Applying Elastic Unfolding Technique in Nonlinear Inverse Finite Element Method for Sheet Forming Modeling

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Abstract:

A simplified efficient finite element method called the inverse approach (IA) has been developed to estimate initial blank and strain distribution in sheet metal forming. This algorithm is an inverse method since the position of points in final shape is known and their corresponding position in the initial blank should be determined. This approach deals with the geometric compatibility of finite elements, plastic deformation theory, and virtual work principle. This method often based on implicit static algorithms, sometimes causes convergence problems because of strong nonlinearities. This paper introduces an initial guess to speed up the convergence of Newton-Raphson solution. The application to a sheet forming example shows good agreement between forward incremental and IFEM results.

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Advanced Materials Research (Volumes 341-342)

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242-246

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September 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] S.A. Majlessi and D. Lee, Deep drawing of square-shaped, sheet metal parts Part1. FEM, Transaction of ASME, (1993).

Google Scholar

[2] S. A Majlessi and D. Lee, Development of multistage sheet metal forming analysis method, J. Mat. Shaping Tech., Vol. 6 (1), p.41–54, (1988).

DOI: 10.1007/bf02833582

Google Scholar

[3] Y. Q. Guo J. L. Batoz J. M. Detraux P. Duroux, Finite element procedures for strain estimations of sheet metal forming parts, Int. J. numerical methods in engineering, Vol. 30, pp.1385-1401, (1990).

DOI: 10.1002/nme.1620300804

Google Scholar

[4] J.L. Batoz, Y. Guo and F. Mercier, The inverse approach with simple triangular shell elements for large strain predictions of sheet metal forming parts, Engineering Computations, Vol. 15, No. 7, pp.864-892, (1998).

DOI: 10.1108/02644409810236894

Google Scholar

[5] M.H. Parsa a, P.H. Matin, M.M. Mashhadi, 'Improvement of initial blank shape for intricate products using slip line field, Journal of Materials Processing Technology 145 (2004) 21–26.

DOI: 10.1016/s0924-0136(03)00858-6

Google Scholar

[6] Jian Lan, Xianghuai Dongb, Zhigang Li, Inverse finite element approach and its application in sheet metal forming, Journal of Materials Processing Technology 170 (2005) 624–631.

DOI: 10.1016/j.jmatprotec.2005.06.043

Google Scholar

[7] SD. Liu, M. Karima, A one step finite element approach for production design of sheet metal stamping., , In: Chenot JL, Wood RD, Zienkiewicz OC, editors. NUMIFORM 92, Valbonne, France. Rotterdam: A.A. Balkema; 1992. P. 497.

Google Scholar

[8] R. Azizi and A. Assempur, Application of linear inverse finite element method in prediction of the optimum blank in sheet metal forming, Journal of Materials and Design 29 (2008) 1965-(1972).

DOI: 10.1016/j.matdes.2008.04.015

Google Scholar