A computationally efficient approach for generating RVEs of various inclusion/fibre shapes

A computationally efficient method for generating virtual periodic representative volume element (RVE), capable of handling arbitrary inclusion shapes, is developed. universal collision/overlap detection and repair proposed, where each shape represented as a union n-Spheres (UnS). constrained optimization problem formulated solved to remove overlaps; closed-form solution derived calculating the degree inclusions overlap its gradient vector with respect position. RVE generation illustrated circular, spherical, four non-circular non-spherical shapes. Computational efficiency demonstrated using an elaborate time study. The generated RVEs are evaluated various statistical metrics; results confirm random distribution inclusions. Effective properties RVEs, representing unidirectional composites, determined homogenization fibre cross-section shapes; obtained mechanical have shown transverse isotropy.