Estimation of the effective thermoelastic moduli of fibrous nanocomposites with cylindrically anisotropic phases

Abstract

Recent developments in nanotechnology make it possible to fabricate nanofibers and identify their mechanical fibers. In particular, nanofibers are used as reinforcement in composites. The present work concerns unidirectional nanofibrous composites with cylindrically anisotropic phases and aims to analytically estimate their effective thermoelastic moduli. This objective is achieved by extending the classical generalized selfconsistent model to the setting of thermoelasticity, to the case of cylindrically anisotropic phases, and to the incorporation of interface stress effect. Analytical closed-form estimations are derived for all the effective thermoelastic moduli, showing that these moduli depend on the fiber cross-section size. Numerical examples are provided to illustrate this size-dependent effect.

An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites

“…For a constant volume fraction, we vary the void radius and compute for each size the effective bulk modulus. Estimated effective properties for long cylindrical nanofibers with coherent interfaces have been provided in [15]. We then compare the results obtained by the present Fig.…”

“…We compute the effective properties of the RVE using the aforementioned approach for volume fractions ranging from 0 (no interface) to 0.6. The results comparing the present XFEM approach and the reference solution computed from [15] are provided in Fig. 8.…”

“…In [9,10,13,14], Sharma and Ganti extended Eshelby's original formalism to nano-inclusions and obtained the closed-form expressions of Eshelby's tensor for spherical and circular cylindrical nano-inclusions. Le Quang and He proposed an extended version of the classical generalized self-consistent method to determine the size-dependent effective thermoelastic properties of nanocomposites with cylindrical and spherically anisotropic phases [15,16]. In [12], Duan et al derived closed-form expressions for the bulk and shear moduli as functions of the interface properties, and analyzed the dependence of the elastic moduli on the size of the inhomogeneities.…”

Effect of residual interface stress on thermo-elastic properties of unidirectional fiber-reinforced nanocomposites

“…Generally, effects of the membrane-type interface stress stem from two sources: the residual interface stress and the interface elasticity. By using the membrane-type interface model, a number of researchers (e.g., Chen et al [24], Le Quang and He [31], Chen and Dvorak [32], Duan and Karihaloo [33]) studied the effect of interface stress on the overall properties of fibrous nanocomposites. However, these papers only considered the surface elasticity, and ignored the residual stress fields induced by the residual surface/interface stress (or the surface/interface tension).…”

Micromechanics-based thermal expansion characterization of SiC nanoparticle-reinforced metal matrix nanocomposites

“…The quality of experimental results is dependent on the ability in the fabrication of homogeneous nanocomposites with uniform dispersion of nanoparticles into the metal matrix. For these reasons, simulation methods including, micromechanical analytical 28–34 and finite element 4,35–39 approaches have been proposed to predict the mechanical and thermal behaviors of nanocomposite materials. In the field of micromechanics-based analytical approaches, method of cell (MOC), 40,41 generalized method of cell (GMG), 30,42,43 and simplified unit cell (SUC) 44,45 have been successfully employed to estimate the overall behavior of the nanocomposite materials.…”