赫兹压力下涂层构件的边界元法分析  

Analysis of the coated structures under Hertzian type pressure by the boundary element method

作　　者：程长征[1] 牛忠荣[1] 王远坤[1] 葛大丽[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第2期196-201,共6页Journal of Hefei University of Technology：Natural Science

基　　金：教育部博士学科点基金资助项目(20050359009);安徽省自然科学基金资助项目(050440503);合肥工业大学科学研究发展基金资助项目(080802F)

摘　　要：建立了涂层构件边界元法,并引入解析化算法处理其中的几乎奇异积分,以分析赫兹压力作用下涂层构件的力学行为;提出以最大切应力作为涂层结构强度的评判标准;分别讨论了涂层尺寸和涂层/基体材料的变化对最大切应力的影响,找出了受赫兹压力作用涂层构件的强度危险面。The nearly singular integrals in the boundary element analysis of coated structures are transformed into the analytic expressions by means of integration by parts. The mechanical behaviors of the coated structures under Hertzian type pressure are studied by the analytic boundary element method. The maximum shear stress is used to act as the criterion of the bonded strength. The effects of changing material and geometric parameters on the maximum shear stress are analyzed. The numerical results reveal the following conclusions for coated structures under Hertzian type pressure： as the coating is very thin, there are two dangerous sections for the structural strength, one is in the sub-surface of the coating and the other is at the interface when the coating is more compliant than the substrate; however, the interface is the only dangerous section as the coating is more rigid than the substrate; and when the thickness of the coating becomes larger, there is only one dangerous section which exists in the sub-surface of the coating.

关 键 词：涂层构件 赫兹压力 最大切应力 几乎奇异积分 边界元法 

分 类 号：O343[理学—固体力学]