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Elastic strain energy analysis of the dislocation structures in fatigue
Affiliation:1. Institute of Strength Physics and Materials Science of Siberian Branch of Russian Academy of Sciences, 2/4 Akademichesky Ave., Tomsk, 634055, Russia;2. National Research Tomsk State University, 36 Lenin Ave., Tomsk, 634050, Russia;3. Technion–Israel Institute of Technology, Haifa, 32000, Israel;4. Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang, 110016, China;1. Light Alloy Research Institute, Central South University, Changsha, 410083, China;2. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, 410083, China;3. Central Iron & Steel Research Institute, Beijing, 100081, China;4. Hubei University of Automotive Technology, Shiyan, 442020, China;5. School of Metallurgy and Environment, Central South University, Changsha, 410083, China;1. Department of Materials Science and Engineering, Johns Hopkins University, Baltimore, MD 21218, USA;2. School of Materials Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, Minhang, Shanghai 200240, China;3. Department of Mechanical Engineering, Faculty of Engineering, Chiba Institute of Technology, 2-17-1 Tsudanuma, Narashino, Chiba 275-0016, Japan;4. Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;5. Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;1. Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA;2. Department of Materials Science and Engineering, The University of Tennessee, Knoxville, TN 37996, USA;3. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61810, USA;1. Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang, Sichuan 621999, China;2. Institute of Material, China Academy of Engineering Physics, Mianyang 621908, China;3. International Joint Laboratory for Light Alloys (Ministry of Education), College of Materials Science and Engineering, Chongqing University, Chongqing 400044, China
Abstract:The dislocation structures which evolve during fatigue have been investigated in terms of the elastic strain energy. Mathematical models for the configuration of dislocation dipoles such as the ladder structure and vein structure are introduced. The elastic strain energy for these models is calculated and evaluated using the eigenstrain method. This analysis may provide insight as to why persistent slip bands in fatigued copper are created after the vein structure reaches a certain stage and why persistent slip bands consist of ladder rungs with an equal spacing of about 1.3 μm at room temperature.
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