Abstract
A fibrous elastic composite is considered with transversely isotropic constituents. Three types of fibers are studied: circular, square, and rhombic. Fibers are distributed with the same periodicity along the two perpendicular directions to the fiber orientation, that is, the periodic cell of the composite is square. The composite exhibits imperfect contact at the interface between the fiber and matrix. Effective properties of this composite are calculated by means of a semi‐analytic method, that is, the differential equations that described the local problems obtained by asymptotic homogenization method are solved using the finite element method. The finite element formulation can be applied to any type of element; particularly, three approaches are used: quadrilateral element of 4 nodes, quadrilateral element of 8 nodes, and quadrilateral element of 12 nodes. Numerical computations are implemented, and different comparisons are presented. Copyright © 2016 John Wiley & Sons, Ltd.
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