Micromechanical analysis of fibrous piezoelectric composites with imperfectly bonded adherence

作者：Rodriguez Ramos R^*; Guinovart Diaz R; Lopez Realpozo J C; Bravo Castillero J; Otero J A; Sabina F J; Berger H; Wuerkner M; Gabbert U

来源：Archive of Applied Mechanics, 2014, 84(9-11): 1565-1582.

DOI：10.1007/s00419-014-0856-8

• Asymptotic homogenization
• Interfacial bonding
• Imperfect contact
• Piezoelectric composites
• Finite element method
• Fibrous composite

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.

• 出版日期2014-10