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Polycrystal constraint and grain subdivision
Institution:1. Department of Public Health Sciences, University of Virginia, PO Box 801379, Carter Harrison Research Building MR-6, 345 Crispell Drive, Room 2520, Charlottesville, VA 22908-1379, USA;2. Division of Infectious Diseases and International Health, Department of Medicine, University of Virginia, PO Box 801379, Carter Harrison Research Building MR-6, 345 Crispell Drive, Room 2520, Charlottesville, VA 22908-1379, USA;1. Key Laboratory of Interface Science and Engineering in Advanced Materials, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China;2. Shanxi Research Center of Advanced Materials Science and Technology, Taiyuan 030024, China;3. College of Materials Science and Engineering, Chongqing University, Chongqing 400045, China;4. Department of Materials Science and Engineering, Norwegian University of Science and Technology (NTNU), Trondheim 7491, Norway;5. Center for Advanced Materials, Qatar University, P.O. Box 2713, Doha, Qatar;6. Department of Engineering, University of Leicester, Leicester LE1 7RH, UK;1. Engineering Training Center, Kunming University of Science and Technology, Yunnan, Kunming, China;2. State Key Laboratory of Mechanical Transmissions, College of Materials Science and Engineering, Chongqing University, Chongqing, 400044, China;3. Chongqing Academy of Science and Technology, Chongqing, 401123, China;4. Department of Mechanical Engineering Technology, Purdue University, West Lafayette, IN, 47906, USA;5. Research Institute for New Materials Technology, Chongqing University of Arts and Sciences, Chongqing, 402160, China;6. Chongqing Chang-an Automobile Co., Ltd, Chongqing, 400023, China;1. Collecte Localisation Satellites, 8-10 rue Hermès, Parc technologique du Canal, 31520 Ramonville Saint-Agne, France;2. NASA, Goddard Space Flight Center, Code 698, Greenbelt, MD 20771, USA;3. Institute of Astronomy, Russian Academy of Sciences, 119017, 48 Pjatnitskaya St., Moscow, Russia;4. ESA/European Space Operation Centre, Robert-Boch-Strasse 5, 64293 Darmstadt, Germany;5. Geodetic Observatory Pecný, Research Institute of Geodesy, Topography and Cartography, Ond?ejov 244, 25165, Czech Republic;6. Institut National de l’information Géographique et forestière, Saint-Mandé, France;7. Institut de Physique du Globe de Paris, UMR 7154, Gravimétrie et Géodésie Spatiale, Université Paris Diderot, Sorbonne Paris Cité, Paris, France;8. Centre National d’Etudes Spatiales, 18 avenue Edouard Belin, 31401 Toulouse Cedex 9, France;1. College of Materials Science and Engineering, Fuzhou University, Fujian 350116, China;2. School of Mechanical Engineering and Automation, Fuzhou University, Fujian 350116, China;3. Instrumentation Analysis and Measurement Center, Fuzhou University, Fujian 350116, China;1. School of Materials Science and Engineering, Shenyang Ligong University, Shenyang 110159, China;2. Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
Abstract:Typically, intergranular constraint relations of various sorts are introduced to improve the accuracy of prediction of texture evolution and macroscale stress–strain behavior of metallic polycrystals within the context of simple polycrystal averaging schemes. This paper examines the capability of a 3-D polycrystal plasticity theory (Kocks, U.F., Kallend, J.S., Wank, H.-R., Rollett, A.D. and Wright, S.I. (1994), popLA, Preferred Orientation Package—Los Alamos. LANL LA-CC-89-18), based on the Taylor assumption of uniform deformation among grains, to predict texture evolution and stress–strain behavior for complex finite deformation loading paths of OFHC Cu. Compression, shear and sequences of deformation path are considered. It is shown that the evolution of texture is too rapid and that the intensity of peaks is more pronounced than for experimentally measured pole figures. Comparisons of both stress–strain behavior and texture evolution are made with experiments, with and without the inclusion of latent hardening effects. It is argued that grain subdivision processes accommodate intergranular kinematical constraints, leading to the notion of a generalized Taylor constraint that considers the distribution of subgrain orientations. The subdivision process is assumed to follow the experimentally observed refinement of low energy dislocation structures associated with geometrically necessary dislocations. A modification of the kinematical structure of crystal plasticity is proposed based on generation of geometrically necessary dislocations that accommodate a fraction of the plastic stretch and rotation at the scale of a grain.
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