A hybrid membrane/shell method for calculating springback of anisotropic sheet metals undergoing axisymmetric loading |
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| Institution: | 1. Michigan State University, Department of Mechanical Engineering, East Lansing, MI 48824, USA;2. Alcoa Technical Center, Alcoa Center, PA 15069-0001, USA;3. Seoul National University, Department of Fiber and Polymer Science, Seoul, South Korea;1. Dipartimento di Ingegneria Meccanica ed Aerospaziale, Sapienza Università di Roma, Via Eudossiana 18, 00184 Roma, Italy;2. Dipartimento di Ingegneria dell''Impresa, Università degli Studi di Roma Tor Vergata, Via del Politecnico 1, 00133 Roma, Italy;1. Aerospace Institute of Agency for Defense Development, Daejeon, Republic of Korea;2. Dept. of IT Convergence Engineering, Kumoh National Institute of Technology, Kumi, Republic of Korea;1. School of Engineering and Applied Science, Aston Logistics and Systems Institute, Aston University, Birmingham, United Kingdom;2. Department of Supply Chain Management, University of Tennessee, United States;3. Department of Management, Farmer School of Business, Oxford, OH, 45056-1879, United States;4. University of Vaasa, School of Marketing and Communication, Finland;5. Erasmus University Rotterdam, the Netherlands;6. Swiss Federal Institute of Technology Zurich, Switzerland;1. Dipartimento di Ingegneria Civile e Architettura, Università di Pavia, Via Ferrata 3, 27100 Pavia, Italy;2. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy;3. Basic Chemicals and Plastics Research Center, Versalis S.p.A., Stabilimento di Mantova Via Taliercio 14, 46100 Mantova, Italy |
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| Abstract: | To reduce the computation cost of finite element analyses aiding die design for sheet metal stamping, a hybrid membrane/shell method was developed to determine the springback of anisotropic sheet metal undergoing axisymmetric loading. The hybrid membrane/shell method uses a membrane model to analyze the stamping operation. The bending/unbending strains and stresses varying through thickness are calculated analytically from the incremental shape determined by the membrane analysis. These bending strains and stresses and the final membrane shape are used with a shell finite element model to unload the sheet and calculate springback. The accuracy of the springback prediction with the hybrid method was verified against the springback of 2036-T4 aluminum and a DQAK steel sheet drawn into a cup. It was found that, in comparison with a full shell model, a minimum of 50% CPU time saving and a comparable accuracy was achieved when the hybrid method was used to predict springback. |
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