The effectiveness of representative volume element in the finite element solutions of auxetic structures


Yazıcı M. E., KANBER B.

Mechanics of Advanced Materials and Structures, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1080/15376494.2025.2609918
  • Dergi Adı: Mechanics of Advanced Materials and Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, DIALNET
  • Anahtar Kelimeler: Auxetic sandwich beam, energy absorption, finite element method, representative volume element, three-point bending test
  • Samsun Üniversitesi Adresli: Evet

Özet

The main challenge in evaluating the mechanical properties of auxetic structures using finite element analysis (FEA) is the high computational requirements and lengthy solution times associated with solid elements. The present study employs the representative volume element (RVE) method to analyze the behavior of sandwich beams with varying numbers of auxetic cores. Auxetic beams with a sandwich structure were fabricated using a fused deposition modeling (FDM) 3D printing process. These beams were then tested for bending resistance. FEAs were performed using both solid elements and the RVE-based homogenization method. The differences among the RVE-based FEA predictions and the closest experimental were resulted from the re-entrant, anti-chiral, and star-shaped specimens were 5.55%, 12.46%, and 8.68%, respectively. Using the RVE method, computational time was reduced by over 98% compared to solid element models, resulting in significant time savings for the auxetic structures. Furthermore, a parametric study investigated the effects of cell angle, cell number, and cell and face sheet thickness on the structure’s load-bearing capacity. Specimens with re-entrant, star-shaped, and anti-chiral core geometries had the highest negative Poisson ratios. Anti-chiral structures demonstrated superior specific energy absorption, performing approximately 15.9% and 21.3% better than star-shaped and re-entrant structures, respectively.