摘要
研究法向载荷和切向载荷耦合作用下的三维弹性点接触问题。当切向载荷不足使接触体发生整体滑动时,接触面产生微滑区域。对于异质物体的接触,即使仅有法向载荷作用,由于变形的不协调,接触面同样会产生微滑区域。运用半解析的方法求解微滑接触问题,影响系数通过Green函数得到解析解,压力和切应力的求解基于共轭梯度法和快速傅里叶变换法。算法仅在关心的接触区域划分网格,缩短计算时间。通过对比光滑同质物体接触的数值解和解析解来验证算法。分析正弦异质表面接触的压力分布、切应力分布、粘着区域。结果显示,由于粗糙峰的存在,粘着区域为多个不连通的区域。随着切向力的增加,压力分布沿着切向力相反的方向倾斜,切应力τx逐步变为正值,粘着区域沿着切向力相反的方向移动并逐渐变小。
An elastic contact model for three-dimensional similar and dissimilar materials under coupled normal load and tangential load in the contact plane,with consideration of partial slip effects,is studied. When two surfaces in static contacts are subjected to normal load and tangential load,even only applying a normal load for dissimilar materials,microscopic slip will take place at certain areas of the contact region even though the contacting bodies remain still without macroscopic movement. The semi-analytical method is used to solve the partial contact problems,in which analytical solutions of displacements due to unit pressure or shear tractions are based on green function. The contact pressure and shear tractions are solved by a numerical procedure based on conjugate gradient method and fast Fourier transform technique. The meshes are applied to the positions just in the contact areas of interest,which saves the computing time. The good agreement with the results from Cattaneo-Mindlin＇s solution validates the numerical method. The analysis is extended to the sinusoidal wave contact to provide a further demonstration for the pressure distributions,shear stress distributions and stick regions. The results show that the stick regions are located at several disconnected areas due to the roughness effects. With the increase of tangential force,the pressure distribution inclines along the opposite direction of tangential force,the value of shear stress τx becomes positive and the stick zones shrink and move opposite to the direction of tangential force.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2010年第17期79-85,共7页
Journal of Mechanical Engineering
基金
国家重点基础研究发展计划(973计划
2006CB705403)
国家自然科学基金(50675111
50721004)资助项目
关键词
微滑
半解析法
共轭梯度法
快速傅里叶变换
粗糙表面
Partial slip Semi-analytical method Conjugate gradient method Fast Fourier transform Rough surfaces
