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Micromechanical analysis of fibrous piezoelectric composites with imperfectly bonded adherence

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Abstract

In this work, two-phase parallel fiber-reinforced periodic piezoelectric composites are considered wherein the constituents exhibit transverse isotropy and the cells have different configurations. Mechanical imperfect contact at the interface of the piezoelectric composites is studied via linear spring model. The statement of the problem for two-phase piezoelectric composites with mechanical imperfect contact is given. The local problems are formulated by means of the asymptotic homogenization method, and their solutions are found using complex variable theory. Analytical formulae are obtained for the effective properties of the composites with spring imperfect type of contact and different rhombic cells. Using the concept of a representative volume element (RVE), a finite element model is created, which combines the angular distribution of fibers and imperfect contact conditions (spring type) between the phases. Periodic boundary conditions are applied to the RVE, so that effective material properties can be derived. The fibers are distributed in such a way that the microstructure is characterized by a rhombic cell. The presented numerical homogenization technique is validated by comparing results with theoretical approach reported in the literature. Some studies of particular cases, numerical examples, and comparisons between the two aforementioned methods with other theoretical results illustrate that the model is efficient for the analysis of composites with presence of rhombic cells and the aforementioned imperfect contact.

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Authors and Affiliations

  1. Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L Vedado, Habana 4, CP 10400, Habana, Cuba

    R. Rodríguez-Ramos, R. Guinovart-Díaz, J. C. López-Realpozo & J. Bravo-Castillero

  2. Instituto de Cibernética, Matemática y Física (ICIMAF), Calle 15 No. 551, entre C y D. Vedado, Habana 4, CP 10400, Habana, Cuba

    J. A. Otero

  3. Instituto Tecnologico de Estudios Superiores de Monterrey CEM, 52926, Edo de Mexico, Mexico

    J. A. Otero

  4. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-126 Delegación de Álvaro Obregón, 01000, México, D.F., México

    F. J. Sabina

  5. Institute of Mechanics, University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    H. Berger, M. Würkner & U. Gabbert

Authors
  1. R. Rodríguez-Ramos
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  2. R. Guinovart-Díaz
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  3. J. C. López-Realpozo
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  4. J. Bravo-Castillero
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  5. J. A. Otero
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  6. F. J. Sabina
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  7. H. Berger
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  8. M. Würkner
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  9. U. Gabbert
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Correspondence to R. Rodríguez-Ramos.

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Rodríguez-Ramos, R., Guinovart-Díaz, R., López-Realpozo, J.C. et al. Micromechanical analysis of fibrous piezoelectric composites with imperfectly bonded adherence. Arch Appl Mech 84, 1565–1582 (2014). https://doi.org/10.1007/s00419-014-0856-8

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  • DOI: https://doi.org/10.1007/s00419-014-0856-8

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