一维六方准晶弹性层合悬臂梁的解析解

THE ANALYTIC SOLUTION OF THE LAMINATED ONE-DIMENSIONAL HEXAGONAL QUASICRYSTALLINE CANTILEVER BEAM

论文利用一维六方准晶的平面本构关系,以及简化为平面问题的物理方程,在悬臂梁的弹性应力解的基础上,假设准晶层和弹性层的应力分布,求出了各自的位移表达式,再利用层间连续条件和放松的边界条件,推导出一维六方准晶层合悬臂梁仅在自由端受集中力作用下声子场和相位子场的位移解析解,为研究准晶涂层材料的力学性质提供参考.

Abstract On the basis of constitutive equations and the simplified physical equations of one-dimensional hexagonal quasicrystalline materials, the stresses of quasicrystalline layer and elastic layer were as sumed, respectively. Then the displacements of these two layers were derived. Utilizing the interface continuum conditions and the loosened boundaries,an analytic solution was derived for the laminated quasicrystalline cantilever beam with concentrated force at free end,which is helpful for the further research in the mechanical property of quasicrystalline coating.