[1] P. Salvini, F. Vivio, V. Vullo, A spot weld finite element for structural modelling, International Journal of Fatigue, 22(8) (2000) 645-656.
[2] S. Aslanlar, A. Ogur, U. Ozsarac, E. Ilhan, Welding time effect on mechanical properties of automotive sheets in electrical resistance spot welding, Materials & Design, 29(7) (2008) 1427-1431.
[3] H. Zhang, J. Senkara, Resistance welding: fundamentals and applications, CRC press, 2011.
[4] H. Adib, J. Jeong, G. Pluvinage, Three-Dimensional Finite Element Analysis of Tensile-Shear Spot-Welded Joints in Tensile and Compressive Loading Conditions, Strength of Materials, 36(4) (2004) 353-364.
[5] S. Xu, X. Deng, An evaluation of simplified finite element models for spot-welded joints, Finite Elements in Analysis and Design, 40(9–10) (2004) 1175-1194.
[6]J.-H. Song, H. Huh, H.-G. Kim, S.-H. Kim, Evaluation of the Finite Element Modeling of Spot-Welded Region for Crash Analysis, Transactions of the Korean Society of Automotive Engineers, 14(2) (2006) 174-183.
[7] S. Dancette, D. Fabregue, R. Estevez, V. Massardier, T. Dupuy, M. Bouzekri, A finite element model for the prediction of Advanced High Strength Steel spot welds fracture, Engineering Fracture Mechanics, 87 (2012) 48-61.
[8] E. Rusiński, A. Kopczyński, J. Czmochowski, Tests of thinwalled beams joined by spot welding, Journal of Materials Processing Technology, 157–158 (2004) 405-409.
[9] X. Kong, Q. Yang, B. Li, G. Rothwell, R. English, X.J. Ren, Numerical study of strengths of spot-welded joints of steel, Materials & Design, 29(8) (2008) 1554-1561.
[10] I. Ranjbar Nodeh, S. Serajzadeh, A.H. Kokabi, Simulation of welding residual stresses in resistance spot welding, FE modeling and X-ray verification, Journal of Materials Processing Technology, 205(1–3) (2008) 60-69.
[11] L. Liu, S.Q. Zhou, Y.H. Tian, J.C. Feng, J.P. Jung, Y.N. Zhou, Effects of surface conditions on resistance spot welding of Mg alloy AZ31, Science and Technology of Welding and Joining, 14(4) (2009) 356-361.
[12] Ó. Martín, P. De Tiedra, M. López, Artificial neural networks for pitting potential prediction of resistance spot welding joints of AISI 304 austenitic stainless steel, Corrosion Science, 52(7) (2010) 2397-2402.
[13] H. Eisazadeh, M. Hamedi, A. Halvaee, New parametric study of nugget size in resistance spot welding process using finite element method, Materials & Design, 31(1) (2010) 149-157.
[14] S. Hassanifard, Analytical and Experimental Investigation of the Effects of Spot Weld Diameter, Gap Distance and Electrode Force on the Mixed Mode of Resistance Spot Welded-Joints, Modares Mechanical Engineering, 11(2) (2011) 39-48.
[15] H.R. Rezaei Ashtiani, R. Zarandooz, M. Sohrabian, The numerical investigation of influence of electrode diameter on nugget diameter and thermal distribution in the resistance spot welding (RSW) of Inconel 625, Modares Mechanical Engineering, 15(8) (2015) 116-124.
[16] Y.G. Liao, Optimal design of weld pattern in sheet metal assembly based on a genetic algorithm, The International Journal of Advanced Manufacturing Technology, 26(5) (2005) 512-516.
[17] M.H. Kadivar, K. Jafarpur, G.H. Baradaran, Optimizing welding sequence with genetic algorithm, Computational Mechanics, 26(6) (2000) 514-519.
[18] S. Hassanifard, M.M. Ettefagh, Numerical and experimental investigation of fatigue life and frequency response of the different arrangements of tensile-shear spot-welded joints, Modares Mechanical Engineering, 12(1) (2012) 77-84.
[19] S. Hassanifard, M. Zehsaz, F. Esmaeili, Spot weld arrangement effects on the fatigue behavior of multispot welded joints, Journal of Mechanical Science and Technology, 25(3) (2011) 647-653.
[20] Q.I. Bhatti, M. Ouisse, S. Cogan, An adaptive optimization procedure for spot-welded structures, Computers & Structures, 89(17) (2011) 1697-1711.
[21] M. Ouisse, S. Cogan, Robust design of spot welds in automotive structures: A decision-making methodology, Mechanical Systems and Signal Processing, 24(4) (2010) 1172-1190.
[22] H. Hasegawa, H. Sasaki, H. Uehara, K. Kawamo, The optimisation of spot-weld positions for vehicle design by using hybrid meta-heuristics, International Journal of Vehicle Design, 43(1-4) (2007) 151-172.
[23] L. Wang, P.K. Basu, J.P. Leiva, Design optimisation of automobile welds, International Journal of Vehicle Design, 31(4) (2003) 377-391.
[24] S.-W. Chae, K.-Y. Kwon, T.-S. Lee, An optimal design system for spot welding locations, Finite Elements in Analysis and Design, 38(3) (2002) 277-294.
[25] A. Version, 6.13, Analysis User’s Guide, Dassault Systems, (2013).
[26] S.S. Rao, S. Rao, Engineering optimization: theory and practice, John Wiley & Sons, 2009.
[27] R.C. Eberhart, J. Kennedy, A new optimizer using particle swarm theory, in: Proceedings of the sixth international symposium on micro machine and human science, New York, NY, 1995, pp. 39-43.
[28] M. Clerc, J. Kennedy, The particle swarm-explosion, stability, and convergence in a multidimensional complex space, Evolutionary Computation, IEEE Transactions on, .37-85 )2002( )1(6
[29] K. Socha, M. Dorigo, Ant colony optimization for continuous domains, European journal of operational research, 185(3) (2008) 1155-1173.