An algorithm for generation of RVEs of composites with high particle volume fractions

Abstract

This work proposes a new algorithm entitled “sequential absorption algorithm” to generate Representative Volume Elements (RVEs) of randomly distributed spherical particles reinforced composites by combining the Random Sequential Absorption (RSA) algorithm and the molecular dynamics based method. The proposed algorithm overcomes limitations of the RSA algorithm and is capable of efficiently generating the RVEs with the high Particle Volume Fractions (PVFs) (≥50.0%). The proposed algorithm comprises of the modified RSA algorithm, the detection algorithms of the collisions between particles and between a particle and matrix surface(s), the post-collision particle velocity update algorithm, the particle periodic image generation algorithm and the acceleration algorithm. Particle distribution in the generated RVEs is analyzed through several statistical functions and consistent with the completely spatial random pattern. Regarding the elastic properties of composites, the critical sizes of RVEs and meshed elements are determined. The agreement of the elastic properties of composites with the different PVFs acquired using the finite element homogenization method, the experimental tests and the analytical models exhibits the validation of the proposed algorithm to generate RVEs of composites.