Title: An incremental finite difference model for the cup drawing process

Authors: Hossam H. Gharib, Abdalla S. Wifi, Maher Y.A. Younan, Ashraf O. Nassef

Addresses: OMNI Oil Technologies, Jebel Ali, Dubai, UAE. ' Department of Mechanical Design and Production, Cairo University, Cairo 11511, Egypt. ' Department of Mechanical Engineering, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt. ' Department of Mechanical Engineering, The American University in Cairo, 113 Kasr el Aini Street, Cairo 11511, Egypt

Abstract: This paper develop an incremental finite difference model for the cup drawing process to analyse the stresses and strains in a deforming sheet at any stage of deformation. A search method is introduced to deal with the problem of moving boundary conditions that are not known a priori. The results of the developed model showed good agreement with published experimental ones. This paper is part of a procedure that leads to the optimisation of the blank holder loading scheme. The full procedure as presented in a companion paper published in this journal may be applied in industry to minimise the maximum punch load or the work done during deep drawing process by modifying the blank holder force and at the same time avoid failures by wrinkling or tearing. Developing a predictive/corrective technique for solving the unknown moving boundaries of the deforming sheet. [Received 30 March 2006; Accepted 10 January 2007]

Keywords: analysis; modelling; finite difference method; FDM; computational mechanics; plastic forming; cup drawing; stress; strain; sheet deformation; blank holder loading; punch load; deep drawing; metal stamping.

DOI: 10.1504/IJCMSSE.2007.013833

International Journal of Computational Materials Science and Surface Engineering, 2007 Vol.1 No.1, pp.40 - 56

Published online: 30 May 2007 *

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