轴对称一维六方准晶圆柱的精化理论  

REFINED THEORY OF AXISYMMETRIC CIRCULAR CYLINDER IN ONE-DIMENSIONAL HEXAGONAL QUASICRYSTALS

作　　者：卢贵贤 赵宝生[1] 

机构地区：[1]辽宁科技大学机械工程与自动化学院,鞍山114051

出　　处：《固体力学学报》2013年第6期598-601,共4页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11172319)资助

摘　　要：将轴对称圆柱的精化分析推广到一维六方准晶中轴对称圆柱的研究当中.利用准调和函数的Bessel算子函数表示以及一维六方准晶中的通解,在不做任何预先假设的情况下,给出了一维六方准晶中轴对称圆柱的精化理论.首先,根据准调和函数的Bessel算子函数表示,利用三个一维待定函数,表示出声子场和相位子场的位移场和应力分量.再根据非齐次边界条件,推导出柱面受径向外载时的精化方程.通过舍弃高阶项,推导出了在径向方向受到柱面载荷的近似解.The refined theory of axisymmetric cylinder was extended to solve the axisymmetric cylin-der problem in one-dimensional （1D） hexagonal quasicrystals （QCs）. Using Bessel＇s function and the gen-eral solution of 1D hexagonal QCs,the refined theory of axisymmetric cylinder for QCs was derived without special assumptions being introduced. First,according to the Bessel^s function, the expressions of all the phonon and phase displacements and stress components were obtained by the three unknown 1D functions with single independent variable. Then, based on the nonhomogeneous boundary conditions, the refined e-quation for the cylinder was derived directly. Finally, an approximate solution of a circular cylinder under radial direction surface loading is obtained by dropping high order terms.

关 键 词：轴对称变形 精化理论 BESSEL函数 一维六方准晶 

分 类 号：O76[理学—晶体学]