Stress and mixed boundary conditions for two-dimensional dodecagonal quasi-crystal plates |
| |
Authors: | Yang Gao Si-Peng Xu Bao-Sheng Zhao |
| |
Institution: | (1) College of Science, China Agricultural University, P.O. Box 74, Beijing, 100083, People’s Republic of China;(2) College of Engineering, Ocean University of China, Qingdao, 266071, People’s Republic of China;(3) School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan, 114044, People’s Republic of China |
| |
Abstract: | For plate bending and stretching problems in two-dimensional (2D) dodecagonal quasi-crystal (QC) media, the reciprocal theorem
and the general solution for QCs are applied in a novel way to obtain the appropriate stress and mixed boundary conditions
accurate to all order. The method developed by Gregory and Wan is used to generate necessary conditions which the prescribed
data on the edge of the plate must satisfy in order that it should generate a decaying state within the plate; these decaying
state conditions are obtained explicitly for axisymmetric bending and stretching of a circular plate when stress or mixed
conditions are imposed on the plate edge. They are then used for the correct formulation of boundary conditions for the interior
solution. For the stress data, our boundary conditions coincide with those obtained in conventional forms of plate theories.
More importantly, appropriate boundary conditions with a set of mixed edge-data are obtained for the first time. Furthermore,
the corresponding necessary conditions for transversely isotropic elastic plate are obtained directly, and their isotropic
elastic counterparts are also obtained.
|
| |
Keywords: | Boundary conditions plates axisymmetric deformation two-dimensional dodecagonal quasi-crystals decaying states |
本文献已被 SpringerLink 等数据库收录! |
|