其他摘要：Composite materials of polymeric base show considerable time dependence in their mechanical properties. In the present work, the effective viscoelastic behavior of onedirectional fiber composites, based on components properties and geometry, is determined. The numerical approach proposed is based upon the theory of periodic homogenization - Sanchez-Palencia. We use expansions of the periodic component of displacements by means of Fourier series or alternatively Chebyshev polynomials (modified in order to fulfill periodic conditions). The viscoelastic localization problem is solved as a sequence of elastic problems with initial viscoelastic strains. The solution of each elastic problem is achieved through minimization of a functional with respect to the coefficients of the displacement expansions (Fourier or Chebyshev). Results obtained for the elastic case agree with solutions in the literature. Viscoelastic results are compared with analytical and numerical (finite element) results. The advantage of the proposed method is its generality. In particular, it may be used with no fundamental changes for aging viscoelastic materials.
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