Modeling of intra-crystalline hardening of materials with particles |
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| Affiliation: | 1. School of Civil Engineering, Central South University, Changsha, Hunan 410075, China;2. China Road & Bridge Corporation, Beijing 100011, China;1. Institute of Nuclear and New Energy Technology, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Tsinghua University, Beijing 100084, China;2. School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China;1. Korea Atomic Energy Research Institute, Daejeon 34057, Republic of Korea;2. Department of Convergence Mechanical Engineering, Hanyang University, Seoul 04763, Republic of Korea;3. School of Mechanical Engineering, Hanyang University, Seoul 04763, Republic of Korea;1. Department of Physics, Army Logistics Academy, Chongqing 401331, China;2. College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;3. School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;1. Key Laboratory of Pressure Systems and Safety of MOE, School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China;2. Department of Physics, Logistics Engineering University, Chongqing 401331, China;3. Special Equipment Safety Supervision Inspection Institute of Jiangsu Province, Nanjing 211178, China |
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| Abstract: | A two-level homogenization approach is developed for the micromechanical modeling of the elastoplastic behavior of polycrystals containing intracrystalline non-shearable particles. First, a micro-meso transition is employed to establish a constitutive relation for a single crystal containing particles. The behavior of an equivalent single crystal with particles is derived from the classical formulation of plasticity of the single crystal based on the Schmid's law and crystallographic gliding. Then, the transition to the macroscopic scale is performed with a self-consistent scheme to determine the elastoplastic behavior of the macro homogeneous material. The obtained global behavior is characterized by a mixed anisotropic and kinematic hardening related to an evolution of inter- and intra-granular material microstructure. Results have been analyzed in light of second and third order internal stresses developed during the plastic flow. Especially, yield surfaces have been determined for various preloadings and particle volume fractions. |
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