New exact multi-coated ellipsoidal inclusion model for anisotropic thermal conductivity of composite materials |
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| Institution: | 1. Faculty of Civil Engineering, HCMC University of Technology and Education, Vietnam;2. Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam;3. Faculty of Civil Engineering, Duy Tan University, Danang 550000, Vietnam;4. Graduate University of Science and Technology, VAST, Vietnam;5. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Vietnam;6. School of Mechanical Engineering, Changwon National University, South Korea;7. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan;1. LAMAI, FST Marrakech, Université Cadi Ayyad Marrakech, Morocco;2. LIPOSI, ENSA Khouribga, Université Sultan Moulay Slimane, Morocco;3. LMA FST Béni-Mellal, Université Sultan Moulay Slimane, Morocco;1. Department of Civil and Environmental Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;2. Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;1. State Key Laboratory of Coast and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;2. Institute of Earthquake Engineering, Dalian University of Technology, Dalian 116024, China;3. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100038, China |
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| Abstract: | The present study deals with a new micromechanical modeling of the thermal conductivity of multi-coated inclusion-reinforced composites. The proposed approach has been developed in the general frame of anisotropic thermal behavior per phase and arbitrary ellipsoidal inclusions. Based on the Green's function technique, a new formulation of the problem of multi-coated inclusion is proposed. This formulation consists in constructing a system of integral equations, each associated to the thermal conductivity of each coating and the reference medium. Thanks to the concept of interior- and exterior-point Eshelby's conduction tensors, the exact solution of the problem of multicoated inclusion is obtained. Analytical expressions of the intensity in each phase and the effective thermal conductivity of the composite, through homogenizations schemes such as Generalized self-consistent and Mori-Tanaka models are provided. Results of the present model are successfully compared with those issued from both analytical models and finite elements methods for composites with doubly coated inclusions. Moreover, the developed micromechanical model has been applied to a three phase composite materials in order to analyze combined effects of the aspect ratio and the volume fraction of the ellipsoidal inclusions, the anisotropy of the thermal conductivity of interphase, the thermal conductivity contrast between local phases on the predicted effective thermal conductivity. |
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