Decagonal quasicrystal plate with elliptic holes subjected to out-of-plane bending moments

• The bending theory of decagonal quasicrystal plate is developed.
• The analytical solutions are obtained by Stroh-like formalism.
• The maximum value of the phason moment increases when the ratio b/ab/a increases.

In the present paper, we consider only the ideal elastic behavior, neglecting the dissipation associated with the atomic rearrangements. Under these conditions, the decagonal quasicrystal plate bending problems have been discussed. The Stroh-like formalism for the bending theory of decagonal quasicrystal plate is developed. The analytical solutions for problems of decagonal quasicrystal plate with elliptic hole subjected to out-of-plane bending moments are obtained directly by using the forms. The resultant bending moments around the hole boundaries are also given explicitly. When the phonon–phason coupling is absent, the results reduce to the corresponding solutions for the isotropic elastic plates.