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Advances in micro-mechanical modeling using a bonded-particle model and periodic homogenization within discrete element framework applied to heterogeneous ceramics
Affiliation:1. IRCER Laboratory, UMR CNRS 7315, Université de Limoges, Limoges, France;2. ArcelorMittal Global Research and Development, Maizières-lès-Metz, France;3. ITASCA Consultants S.A.S., Lyon, France;4. PPRIME Institute, UPR CNRS 3346, Université de Poitiers, Chasseneuil, France;1. College of Physics and Electronic Information, Weifang University, Weifang 261061, China;2. College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China;3. School of Electronic Science and Engineering, Xi’an Jiaotong University, Xi’an 710049, China;1. Department of Materials Design Innovation Engineering, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464–8603, Japan;2. Research Center for Functional Materials, National Institute for Materials Science, Sengen 1–2-1, Tsukuba, Ibaraki 305–0047, Japan;3. Department of Mechanical Science and Bioengineering, Osaka University, 1–3 Machikaneyamacho, Toyonaka, Osaka 560–8531, Japan;4. Institute of Materials and Systems for Sustainability, Nagoya University, Nagoya, Furo-cho, Chikusa-ku, Nagoya 464–8603, Japan;1. MOE Key Laboratory of New Processing Technology of Nonferrous Metals and Materials, Guangxi Key Laboratory of Optical and Electronic Materials and Devices, College of Materials Science and Engineering, Guilin University of Technology, Guilin 541004, PR China;2. Spallation Neutron Source Science Centre, Dongguan 523803, PR China;3. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, PR China;4. Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, PR China;5. College of Chemistry and Bioengineering, Guilin University of Technology, Guilin 541004, PR China;1. School of Materials Science and Engineering, Shanghai Institute of Technology, Shanghai 201418, China;2. Institute of Chemical Materials, China Academy of Engineering Physics, Mianyang 621900, China;3. State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan 430070, China;1. National United Engineering Laboratory for Advanced Bearing Tribology, Henan University of Science and Technology, Luoyang 471023, China;2. School of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471023, China;3. State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China;4. School of Environmental Engineering and Chemistry, Luoyang Institute of Science and Technology, Luoyang 471023, China;1. School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Tangshan Research Institute, Beijing Institute of Technology, Tangshan 063007, China;3. School of Physics and Electronic Information, Yan''an University, Yanan 716000, China
Abstract:The Discrete Element Method (DEM) can account for microcracks initiations and propagations within the microstructure and their impact on the macroscopic properties of ceramics. Combing the DEM with the Periodic Homogenization (PH) allows working with a limited number of elements, thus facilitating the multiscale transition of the elastic properties of ceramics: from the microscale (inclusion/pores scale) to the macroscopic elastic behavior of such continuum media. However, the PH approach for a continuum media is currently less developed in DEM than the FEM. Hence, this study aims to consolidate a DEM framework, using a bonded-particle model and PH to improve the prediction of the elastic properties (Cij tensor) of ceramics. Here, a face-centered cubic unit cell is combining? with periodic boundary conditions to build a 3D representative volume element in DEM to model the macroscopic elastic properties of model materials and is validated by experimental data, analytical and FEM approaches.
Keywords:Discrete element method (DEM)  Refractory ceramics  Periodic homogenization  Two-phase materials  Anisotropy
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