90	3	7.9	8.212519	0.312519	15.2423	−7.3423
3	2	900	115	3	11.6	11.83127	0.231271	15.30405	−3.70405
3	2	1200	90	3	7.8	7.551078	−0.24892	17.2193	−9.4193
3	2.5	600	75	3	8	7.825613	−0.17439	13.53575	−5.53575
3	2.5	600	90	3	8.4	8.406551	0.006551	13.5728	−5.1728
3	2.5	600	115	3	8.9	8.74754	−0.15246	13.63455	−4.73455
3	2.5	900	75	3	7.1	7.337808	0.237808	15.51275	−8.41275
3	2.5	900	90	3	7.6	7.651297	0.051297	15.5498	−7.9498
3	2.5	1200	75	3	7.2	7.602399	0.402399	17.48975	−10.2898
3	2.5	1200	90	3	7.1	6.999386	−0.10061	17.5268	−10.4268
3	2.5	1200	115	3	7.9	7.564971	−0.33503	17.58855	−9.68855
3	3	600	75	3	9.1	9.036617	−0.06338	13.84325	−4.74325
3	3	600	90	3	9.3	9.520501	0.220501	13.8803	−4.5803
3	3	600	115	3	8.7	9.102601	0.402601	13.94205	−5.24205
3	3	900	90	3	11	10.80059	−0.19941	15.8573	−4.8573
3	3	900	115	3	11.1	11.06383	−0.03617	15.91905	−4.81905
3	3	1200	115	3	8.9	8.98249	0.08249	17.89605	−8.99605
4	2	600	75	3	12.7	12.564	−0.136	15.06025	−2.36025
4	2	600	90	3	10.7	10.68751	−0.01249	15.0973	−4.3973
4	2	600	115	3	8.3	8.279408	−0.02059	15.15905	−6.85905
4	2	900	75	3	8.5	8.192486	−0.30751	17.03725	−8.53725
4	2	900	90	3	7.8	8.055097	0.255097	17.0743	−9.2743
4	2	1200	75	3	13	12.78323	−0.21677	19.01425	−6.01425
4	2	1200	90	3	11.2	11.36919	0.16919	19.0513	−7.8513
4	2	1200	115	3	12.2	12.17725	−0.02275	19.11305	−6.91305
4	2.5	600	75	3	12.7	12.72953	0.029527	15.36775	−2.66775
4	2.5	600	90	3	12.4	12.3729	−0.0271	15.4048	−3.0048
4	2.5	900	75	3	9	9.157757	0.157757	17.34475	−8.34475
4	2.5	900	90	3	8.7	9.142856	0.442856	17.3818	−8.6818
4	2.5	1200	75	3	11.2	11.39373	0.193726	19.32175	−8.12175
4	2.5	1200	90	3	11.6	11.58502	−0.01498	19.3588	−7.7588
4	3	600	75	3	12.9	12.57058	−0.32942	15.67525	−2.77525
4	3	600	90	3	12.7	12.49178	−0.20822	15.7123	−3.0123
4	3	600	115	3	11.5	11.57182	0.071815	15.77405	−4.27405
4	3	900	75	3	10.3	9.788599	−0.5114	17.65225	−7.35225
4	3	900	90	3	9.5	9.395347	−0.10465	17.6893	−8.1893
4	3	900	115	3	9.3	9.485898	0.185898	17.75105	−8.45105
4	3	1200	75	3	12.5	12.42801	−0.07199	19.62925	−7.12925
4	3	1200	115	3	11.8	12.07808	0.278084	19.72805	−7.92805