Glide deformation in a simple Fibonacci quasi-periodic lattice, consisting of L and S lattice spacings, was simulated. The Γ-surface of the model fluctuated quasi-periodically, and the minima which corresponded to the Fibonacci numbers decreased in inverse proportion to the displacement. The Burgers vectors of dislocations which corresponded to neighboring distances of the Γ-surface minima were almost equal to the lattice spacings. The stress which was required for dislocation glide consisted of 2 components. These were the phason-defect formation stress and the Peierls stress. The glide of a group of dislocations of a Fibonacci number which was associated with one of the bounding phason faults sharply reduced the former stress component. The remaining glide resistance, which was due mainly to the Peierls potential, was equal to about 1.5% of the shear modulus.

Dislocation and Shear Strength of Model Quasiperiodic Lattice. R.Tamura, S.Takeuchi, K.Edagawa: Materials Science and Engineering A, 2001, 309-310, 552–6