四川轻化工大学学报（自然科学版）2026，Vol.39Issue(2)：1-12,12.DOI:10.11863/j.suse.2026.02.01
考虑旋转梯度效应的弹性薄膜黏附接触行为研究
Adhesive Contact Behavior of Elastic Thin Films Involving Rotational Gradient Effects
摘要
Abstract
To address the critical mechanical issue of coupled adhesion and size effects in micro-scale devices such as micro-electromechanical systems(MEMS),this study establishes a semi-analytical adhesive contact model between an elastic sphere and a thin film,incorporating size effects.The material size effect is characterized using couple stress theory,while the interfacial adhesive stress is described via the Maugis-Dugdale adhesive model.The pressure distribution and surface deformation are solved using the adhesive-driven conjugate gradient method combined with the discrete convolution-fast Fourier transform(DC-FFT)technique.The influences of film thickness,characteristic material length,shear modulus ratio,and adhesive parameters on the adhesive contact behavior of elatic thin films are systematically investigated.The results show that,under a fixed adhesive parameter,an increase in the characteristic material length or a decrease in either the film thickness or the shear modulus ratio leads to an increase in the peak contact pressure,a reduction in both compressive and tensile deformation—indicating enhanced contact stiffness—and a significant effect on the pull-off force.Specifically,when the dimensionless film thickness is 2,the pull-off force first decreases and then increases with increasing characteristic material length,stabilizing when the dimensionless characteristic length exceeds 3.Thinner films exhibit a larger pull-off force,and the influence range of the characteristic material length on the pull-off force narrows.For a dimensionless thickness less than 1,the pull-off force reaches a minimum at a characteristic material length around 0.25 and then remains stable.This study provides a theoretical foundation for the adhesive control and mechanical design of micro/nano-film structures.关键词
弹性薄膜/黏附接触/尺度效应/半解析法/黏附共轭梯度法/偶应力理论Key words
elastic thin film/adhesive contact/scale effect/semi-analytical method/adhesion-driven conjugate gradient method/couple stress theory分类
数理科学引用本文复制引用
叶秀桦,王宇星,沈火明,张郭勇..考虑旋转梯度效应的弹性薄膜黏附接触行为研究[J].四川轻化工大学学报（自然科学版）,2026,39(2):1-12,12.基金项目
国家自然科学基金项目(12402113) （12402113）
四川省自然科学基金项目(2023NSFSC1300 （）
2024NSFSC0037) （）
