Effective behavior of long and short fiber-reinforced viscoelastic composites

We study the homogenized properties of linear viscoelastic composite materials in three dimensions. The composites are assumed to be constituted by a non-aging, isotropic matrix reinforced square or hexagonal arrangements elastic transversely long and short fibers, latter being cylindrical inclusions. effective these kind obtained means semi-analytical approach combining Asymptotic Homogenization Method (AHM) with numerical computations performed Finite Elements (FE) simulations. consider elastic-viscoelastic correspondence principle we derive associated local problems, coefficients Laplace–Carson domain. computed from microscale which equipped appropriate interface loads arising discontinuities material between constituents, for different fibers’ orientations time domain inverting transform. compare our results those given Locally Exact Theory (LEHT), experimental measurements fibers. In doing this, take into consideration Burger’s power-law models. Additionally, present findings fiber demonstrates potential fully dimensional approach.