Rate-dependent quasi-flow corner theory for elastic/visco-plastic materials |
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| Affiliation: | 1. Department of Physics, University of Évora, Colégio Luís António Verney, Rua Romão Ramalho, 59, 7002-554 Évora, Portugal;2. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, Germany;3. Mechanical Engineering Department, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal;4. ICIST, Instituto Superior Técnico, Lisboa, Portugal;1. Institute for Metals Superplasticity Problems, Khalturina 39, Ufa 450001, Russia;2. UEC Tokyo (The University of Electro-Communications), Chofu, Tokyo 182-8585, Japan;2. The State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, PR China;3. The State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, PR China;1. Universitat Jaume I de Castelló, 12071 Castelló de la Plana, Spain;2. Barcelona Supercomputing Center (BSC), 08034 Barcelona, Spain;3. Argonne National Laboratory, Lemont, IL, USA |
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| Abstract: | A rate-dependent quasi-flow plastic constitutive model with punch-speed sensitivity is proposed for the large-deformation sheet metal forming process, which is based on the quasi-flow corner theory and U–L formulation for the virtual work-rate equation. Three kinds of constitutive theories with strain rate dependence, classical flow theory, deformation theory with rate form obeying non-orthogonality rule, and the present quasi-flow corner theory, are introduced into the U–L finite element formulation to simulate the deformation localization processes of plane strain tension in order to investigate effects of strain rate sensitivity on the localizing deformation characters. Furthermore, three kinds of typical forming processes sheet metals, one being an uniaxial stretching and another being a square cup drawing with circular blank, and third being a deep drawing of an oil pan, actual industrial forming part, are also numerically simulated by the present model and compared with experimental results. Good agreement between numerical simulation and experimental ones exhibits the validity of the quasi-flow corner theory. |
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