transport properties in fibrous elastic rhombic composite with imperfect contact condition

in this contribution, effective elastic moduli are obtained by means of the asymptotic homogenization method (ahm), for oblique two-phase fibrous periodic composites with two models (spring and interphase) of imperfect contact conditions. this work is an extension of previous reported results, where only perfect contact for elastic or piezoelectric composites for square and hexagonal arrays were considered. the constituents of the composites exhibit transversely isotropic properties. a doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. the behavior of the shear elastic coefficient for different geometry arrays related to the angle of the cell is studied. as validation of the present method, some numerical examples and comparisons with theoretical and experimental results verified that the present model is efficient for the analysis of composites with presence of imperfect interface and parallelogram cell. the effect of the arrangement of the cells on the shear effective property is observed. the present method can provide benchmark results for other numerical and approximate methods.