Semi-analytical finite element method applied for characterizing micropolar fibrous composites

A semi-analytical finite element method (SAFEM), based on the two-scale asymptotic homogenization method (AHM) and the finite element method (FEM), is implemented to obtain the effective properties of two-phase fiber-reinforced composites (FRCs). The fibers are periodically distributed and unidirectionally aligned in a homogeneous matrix. This framework addresses the static linear elastic micropolar problem through partial differential equations, subject to boundary conditions and perfect interface contact conditions. The mathematical formulation of the local problems and the effective coefficients are presented by the AHM. The local problems obtained from the AHM are solved by the FEM, which is denoted as the SAFEM. The numerical results are provided, and the accuracy of the solutions is analyzed, indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.