Rigid-plastic boundaries approach to the analysis of arbitrary profile dies in axisymmetric extrusion |
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| Authors: | Guo-Ming Huang Jang-Ping Wang Hsien-Der Lee Cheng-Sung Chang |
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| Affiliation: | 1. Dept. of Marine Engineering, National Taiwan Ocean University, 2 Pei-Ning Road, Keelung 202-24, Taiwan, ROC;2. Research Centre of Material Processing and Measurement, National Taiwan Ocean University, 2 Pei-Ning Road, Keelung 202-24, Taiwan, ROC;1. Department of Mechanical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. Center of Advanced Manufacturing and Materials Processing (AMMP), 50603 Kuala Lumpur, Malaysia;3. Department of Mechanical Engineering, Faculty of Engineering, Assiut University, Assiut 71516, Egypt;1. Department of Physical Metallurgy and Materials Testing, Montanuniversität Leoben, A-8700 Leoben, Austria;2. Nanotechnology Centre & IT4Innovations Centre, VSB-Technical University of Ostrava, CZ-708 33 Ostrava, Czech Republic;3. Division of Materials Theory, Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden;4. EQUA Simulation Group, Råsundavägen, SE-169 57 Solna, Stockholm, Sweden;1. Case Western Reserve University, Department of Material Science and Engineering, Advanced Manufacturing and Mechanical Reliability Center, Cleveland, OH, United States;2. GE Global Research, Niskayuna, NY, United States |
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| Abstract: | A new theoretical model to analyze arbitrary profiles of extrusion dies is proposed in this paper. In this model, generalized rigid-plastic boundaries with optional variables are used to minimize the power by the upper-bound method. To satisfy the velocity boundary conditions at the entrance and exit, the streamline function is designed in the normal form of r(η, z), which satisfies the flow conditions and the rigid-plastic boundaries. Four sets of profile dies (cosine, elliptic, hyperbolic, and conic) are represented with different slopes at the entrance and exit in order to illustrate this method. Experiments were conducted in order to compare the results with those of the theoretical model. It was found that the predicted load and flow patterns were in agreement with the experimental observation and the results from the literature. |
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