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

Nakka, R., Harursampath, D., Pathan, M. V. & Ponnusami, S. A. ORCID: 0000-0002-2143-8971 (2022). A computationally efficient approach for generating RVEs of various inclusion/fiber shapes. Composite Structures, 291, 115560. doi: 10.1016/j.compstruct.2022.115560

Abstract

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.

Publication Type: Article
Additional Information: © 2022 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
Publisher Keywords: Fibre composites, Particulate composites, Microstructure, Micromechanics, Collision detection
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Departments: School of Science & Technology > Engineering > Mechanical Engineering & Aeronautics
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