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

Nakka, Rajesh and Harursampath, Dineshkumar and Pathan, Mehtab and Ponnusami, Sathiskumar A (2022) A computationally efficient approach for generating RVEs of various inclusion/fibre shapes. In: Composite Structures, 291 . ISSN 02638223

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Official URL: https://doi.org/10.1016/j.compstruct.2022.115560


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

Item Type: Journal Article
Publication: Composite Structures
Publisher: Elsevier Ltd
Additional Information: The copyright of this article belongs to the Authors.
Keywords: Collision detection; Fibre composites; Micromechanics; Microstructure; Particulate composites
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 24 May 2022 10:18
Last Modified: 24 May 2022 10:18
URI: https://eprints.iisc.ac.in/id/eprint/72332

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