Prediction of elastic moduli and ultimate strength of fiber/yarn-reinforced elastic–plastic matrix using Fourier series approach and cuboidal/wedge sub-volumes - ScienceDirect

Prediction of elastic moduli and ultimate strength of fiber/yarn-reinforced elastic–plastic matrix using Fourier series approach and cuboidal/wedge sub-volumes - ScienceDirect: Homogenization of mechanical properties of a heterogeneous material using analytical/semi-analytical micromechanics approaches is computationally less expensive than that through numerical techniques. However, analytical methods cannot be easily applied to a complex distribution of the microstructure in a unit cell (or a representative volume element). Here, we alleviate this by accommodating cuboidal and wedge sub-volumes in the Fourier series approach (FSA). This is akin to using penta-and hexa-hedral elements to discretize the geometry in 3-dimensional finite element analysis (FEA)......