Antiplane magneto-electro-elastic effective properties of three-phase fiber composites |
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| Affiliation: | 1. Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, La Habana CP. 10400, Cuba;2. Instituto de Ingeniería y Tecnología, Universidad Autónoma de Ciudad Juárez, Av. Del Charro 610 Norte Cd. Juárez, Chihuahua 32310, Mexico;3. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, Delegación de Álvaro Obregón, 01000 México, D.F., Mexico;4. Laboratoire de Mécanique et d’Acoustique, Université Aix-Marseille, CNRS, Centrale Marseille, 31Chemin Joseph-Aiguier, 13402 Marseille Cedex 20, France |
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| Abstract: | In the present work, applying the asymptotic homogenization method (AHM), the derivation of the antiplane effective properties for three-phase magneto-electro-elastic fiber unidirectional reinforced composite with parallelogram cell symmetry is reported. Closed analytical expressions for the antiplane local problems on the periodic cell and the corresponding effective coefficients are provided. Matrix and inclusions materials belong to symmetry class 6mm. Numerical results are reported and compared with the eigenfunction expansion-variational method (EEVM) and other theoretical models. Good agreements are found for these comparisons. In addition, with the herein implemented solution, it is possible to reproduce the effective properties of the reduced cases such as piezoelectric or elastic composites obtaining good agreements with previous reports. |
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| Keywords: | Fiber-reinforced composites Effective properties Homogenization Magneto electro elastic coupling |
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