A novel algorithm was developed for generating representative volume elements (RVEs) of randomly distributed continuous fiber reinforced composites (CFRCs) with high fiber volume fraction, based on a modified optimization approach of two-dimensional packing problems. This study presents, for the first time, a novel application of two-dimensional packing algorithms to composite RVE modeling, enabling the generation of RVEs with high fiber volume fractions (FVFs). To simultaneously satisfy inter-fiber distance constraints and ensure randomness in fiber distribution, a parameter representing the inter-fiber distance was incorporated into the constraint equations of the optimization model and was specified to follow a uniform random distribution. Fiber diameters can be defined as either constant values or assigned based on statistical distribution functions. The algorithm successfully achieved fiber volume fractions of up to 80 % while maintaining sufficient inter-fiber distances to enable finite element meshing of the RVEs. Moreover, the proposed method exhibited comparatively high computational efficiency over several existing RVE generation techniques for CFRCs. The spatial randomness of the fiber arrangement was confirmed by analyzing the generated RVEs with various statistical functions. Finally, the validity of the RVEs was verified by comparing finite element simulation results with experimental mechanical property data from T700/7901 epoxy composites, demonstrating the effectiveness of the proposed algorithm.
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