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Size-dependent effective thermoelastic properties of nanocomposites with spherically anisotropic phases. (English) Zbl 1173.74035
Summary: Composites made of semi-crystalline polymers and nanoparticles have a spherulitic microstructure which can be reasonably represented by a spherically anisotropic volume element. Due to the high surface-to-volume ratio of a nanoparticle, the particle-matrix interface stress, usually neglected in determining the effective elastic moduli of particle-reinforced composites, may have a non-negligible effect. To account for the latter in estimating the effective thermoelastic properties of a composite consisting of nanoparticles embedded in a semi-crystalline polymeric matrix, this work adopts a coherent interface model for the nanoparticle-matrix interface and proposes an extended version of the classical generalized self-consistent method. In particular, Eshelby’s formulae widely used to calculate the elastic energy change of a homogeneous medium due to the introduction of inhomogeneity are extended to the thermoelastic case. The nanoparticle size effect on the effective thermoelastic moduli of the composite is theoretically shown and numerically illustrated.

MSC:
74Q15 Effective constitutive equations in solid mechanics
74E30 Composite and mixture properties
74M25 Micromechanics of solids
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