Analytical Solution for an Elastic Sphere Indenting a Layered Half-Space

作     者：Yiquan Li Xiaozhou Li Jinkai Xu Huadong Yu 

作者机构：School of Mechatronical EngineeringChangchun University of Science and Technology 

出 版 物：《Journal of Harbin Institute of Technology(New Series)》 (哈尔滨工业大学学报（英文版）)

年 卷 期：2017年第24卷第4期

页      面：83-89页

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

主　　题：fundamental solution image method coated half space spherical indentation contact radius 

摘      要：The contact problem for the elastic sphere indenting a layered half-space is considered. Analytical methods for solving this problem have been developed on the basis of the 3-D fundamental solution of a half space with a single coating layer under a normal concentrated force on the surface. The normal pressure distribution within the contact zone is assumed as Hertzian type. The solutions are constructed using superposition principle in the form of infinite series. Through comparing with the numerical results of FEM,it can be verified that the exact solutions have a rapid convergence rate and the stresses and displacements are mainly determined by the first term,which is corresponding to the solution of homogeneous half-space under Hertzian loading. The contact radius can be predicted applying the method.