偶应力弹性半空间轴对称完全粘着接触  

Axisymmetric full adhesive contact of couple-stress elastic half-space

作　　者：李淼 刘铁军[1] LI Miao;LIU Tiejun(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《内蒙古工业大学学报(自然科学版)》2025年第2期167-175,共9页Journal of Inner Mongolia University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(12062019)。

摘　　要：随着高新技术产业的发展,材料和结构在微纳尺度下的力学性能受到研究者的广泛关注。当构件的接触尺寸由宏观缩小到微观时,研究尺度效应对接触力学行为的影响将变得非常重要。通过理论分析的方法,研究了偶应力弹性半空间在球形压头作用下的完全粘着接触问题。通过引入材料特征长度参数来描述尺度效应,借助Hankel积分变换将力学模型转化为奇异积分方程,并利用数值方法对其进行求解。结果表明,材料特征长度参数对完全粘着接触时的应力分布、压力-压痕曲线有显著影响。可通过改变材料的材料特征长度参数来调节材料的力学性能,为材料的优化设计和抑制接触损伤提供可靠的理论依据。With the development of high-tech industry,the mechanical properties of materials and structures at micro-nano scale have been widely concerned.When the contact size of the component is reduced from macroscopic to microscopic,the study of the size effect on the contact mechanical behavior becomes crutia.This paper investigates the full adhesive contact of couple-stress elastic half-space under spherical indenter by means of theoretical analysis.The material characteristic length parameter was introduced to describe the size effect.The adhesive contact model was transformed into a singular integral equation which was solved by numerical method by using the Hankel integral transformation.The results show that the material characteristic length parameters have significant effects on the stress distribution and pressure-indentation curve of full adhesive contact.The mechanical properties of the material can be adjusted by changing the material characteristic length parameter,which provides a reliable theoretical basis for the optimal design of the material and the suppression of contact damage.

关 键 词：偶应力弹性体 完全粘着 尺度效应 Hankel积分变换 奇异积分方程 

分 类 号：O343.3[理学—固体力学]