Evaluation of effective transverse mechanical properties of transversely isotropic viscoelastic composite materials

Abstract

A new computational approach for calculation of the effective transverse mechanical properties of unidirectional fiberreinforced composites with linear viscoelastic matrix and elastic fibers is presented. The approach requires the knowledge of stresses outside a cluster representing the structure of composite in question. The effective properties are found from the assumption that the viscoelastic stresses at the distances far away from the cluster are the same as those from a single equivalent inhomogeneity. The approach directly takes into account the interactions between the inhomogeneities. The comparison of the results with several benchmark solutions reveals the advantages of the developed approach.

Polarization approximations for the macroscopic elastic constants of transversely isotropic multicomponent unidirectional fiber composites

“…By taking 0 ¼ M generally as the value of the reference modulus in equations (19) or (22) for our multifiber composite, finally we come to the PA (8) (here referred to as PA0) for K eff .…”

“…To find an appropriate reference modulus 0 for the estimation (19) or (22), one may use a dilute solution limit reference. At dilute proportions of the components V 2 , .…”

“…Hence various effective medium approximations and numerical simulations have been developed for specific composites used in engineering practice. [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] Most effective medium approximations are based on the Eshelby's 25 result for a dilute suspension of ellipsoidal inclusions in an infinite matrix medium.…”

Equivalent inhomogeneity method for evaluating the effective conductivities of isotropic particulate composites

“…The key point of the approach was to precisely account for the interactions between all the fibers in the cluster that represents the composite material in question. The same approach was adopted in [Pyatigorets and Mogilevskaya 2011] to evaluate the effective transverse mechanical properties of transversely isotropic viscoelastic composites and in [Koroteeva et al 2010] to solve the problem of evaluating the effective thermal conductivity of isotropic porous materials. It was demonstrated that the approach allows to adequately capture the influence of the micro-structure of composite material on its overall properties.…”

Evaluation of the effective elastic moduli of particulate composites based on Maxwell’s concept of equivalent inhomogeneity: microstructure-induced anisotropy

“…Recently, Weng [2010] and Levin et al [2012] have shown that the approach of [Kuster and Toksöz 1974] is a dynamical analog of the Maxwell scheme. In a series of recent papers Maxwell's concept was modified to evaluate the effective elastic properties of transversely isotropic composites [Mogilevskaya et al 2010a;2010b;2012;Mogilevskaya and Crouch 2013], the thermal properties of isotropic particulate composites [Koroteeva et al 2010;, and the viscoelastic properties of transversely isotropic composites [Pyatigorets and Mogilevskaya 2011]. The modified concept allowed for a precise account of both the interactions among the constituencies in the cluster and their geometrical arrangement.…”