Non Deterministic Approach in Metal Forming Springback Simulation


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An uncertain approach has been evaluated to analyze the finite element analysis responses for the springback evaluation on a stamped part. In the Metal Forming and Springback simulations a deterministic approach does not take in account uncertain physical variations related to material characteristics, friction conditions, tools active surfaces status, etc. Then, if one of the purposes of the process design it is its reliability, a CAE study in aleatory conditions is the only way to evaluate the process robustness. A study case has been defined and the explicit simulation was performed for the forming stage while, the implicit simulation was performed for the springback phase. Subsequently, a stochastic problem was solved to found the aleatory influence of process parameters such as: anisotropy coefficient, Young modulus and friction between blank and tools to evaluate their effect on the component springback. The evaluation of finite element models in uncertain conditions can be considered like a CAE usage in order to obtain a “Robust Design” for the examinated problem.



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Edited by:

F. Micari, M. Geiger, J. Duflou, B. Shirvani, R. Clarke, R. Di Lorenzo and L. Fratini




A. del Prete et al., "Non Deterministic Approach in Metal Forming Springback Simulation", Key Engineering Materials, Vol. 344, pp. 399-410, 2007

Online since:

July 2007




[1] Jenn-TerngGau, Gary L. Kinzel, A new model for springback prediction in which the Bauschinger effect is considered, International Journal of Mechanical Sciences 43 (2001) 1813- 1832.


[2] Sang-Wook Lee, A study on the bi-directional springback of sheet metal stamping, Journal of Materials Processing Technology 167 (2005) 33-40.


[3] Zhong-Yi Cai, Ming-Zhe Li, Xi-Di Chen, Digitized die forming system for sheet metal and springback minimizing, Technique Int J Adv Manuf Technol (2006) 28: 1089-1096.


[4] Altair® HyperStudy® Design of Experiments, Optimization & Stochastic Studies, 2004 Altair Engineering, Inc.

[5] http: /en. wikipedia. org/wiki/Sampling.

[6] Bradley N., Maker Xinhai Zhu, Input Parameters for Springback Simulation using LSDYNA, Livermore Software Technology Corporation, June, (2001).

[7] Lars A. Fredriksson, Response Surface Optimization with Ls-Dyna using Altair HyperOpt and Stochastic Analysis, SECOND EUROPEAN LS-DYNA CONFERENCE, June 14-15, 1999 in Gothenburg.

[8] Ls-Dyna User's Manual, Livermore Software Technology Corporation, (2003).

[9] Kenneth Crow DRM Associates, 1998 (http: /www. npd-solutions. com/robust. html).

[10] U. Schramm, A. Sahai, Reliability-based Design using Abaqus and Altair HyperWorks", Abaqus Users, Conference (2003).