A Unified Treatment of Axisymmetric Adhesive Contact on a Power-Law Graded Elastic Half-Space
A Unified Treatment of Axisymmetric Adhesive Contact on a Power-Law Graded Elastic Half-Space
复制标题
DOI：
10.1115/1.4023980
复制
发表时间：
2013-11-01
影响因子：
2.6
通讯作者：
Zhang, Wei
中科院分区：
文献类型：
--
作者：
Jin, Fan;Guo, Xu;Zhang, Wei
本文利用Betti互易定理和广义Abel变换，对刚性凸模与幂律梯度弹性半空间的轴对称无摩擦粘接接触进行了解析研究，得到了圆接触区域内任意凸模型的赫兹接触和JKR型粘接接触问题的一般闭型解。这些解决方案提供了表面应力、变形场以及施加载荷、压痕深度和接触半径之间的平衡关系的解析表达式。基于这些结果，我们随后研究了材料不均匀性和冲床表面形貌对所考虑的接触系统的粘附行为的综合影响。本文得到的解析结果包括均质各向同性材料和吉布森土作为特例的对应解，因此也可以作为检验数值解方法有效性的基准。
In the present paper, axisymmetric frictionless adhesive contact between a rigid punch and a power-law graded elastic half-space is analytically investigated with use of Betti's reciprocity theorem and the generalized Abel transformation, a set of general closed-form solutions are derived to the Hertzian contact and Johnson-Kendall-Roberts (JKR)-type adhesive contact problems for an arbitrary punch profile within a circular contact region. These solutions provide analytical expressions of the surface stress, deformation fields, and equilibrium relations among the applied load, indentation depth, and contact radius. Based on these results, we then examine the combined effects of material inhomogeneities and punch surface morphologies on the adhesion behaviors of the considered contact system. The analytical results obtained in this paper include the corresponding solutions for homogeneous isotropic materials and the Gibson soil as special cases and, therefore, can also serve as the benchmarks for checking the validity of the numerical solution methods.