Finding Orientations in the Hexagonal-Triclinic Fundamental Zone with Unique Elastic Stiffness Tensors

Nov 17, 2014 • Noah Paulson

Introduction

Hexagonal-Triclinic fundamental zone: $ 0 \leq \phi_1 \leq 2\pi, 0 \leq \Phi < \frac{\pi}{2}, 0 \leq \phi_2 \leq \frac{\pi}{3} $
$\phi_1, \Phi, \phi_2 \neq \phi_1, \Phi + \pi, \phi_2 $
$\phi_1, \Phi, \phi_2 \neq \phi_1, \pi - \Phi, \phi_2 $
$\phi_1, \Phi, \phi_2 \eq \phi_1, \Phi + 2\pi, \phi_2 $
$\phi_1, \Phi, \phi_2 \eq \phi_1, 2\pi - \Phi, \phi_2 $