当前位置: X-MOL 学术Mech. Res. Commun. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Two kinds of contact problems for two-dimensional hexagonal quasicrystals
Mechanics Research Communications ( IF 2.4 ) Pub Date : 2021-02-27 , DOI: 10.1016/j.mechrescom.2021.103683
Zhi-Guo Zhang , Sheng-Hu Ding , Xing Li

By means of the displacement potential function method, the plane elastic control equation of two-dimensional hexagonal quasicrystals is reduced to a quadruple harmonic equation. The stress and displacement components of the plane elasticity are obtained by complex functions. The frictional contact problem and half-plane adhesive contact problem for a rigid flat indenter on two-dimensional hexagonal quasicrystals materials half-space are investigated. Analytical expressions of the stress components are obtained. The results show that the contact stresses exhibit 1/2 order singularity at the edge of the contact zone and 1/2 order singularity at the bottom of the indenter with k = 0. The stress of the phonon field is independent of the material constants for the frictional contact problem. For the half-plane adhesive contact problem, the stress distribution at the bottom of the contact zone has 1/2order singularity, the normal stresses are zero, and only shear stresses exist. Finally, a solution for the relation between load and penetration for the frictional and adhesive contact problems for the flat indenter is derived. Numerical calculations are presented, and the validity of the solution is verified.



中文翻译:

二维六方准晶体的两种接触问题

通过位移势函数法,将二维六角形准晶体的平面弹性控制方程简化为四重谐波方程。平面弹性的应力和位移分量是通过复杂函数获得的。研究了二维六角形准晶体材料半空间上刚性平面压头的摩擦接触问题和半平面粘合剂接触问题。获得了应力分量的解析表达式。结果表明,接触应力表现出1个/2个 接触区边缘的阶奇异性和 1个/2个k  = 0时,压头底部的奇异阶。声子场的应力与摩擦接触问题的材料常数无关。对于半平面粘合剂接触问题,接触区底部的应力分布为1个/2个阶奇异性,法向应力为零,仅存在剪应力。最后,针对平压头的摩擦和粘合剂接触问题,得出了载荷与穿透之间关系的解决方案。给出了数值计算,并验证了该方法的有效性。

更新日期:2021-03-04
down
wechat
bug