CAJ | 학술논문

准晶作为一种新的固态物质结构给传统的凝聚态物理学带来了深刻的变革，其弹性基本方程比传统晶体的弹性基本方程要复杂得多.通过引入位移函数和应用Fourier分析与对偶积分方程理论圆满解决了在一个平底冲头作用下十次二维准晶材料的接触问题，得到了此材料接触问题应力与位移的解析表达式.结果表明，如果接触位移在接触区域内为一常数，则垂直接触应力在接触边缘具有-1/2阶奇异性，这为准晶材料的接触变形提供了重要的力学量.
준정작위일충신적고태물질결구급전통적응취태물이학대래료심각적변혁，기탄성기본방정비전통정체적탄성기본방정요복잡득다.통과인입위이함수화응용Fourier분석여대우적분방정이론원만해결료재일개평저충두작용하십차이유준정재료적접촉문제，득도료차재료접촉문제응력여위이적해석표체식.결과표명，여과접촉위이재접촉구역내위일상수，칙수직접촉응력재접촉변연구유-1/2계기이성，저위준정재료적접촉변형제공료중요적역학량.
As a new structure of solid matter quasicrystal brings profoundnew ideas to the traditional condensed matter physics, its elastic equations are more complicated than that of traditional crystal. A contact problem of decagonal two -dimensional quasicrystal material under the action of a rigid flat die is solved satisfactorily by introducing displacement function and using Fourier analysis and dual integral equations theory, and the analytical expressions of stress and displacement fields of the contact problem are achieved. The results show that if the contact displacement is a constant in the contact zone, the vertical contact stress has order -1/2 singularity on the edge of contact zone, which provides the important mechanics parameter for contact deformation of the quasicrystal.