4.0 Article

Out-of-Plane Tension of Thin Two-Layered Plates of Identically Oriented Hexagonal Crystals

Journal

PHYSICAL MESOMECHANICS
Volume 24, Issue 2, Pages 146-154

Publisher

SPRINGER
DOI: 10.1134/S1029959921020041

Keywords

hexagonal crystals; auxetics; two-layered plates; Young's modulus; Poisson's ratio

Funding

  1. Russian Science Foundation [18-19-00736]
  2. Russian Science Foundation [18-19-00736] Funding Source: Russian Science Foundation

Ask authors/readers for more resources

In the study of the out-of-plane extension of thin two-layered plates of hexagonal crystals within the framework of anisotropic elasticity theory, effective formulas for Young's modulus and Poisson's ratio were obtained, revealing violations of the rule of mixtures. Experimental results showed that effective Young's modulus and effective Poisson's ratio may exceed the original crystal values.
In the framework of the theory of anisotropic elasticity, a theoretical analysis of the out-of-plane extension of thin two-layered plates of hexagonal crystals is carried out. The six-fold axes of all pairs of crystals are assumed to be perpendicular to the plane of the plates. Formulae for effective Young's modulus and effective Poisson's ratio are obtained. It is shown that in most cases effective Young's moduli exceed Reuss's average, and thus the rule of mixtures is violated. Equality of these characteristics is possible if the ratios of Young's moduli and the ratios of Poisson's ratios of crystal pairs are the same. Effective Poisson's ratio may be greater or less than the corresponding Reuss's average. In addition, it was found that effective Young's modulus can surpass Young's moduli of both crystals forming a two-layered plate. Effective Poisson's ratio can be both larger and smaller than Poisson's ratios of the initial pair of crystals. The general theoretical conclusions are illustrated by numerical estimates using the experimental values of the elastic constants of the known hexagonal crystals.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.0
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available