Two analytical models for the study of periodic fibrous elastic composite with different unit cells |
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| Authors: | Reinaldo Rodrí guez-Ramos,P. Yan,Juan C. Ló pez-Realpozo,Raú l Guinovart-Dí az,Juliá n Bravo-Castillero,Federico J. Sabina,C.P. Jiang |
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| Affiliation: | 1. Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, Habana 4, CP-10400, Cuba;2. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;3. Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom2 |
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| Abstract: | In this work, the effective elastic moduli of two-phase fibrous periodic composites are obtained by means of the Asymptotic Homogenization Method (AHM) and eigenfunction expansion-variational method (EEVM), for different types of parallelogram cells. The constituents exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The behavior of the shear elastic coefficient for different geometry arrays of the cell related to the angle of the fibers is studied. Some numerical examples and comparisons with other theoretical results demonstrate that both methods (AHM and EEVM) are efficients for the analysis of composites with presence of rhombic cell. The effect of the configuration of the cells on the shear effective property is observed. |
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| Keywords: | Effective properties Double periodic Fibrous composites Conductivity |
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