Rate-independent crystalline and polycrystalline plasticity,application to FCC materials |
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| Institution: | 1. Department of Mechanical Engineering and Mining Machinery Engineering, Indian Institute of Technology (ISM), Dhanbad, Jharkhand 826004, India;2. Research and Development Center, Department of Mechanical Engineering, RVS Educational Trust''s Group of Institutions, RVS School of Engineering and Technology, Dindigul, Tamilnadu 624005, India;1. Department of Medical Oncology, Jinling Hospital, School of Medicine, Southern Medical University, Guangzhou, 510282, China;2. Department of Oncological Surgery, The First Affiliated Hospital of Wenzhou Medical University, Wenzhou, 325000, China;3. Department of Medical Oncology, Jinling Hospital, Medical School of Nanjing University, Nanjing, 210002, China;1. College of Materials Science and Engineering, Chongqing University, Chongqing, 400044, China;2. National Engineering Research Center for Magnesium Alloys, Chongqing, 400044, China;1. Department of Materials Science and Engineering, Pohang University of Science and Technology (POSTECH), Pohang 37673, Republic of Korea;2. Center for High Entropy Alloy, Pohang University of Science and Technology (POSTECH), Pohang 37673, Republic of Korea |
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| Abstract: | This paper deals with the simulation of the mechanical response and texture evolution of cubic crystals and polycrystals for a rate-independent elastic–plastic constitutive law. No viscous effects are considered. An algorithm is introduced to treat the difficult case of multi-surface plasticity. This algorithm allows the computation of the mechanical response of a single crystal. The corresponding yield surface is made of the intersection of several hyper-planes in the stress space. The problem of the multiplicity of the slip systems is solved thanks to a pseudo-inversion method. Self and latent hardening are taken into account. In order to compute the response of a polycrystal, a Taylor homogenization scheme is used. The stress–strain response of single crystals and polycrystals is computed for various loading cases. The texture evolution predicted for compression, plane strain compression and simple shear are compared with the results given by a visco-plastic polycrystalline model. |
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