Effective behavior of long and short fiber-reinforced viscoelastic composites

Applications in Engineering Science

F. Lebon¹  O.L. Cruz-González²  R. Penta³  J.A. Otero⁴  R. Rodríguez-Ramos⁵  A. Ramírez-Torres⁶ 

[1] School of Mathematics and Statistics, Mathematics and Statistics Building, University of Glasgow, University Place, Glasgow G12 8QQ, UK;Aix Marseille Univ, CNRS, Centrale Marseille, LMA UMR 7031, Marseille, France;Corresponding author.;Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Campus Estado de México, Atizapán de Zaragoza EM CP 52926, Mexico;Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, La Habana CP 10400, Cuba;School of Mathematics and Statistics, Mathematics and Statistics Building, University of Glasgow, University Place, Glasgow G12 8QQ, UK;

关键词: Homogenization;    Viscoelasticity;    Fiber reinforced composites;    Power-law model;    Transverse isotropy;    Finite elements;   

DOI  :  

来源: DOAJ

【 摘 要 】

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

【 授权许可】

Unknown