Two kinds of contact problems in three- dimensional icosahedral quasicrystals
Two kinds of contact problems in three- dimensional icosahedral quasicrystals
复制标题
三维二十面体准晶中的两种接触问题
DOI：
10.1007/s10483-015-2006-6
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Xing Li
中科院分区：
文献类型：
--
作者：
Xuefen ZHAO;Xing Li
两种接触问题，即，用复变函数方法讨论了三维二十面体准晶中的摩擦接触问题和粘着接触问题。对于摩擦接触问题，接触应力在接触区边缘处呈现幂奇异性。对于粘着接触问题，接触应力在接触区的边缘处表现出振荡奇异性。数值算例表明，两类接触问题的接触应力均表现出奇异性，且在接触区边缘处达到最大值。声子-相子耦合常数对接触应力强度影响显著，而对接触应力分布规律影响不大。当声子-相子耦合常数为0时，所得结果与经典弹性材料的结果一致。对于粘着接触问题，压痕力与接触位移呈正相关，而声子-相位子耦合常数的影响几乎不可察觉。验证了结论的有效性。
Two kinds of contact problems, i.e., the frictional contact problem and the adhesive contact problem, in three-dimensional (3D) icosahedral quasicrystals are discussed by a complex variable function method. For the frictional contact problem, the contact stress exhibits power singularities at the edge of the contact zone. For the adhesive contact problem, the contact stress exhibits oscillatory singularities at the edge of the contact zone. The numerical examples show that for the two kinds of contact problems, the contact stress exhibits singularities, and reaches the maximum value at the edge of the contact zone. The phonon-phason coupling constant has a significant effect on the contact stress intensity, while has little impact on the contact stress distribution regulation. The results are consistent with those of the classical elastic materials when the phonon-phason coupling constant is 0. For the adhesive contact problem, the indentation force has positive correlation with the contact displacement, but the phonon-phason coupling constant impact is barely perceptible. The validity of the conclusions is verified.