Plastic yielding of single notched bars due to bending |
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| Affiliation: | 1. Faculty of Mechanical Engineering, Istanbul Technical University, Gumussuyu 34437, Istanbul, Turkey;2. Department of Mechanical Engineering, Gebze Technical University, Gebze 41400, Kocaeli, Turkey;1. Department of Mathematics, University of Illinois at Urbana–Champaign, IL, USA;2. Sobolev Institute of Mathematics, Novosibirsk 630090, Russia;1. The Key Laboratory of Safety Science of Pressurized Systems, School of Mechanical and Power Engineering, East China University of Science and Technology, Meilong Road 130, Shanghai 200237, PR China;2. Faculty of Metallurgy and Materials Engineering, VSB-Technical University of Ostrava, Czech Republic;1. Key Laboratory of Aerospace Advanced Materials and Performance of Ministry of Education, School of Materials Science and Engineering, Beihang University, Beijing 100191, China;2. Université de Lyon, INSA de Lyon, MATEIS CNRS-UMR 5510, F-69621 Villeurbanne, France;3. Baoti Group Co., Ltd., Baoji 721014, China;4. Northwest Institute for Nonferrous Metal Research, Xi’an 710016, China;1. School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, PR China;2. No. 52 Institute of China Ordnance Industries, Yantai, Shandong 264003, China |
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| Abstract: | A General method is developed to evaluate the constraint factor of single notched bars subjected to pure bending under conditions of plane strain. Upper and lower bounds for the yield moment are obtained. Bounds for the constraint factor are calculated for (a) rectangularly, (b) trapezoidally, and (c) V-notched bars with circular fillets.The theory is checked experimentally for both the overall yield loads and the actual stress distribution, for the above shapes and for circular and V-notches for which Green has worked out an upper bound solution. A new technique to obtain slip-line fields experimentally is also developed. |
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