Two-scale analysis for deformation-induced anisotropy of polycrystalline metals |
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| Affiliation: | 1. Department of Civil Engineering, Tohoku University, Aza-Aoba 06, Aramaki, Aoba-ku, Sendai, Miyagi 980-8579, Japan;2. Corporate R&D Laboratories, Sumitomo Metal Industries Ltd., Fuso-cho 1-8, Amagasaki, Hyogo 660-0891, Japan;1. National Center for International Research on Structural Health Management of Critical Components, Jiangsu University, 301 Xuefu Road, Jingkou, Zhenjiang 212013, China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an 710049, China;3. Joint Research Center of Strength and Protection Technology in Extreme Environment, Xi’an Jiaotong University, Xi’an 710049, China;1. Department of Metallurgy and Materials Engineering, KU Leuven, B-3001 Heverlee, Belgium;2. Department of Materials Science and Engineering, Ghent University, Technologiepark 903, B-9052 Gent, Belgium;3. Tata Steel, IJmuiden Technology Centre, PO Box 10.000, 1970 CA IJmuiden, The Netherlands;1. Department of Metallurgy, Chair of Simulation and Modeling of Metallurgical Processes, University of Leoben, 8700 Leoben, Austria;2. Christian Doppler Laboratory for Multiphase Simulation of Metallurgical Processes, 8700 Leoben, Austria;3. Material Center Leoben, 8700 Leoben, Austria;4. Reasearch Institute for Solid State Physics and Optics, 1121 Budapest, Hungary |
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| Abstract: | The anisotropic macroscopic mechanical behavior of polycrystalline metals is characterized by incorporating the microscopic constitutive model of single crystal plasticity into the two-scale modeling based on the mathematical homogenization theory, which enables us to derive both micro- and macro-scale governing equations. The two-scale simulations are conducted to evaluate the macroscopic anisotropy induced by microscopic plastic deformation histories of the polycrystalline aggregate. In the simulations, the representative volume element (RVE) composed of several crystal grains is uniformly loaded in one direction, unloaded to macroscopically zero stress in a certain stage of deformation and then re-loaded in the different directions. The last re-loading calculations provide different macroscopic responses of the RVE, which can be the appearance of material anisotropy. We then try to examine the effects of the intergranular and intragranular behaviors on the anisotropy by means of various illustrations of microscopic plastic deformation process without referring to the change of crystallographic orientations. |
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