Abstract: Graphene nanoplatelets (GNPs) are regarded as an important carbon-nanoparticle, which can effectively improve the comprehensive performance of epoxy resin due to their extraordinary mechanical, thermal, and electrical properties. However, the spatial random distribution configuration of GNPs is so complicated that it is difficult to establish the finite element model for predicting the mechanical properties. Regarding to the challenge of numerical modeling with high computational costs, this paper first proposed a novel two-dimensional periodical unit-cell model characterizing the random distribution configuration of GNPs. Then the finite element model for predicting the effective elastic properties was established. The periodical displacement boundary conditions were applied in the finite element model to ensure the continuity of stress and displacement of the unit cell. The transversely isotropic elastic properties of GNPs were considered in the model by transforming the constitutive relations. Based on the presented model, the effects of GNPs volume fraction, unit cell size and quantity of random unit cells on the elastic properties were discussed in detail. Research indicates that the effectiveness of the presented 2D finite element model with randomly distributed GNPs is va-lidated, which possesses high prediction accuracy and computational efficiency.
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2025, Vol. 39 
