Effective properties of multi-laminated micropolar composites with Fibonacci and random structures

In this work, the two-scale asymptotic homogenization method (AHM) is developed to describe the effective behavior of multi-laminated elastic micropolar composites with Fibonacci and random structure under perfect contact conditions at the interfaces. The local problem statements over the periodic cell Y are presented, and the corresponding effective stiffness and torque properties are reported. The transversal cross-section of the periodic cell Y is characterized by a laminated structure where the pattern for the layers follows two distinct configurations: (a) a Fibonacci arrangement, and (b) a random sequence focused on the probabilistic binomial function. The non-null effective properties of multi-laminated Cosserat elastic composites with isotropic centro-symmetric constituents are listed. Numerical results for multi-laminated elastic micropolar composites with both types of structures and centro-symmetric isotropic constituents are illustrated and discussed. The overall effective behavior for both cases converges to specific effective values of periodic structures as the number of layers increases.