Multiobjective Optimization Problem of Dieless Incremental Forming


Article Preview

Single Point Incremental Forming (SPIF) technology has been announced in the recentpast to manufacture sheet metal products by using Computer Numerical Control machines (CNC). Ithas been frequently used in different fields like the aeronautics. In incremental forming, materialsare submitted to permanent deformation by cold forming to produce a variety of three complicateddimensional shapes. The final form of the parts in sheet metal forming is highly affected by thespring-back and the pillow effect, occurring when the material is set free of the forming constraints.In this sense, the best solution is to adopt a process of multiobjective optimization in which a set ofnumerical simulations can be achieved on the basis of the box-Behnken experimental design. In thisway, the design variables are wall angle, initial thickness, tool diameter and incremental size. Tostudy the geometric characteristics, a cone-shaped part with circular base is considered. This paperaims to identify an overview of multiobjective design optimization of incremental metal formingparameters in order to minimize objective functions of pillow effect, springback and thinning ratesimultaneously. In an attempt to solve fitness functions, the method of Multiobjective GeneticAlgorithm (MOGA) is developed in this investigation. In this case, we should consider severalpoints of the appropriate process parameters which correspond to the best compromises with respectto several antagonistic objectives. As well as, a generation of the approximate Pareto optimalsolutions is presented in this study.



Key Engineering Materials (Volumes 651-653)

Edited by:

Aldo Ofenheimer, Cecilia Poletti, Daniela Schalk-Kitting and Christof Sommitsch




H. Arfa et al., "Multiobjective Optimization Problem of Dieless Incremental Forming", Key Engineering Materials, Vols. 651-653, pp. 1078-1083, 2015

Online since:

July 2015




* - Corresponding Author

[1] Le Van Sy, Modeling of Single Point Incremental Forming Process For Metal and Polymeric Sheet. PhD thesis University Of Pauda-(2009).

[2] H. Arfa, R. Bahloul, H. Bel Hadj Salah, Multiobjective Optimization of Single Point Incremental Forming: Comparison Between Isotropic and Combined Hardening Behavior, Key Engineering Materials Vols. 611-612 (2014).


[3] Y.H. Kim, J. J Park. Effect of process parameters on formability in incremental forming of sheet metal,. Journal of Materials Processing Technology 130-131 (2002), pp.42-46.


[4] H. Arfa, R. Bahloul, H. Bel Hadj Salah, Finite element modelling and experimental investigation of single point incremental forming process of aluminum sheets: Influence of process parameters on punch force monitoring and on mechanical and geometrical quality of parts, IJFO-D-11-00110R1, accepted on 05-17-(2012).


[5] R. Bahloul, Ph. Dal Santo, A. Mkaddem, A. Potiron, Optimisation of springback predicted by experimentaland numerical approach by using response surface methodology, Proceedings of International Conference of SheMet, Erlangen, Nurnberg, 573-760, (2005).


[6] R. Bahloul, H. Arfa, H. Bel Hadj Salah, Application of Response Surface Analysis and Genetic Algorithm for the Optimization of Single Point Incremental Forming Process, Key Engineering Materials Vols. 554-557 (2013).


[7] A. Van Bael, P. Eyckens, He S, C. Bouffioux, C. Henrard, A. Habraken, J. Duflou, P. Van Houtte (2007).


[8] E. Zitzler and L. Thiele, Multiobjective optimization using evolutionary algorithms . A comparative case study, In A. E. Eiben, T. B¨ack, M. Schoenauer, and H. P. Schwefel (Eds. ), Parallel Problem Solving from Nature, V, Springer, Berlin, Germany, (1998).