Non-steady effective thermal properties of semi-infinite unidirectional fiber-reinforced composites using thermal wave method |
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| Authors: | Xue-Qian Fang Xiao-Hua Wang Dao-Bin Wang Chao Hu |
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| Affiliation: | aDepartment of Engineering Mechanics, Shijiazhuang Railway Institute, Bei Erhuan Road, Shijiazhuang, Hebei 050043, China;bDepartment of Computer and Information Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, China;cSchool of Aerospace Engineering & Applied Mechanics, Tongji University, Shanghai 200092, China |
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| Abstract: | Photothermal techniques and effective medium method combining with image method are applied to investigate the non-steady effective thermal properties of semi-infinite unidirectional fiber-reinforced composites, and the effect of the semi-infinite surface on the non-steady effective thermal properties is considered. The dispersion relation for the effective wave number in the semi-infinite random composites is derived. The image method is used to satisfy the adiabatic boundary condition at the semi-infinite surface. The numerical solutions of the non-steady effective thermal properties are obtained by using an iterative scheme. Analyses show that the variation of the non-steady effective thermal properties near the semi-infinite surface is significantly different from those of the infinite composite structure. The effects of the circular frequency of thermal waves, the volume fraction of fibers, and the properties contrast ratio on the maximum non-steady effective properties near the surface are examined. Comparison with the steady case is also given. |
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| Keywords: | Semi-infinite fiber-reinforced composites Effective medium method Non-steady effective thermal properties Image method |
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