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An upper bound solution for flat tool forging taking into account the bulging of sides
Affiliation:1. Mechanical Engineering Department, Indian Institute of Technology, Hauz Khas, New Delhi-110 029, India;1. Department of Applied Physics, Delhi Technological University, Bawana Road, New Delhi, 110 042, India;2. Department of Physics, K L University, Green Fields, Vaddeswaram, 522 502, Guntur (Dt), A.P, India;3. Nanophotonics Lab, Department of Physics, Indian Institute of Technology-Delhi, Hauz Khas, New Delhi, 110016, India;4. CSIR-National Physical Laboratory, Dr. K.S. Krishnan Marg, Pusa Road, New Delhi, 110012, India;1. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;2. National Key Laboratory for Precision Hot Processing of Metals, Harbin Institute of Technology, Harbin 150001, China;3. School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China;1. State Key Laboratory of Solidification Processing, School of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an, 710072, PR China;2. College of Materials Science and Engineering, Yangtze Normal University, Chongqing, 408100, PR China;1. Division of Vascular Surgery, Eastern Virginia Medical School, Norfolk, Va;2. Department of Otolaryngology, Eastern Virginia Medical School, Norfolk, Va
Abstract:An upper bound solution is constructed for determining the die pressure developed during forging of a rectangular bar with flat tools. The tools do not cover the entire length of the bar. During the compression of the bar the material undergoing deformation bulges out from the sides. The solution arrived at, gives the average die pressure. The assumptions made are: the friction stress at the metal-die interface is constant, the material is rigid, perfectly plastic and the forging is done at slow speeds.
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