Abstract Frictionless contact problem of dodecagonal system in two-dimensional quasicrystals is researched by using integral transform method. By introducing displacement functions, the complicated partial differential equations of the plane elastic problems of dodecagonal system in two-dimensional quasicrystals are turned into two independent biharmonic equations. A contact problem with action of a rigid flat die in the dodecagonal system in two-dimensional quasicrystalline material was solved by using Fourier analysis and dual integral equations theory. The results show that if the contact displacement is a constant in the contact zone, the vertical contact stress has -1/2order singularity in the edge of the contact zone, which provide the important mechanics parameter for contact deformation of quasicrystalline material.
Received: 20 April 2015
Published: 24 February 2016
2016, Vol. 37 
