Hybrid hierarchical homogenization theory for unidirectional CNTs-coated fuzzy fiber composites undergoing inelastic deformations

A new hybrid homogenization approach is proposed for simulating the homogenized and local response of unidirectional fuzzy fiber nanocomposites undergoing inelastic deformations. Fuzzy composites are hierarchical reinforcing structures where fibers coated with radially aligned carbon nanotubes (CNTs) embedded in matrix. In this spirit, modeled as a three-scale medium. At microscale, CNTs-reinforced matrix nanocomposite interphase (NCP) attached to main via asymptotic expansion (AEH). mesoscale, an intermediate equivalent that substitutes NCP constructed using composite cylinder assemblage (CCA) transformation field analysis (TFA) techniques. macroscale, surrounding handled by AEH which yields effective whole composites. The technique facilitates accurate efficient studies deformation mechanisms periodic arrays single or multiple inclusions under biaxial triaxial loading conditions, eliminating exhausting mesh discretizations encountered classical full-field homogenization. An added advantage theory captures fiber-fiber interaction neglected CCA-TFA, issue leads exceptionally stiff post-yielding stress-strain common mean-field micromechanics approaches.