摘要
为了分析立方准晶材料轴对称问题的应力和变形情况,首先从立方准晶材料的基本方程出发,获得声子场和相位子场的位移平衡方程,通过求解微分方程获得立方准晶材料平面轴对称位移的通解,再利用本构关系,获得立方准晶材料内的应力分布,最后利用通解和界面连续的边界条件,获得准晶材料圆筒置入无限大弹性体内的位移和应力状态,从而获得准晶材料对结构的影响:相同弹性常数情况下,准晶材料的刚度有所降低,抵抗变形能力变弱。
In order to analyze the stress and deformation of the axisymmetric problem of cubic quasicrystal materials,the displacement balance equation of the phonon field and phason field from the basic equation of cubic quasicrystal materials is obtained at first.Then,the general solution of the axisymmetric plane displacement of cubic quasicrystal materials is obtained by solving the differential equation,and the stress distribution in cubic quasicrystal materials is obtained by using the constitutive relationship.Finally,by using the general solution and the boundary condition of the continuous interface,the displacement field and stress state of quasicrystal cylinder embedded in an infinite elastic body are obtained,and the influence of quasicrystal material on the structure is analyzed.Under the same elastic constant,the stiffness of cubic quasicrystal materials decreases and their resistance to deformation weakens.
作者
姜腾霄
李公庆
赵宝生
JIANG Tengxiao;LI Gongqing;ZHAO Baosheng(School of Mechanical Engineering and Automation,University of Science and Technology Liaoning,Anshan 114051,China)
出处
《辽宁科技大学学报》
CAS
2023年第2期140-146,共7页
Journal of University of Science and Technology Liaoning
基金
辽宁省自然科学基金(2019-ZD-0275)
辽宁科技大学大学生创新创业训练计划。
关键词
立方准晶材料
位移通解
轴对称
弹性理论
cubic quasicrystal materials
displacement general solution
axisymmetry
elastic theory
