摘要
当圆柱与平面之间产生摩擦滑动接触时,考虑接触表面上切向应力对法向应力的影响,精确求解接触体内应力场的问题还没有得到解决。该文应用Bufler的解,推导了平面内应力场的计算公式,分析了平面内应力的分布,描述了平面内应力分布的特点。结论表明在接触表面上,存在最大拉应力和最大压应力,最大拉应力出现在拖动边的边缘。如果接触平面因拉应力或者压应力引起失效,首先可能会出现在接触表面;第一型裂纹的产生及扩展首先可能会发生在拖动边的边缘。主剪应力和Von Mises等效应力的最大值(当摩擦系数较小时)均会出现在接触平面内部,而且它们的最大值均存在于导向边。因此,接触平面的塑性滑移开始首先可能会发生在接触平面内部,然后才扩展到接触表面。同时,采用有限元方法模拟了圆柱与平面的摩擦滑动过程,把理论计算所获得的应力分布曲线与有限元模拟结果进行了比较,结果说明两种方法所获得的应力分布特点基本一致。这些结论为工程接触问题研究提供了依据。
When frictionally slipping contact occurs between a cylinder and a plane, the accurately analytic solutions of the stress field in the contacting body with the effect of the tangential stress on the normal stress have not been solved. This work derives the expressions of the stresses, and analyzes the stress distributions in the plane based on Bufler’s solutions. The conclusions indicate that there exists the maximum tensile stress and the maximum compressive stress in the contacting surface; and that the maximum tensile stress occurs at the edge of the dragging side. Therefore, if the failure of the contacting plane is induced by the tensile or the compressive stresses, it may firstly occur in the contacting surface; and the mode-Ⅰcrack generation and propagation may firstly take place at the edge of the dragging side. The maximums of both the principal shear stress and the Von Mises equivalent stress （when the frictional coefficient is small） occur inside the contacting body, and they all exist in the leading side. Therefore, the plastic inception may firstly take place inside the contacting body, and then extend to the contacting surface. Meanwhile, the frictionally slipping contact between the cylinder and the plane is simulated with the finite element method. The curves of the stress distributions obtained by the finiteelement method are compared with that by the proposed theoretic method. The results show that the characteristics of the stress distributions obtained by both methods are basically consistent. Those conclusions will provide the basis for the study of the engineering contact problems.
出处
《工程力学》
EI
CSCD
北大核心
2010年第8期40-47,共8页
Engineering Mechanics
基金
国家自然科学基金项目(50875224)
教育部新世纪人才培养计划项目(NCET06-0708)
湖南省教育厅一般项目(06C835)
关键词
摩擦滑动接触
等效应力
主应力
接触压力
剪切牵引力
frictionally slipping contact
equivalent stress
principal stress
contact pressure
shear traction
