Estimates for the elastic moduli of 2D aggregate of hexagonal-shape orthorhombic crystals with in-plane random crystalline orientations

Vuong Thi My Hanh, Le Hoai Chau, Vu Lam Dong, Pham Duc Chinh
Author affiliations

Authors

  • Vuong Thi My Hanh Institute of Mechanics, VAST, Hanoi, Vietnam
  • Le Hoai Chau Institute of Mechanics and Environmental Engineering, Hanoi, Vietnam
  • Vu Lam Dong Institute of Mechanics, VAST, Hanoi, Vietnam
  • Pham Duc Chinh Institute of Mechanics, VAST, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/13183

Keywords:

effective elastic moduli, random cell polycrystal, 2D orthorhombic crystal

Abstract

Numerical finite element simulations on the homogenization problem for large samples of particular 2D hexagonal-shape-geometry random orientation aggregates from the base crystals of orthorhombic symmetry have been performed. At sufficiently large random-aggregate samples, the scatter intervals of the macroscopic 2D bulk and shear elastic moduli converge toward the Voigt-Reuss-Hill bounds, and then our recently constructed theoretical estimates, which have been specified for the aggregates.

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Published

25-06-2019

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Research Article