Thermoelastic homogenization of periodic composites using an eigenstrain-based micromechanical model |
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| Institution: | 1. Institute for Infrastructure and Environment, Heriot–Watt University, Edinburgh EH14 4AS, United Kingdom;2. Creative Engineering and Management Services, Deans Centre Peshawar, Pakistan;3. Department of Mechanical and Industrial Engineering, College of Engineering, Sultan Qaboos University, Oman;4. Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot–Watt University, Edinburgh, EH14 4AS, United Kingdom;1. College of Mechanical Engineering, Guangxi University, Nanning, PR China;2. School of Mechanical Engineering, Southeast University, Nanjing, PR China;1. College of Science, China University of Petroleum (East China), Qingdao 266580, P. R. China;2. Key Laboratory of Unconventional Oil & Gas Development, China University of Petroleum (East China), Ministry of Education, Qingdao 266580, P. R. China;3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;1. School of Civil Engineering, Nanyang Institude of Technology, Nanyang 473000, China;2. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China |
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| Abstract: | This paper presents a study on effective thermoelastic properties of composite materials with periodic microstructures. The overall elastic moduli and coefficients of thermal expansion of such materials are evaluated by a micromechanical model based on the Eshelby equivalent inclusion approach. The model employs Fourier series in the representation of the periodic strain and displacement fields involved in the homogenization procedures and uses the Levin's formula for determining the effective coefficients of thermal expansion. Two main objectives can be highlighted in the work. The first of them is the implementation and application of an efficient strategy for computation of the average eigenstrain vector which represents a crucial task required by the thermoelastic homogenization model. The second objective consists in a detailed investigation on the behavior of the model, considering the convergence of results and efficiency of the strategy used to obtain the approximate solution of the elastic homogenization problem. Analyses on the complexity of the eigenstrain fields in function of the inclusion volume fractions and contrasts between the elastic moduli of the constituent phases are also included in the investigation. Comparisons with results provided by other micromechanical methods and experimental data demonstrate the very good performance of the presented model. |
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