Application of response surface method for FEM bending analysis

The bending of metal parts is subjected to a variety of process parameters. In this paper, a numerical investigation into the bending process was carried out. The aim was to study the effects of the interaction between the clearance and the die corner radius on the evolution of the bending force, the maximum damage within the part, the springback and the Mises stress. Designed experiments are an efficient and cost-effective way to model and analyse the relationships that describe process variations. The numerical simulation of the damage evolution has been modelled by means of continuum damage approach. The Lemaitre damage model, taking into account the influence of triaxiality, has been implemented into ABAQUS/Standard code, in order to predict the risk to external fibres during the process and the changes in material characteristics after bending. The results of the proposed investigation show the strong dependence between the inputs and the responses.

[1]  M. L. Wenner,et al.  On work hardening and springback in plane strain draw forming , 1983 .

[2]  R. Fletcher.  Practical Methods of Optimization , 1988 .

[3]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[4]  J. Lemaître.  A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

[5]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[6]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[7]  Anikó Ekárt,et al.  Genetic algorithms in computer aided design , 2003, Comput. Aided Des..

[8]  Fabrice Morestin,et al.  On the necessity of taking into account the variation in the Young modulus with plastic strain in elastic-plastic software , 1996 .

[9]  Yasuhisa Tozawa,et al.  Forming technology for raising the accuracy of sheet-formed products , 1990 .

[10]  Fabrizio Micari,et al.  The evaluation of springback in 3D stamping and coining processes , 1998 .

[11]  Z. T. Zhang,et al.  Effect of Process Variables and Material Properties on the Springback Behavior of 2D-Draw Bending Parts , 1995 .

[12]  Masaki Shiratori,et al.  Statistical Optimization Method , 1970 .

[13]  Karen A. F. Copeland.  Design and Analysis of Experiments, 5th Ed. , 2001 .

[14]  Christian Fonteix,et al.  Multicriteria optimization using a genetic algorithm for determining a Pareto set , 1996, Int. J. Syst. Sci..

[15]  J. Dennis,et al.  A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems , 1997 .

[16]  Paul T. Boggs,et al.  Sequential Quadratic Programming , 1995, Acta Numerica.

[17]  Farhang Pourboghrat,et al.  Prediction of spring-back and side-wall curl in 2-D draw bending , 1995 .

[18]  Don Edwards,et al.  How to Apply Response Surface Methodology , 1991 .