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Partial slip contact problem between a transversely isotropic half-space of multi-ferroic composite medium and a spherical indenter
Mechanics of Materials ( IF 3.9 ) Pub Date : 2021-08-12 , DOI: 10.1016/j.mechmat.2021.104018
F. Wu 1 , C. Li 1
Affiliation  

This article concerns partial slip contact problem of a composite medium half-space punched by a spherical indenter. The indenter is subjected to the normal indentation force, electric and magnetic loads, and then exerted by a progressively increasing tangential load. The tangential load, which is not sufficient to cause complete sliding, results in the contact region split into the slip region and the stick region. Coulomb friction law is adopted in the slip region and four possible physical cases are considered in view of the magneto-electric properties of indenter. Three-dimensional (3D) magneto-electro-elastic coupling fields associated with four cases are obtained in terms of the elementary functions by use of the potential theory and ignoring effect of the tangential load on the generalized normal stresses in the contact region. The contact radius and the stick radius are determined by the equilibrium equations. The stress intensity factors are introduced to characterize the stress singularity. The obtained solutions are verified by comparing with results related to the frictionless contact problem and the fundamental solutions. Influence of the frictional coefficient and the magneto-electric properties of indenter on the physical quantities are analyzed. It is worth noting that the frictional coefficients have obvious effect on the von Mises stress and the maximum shear stress. The suitable electric and magnetic loads may eliminate the stress concentration. These results not only are the theoretical fundamental to the forthcoming indentation experiments and the fretting contact, but also serve as guiding design of the smart devices.



中文翻译:

多铁性复合介质横向各向同性半空间与球形压头的部分滑动接触问题

本文涉及球形压头冲压的复合材料半空间的部分滑动接触问题。压头承受法向压痕力、电磁载荷,然后逐渐增加切向载荷。切向载荷不足以引起完全滑动,导致接触区域分裂为滑动区域和粘滞区域。滑移区采用库仑摩擦定律,考虑到压头的磁电特性,考虑了四种可能的物理情况。通过使用势理论并忽略切向载荷对接触区域中广义法向应力的影响,根据基本函数获得了与四种情况相关的三维(3D)磁电弹性耦合场。接触半径和棒半径由平衡方程确定。引入应力强度因子来表征应力奇异性。通过与有关无摩擦接触问题和基本解的结果进行比较来验证所获得的解。分析了压头的摩擦系数和磁电特性对物理量的影响。值得注意的是,摩擦系数对von Mises应力和最大剪应力有明显的影响。合适的电磁负载可以消除应力集中。这些结果不仅是即将进行的压痕实验和微动接触的理论基础,而且可以指导智能设备的设计。

更新日期:2021-08-19
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