A Novel Calculation Method for Adhesive Contact Interactions of Three-Dimensional Randomly Rough Surfaces

Juncheng Luo; Jianhua Liu; Fuli Zhang; Xuerui Zhang; Hongda Shen; Xiaohu Wu; Linshan Wu; Huanxiong Xia

doi:10.1007/s10338-025-00596-7

A Novel Calculation Method for Adhesive Contact Interactions of Three-Dimensional Randomly Rough Surfaces

Juncheng Luo, Jianhua Liu, Fuli Zhang, Xuerui Zhang, Hongda Shen, Xiaohu Wu, Linshan Wu, Huanxiong Xia^*

^*Corresponding author for this work

School of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The debate on the effect of roughness on adhesion is crucial and open yet in contact mechanics. However, exploring the adhesive contact mechanisms of three-dimensional randomly rough surfaces coupling with elastic–plastic behaviors seems blank. This work first provides a comprehensive finite element method for analyzing the adhesive contact of three-dimensional randomly Weibull rough surfaces based on the Derjaguin approximation and the Lennard–Jones potential. The results demonstrate that roughness kills adhesion due to the contribution of inhomogeneous attractions and even repulsions. The adhesion diminishes as the scale parameter increases, the shape parameter decreases, or the thermodynamic work of adhesion decreases. Furthermore, the relationship between the decrement of pull-off force and RMS roughness is quantitatively formulated by introducing a correction parameter as a preliminary attempt from the numerical view for the open debate.

Original language	English
Journal	Acta Mechanica Solida Sinica
DOIs	http://doi.org/10.1007/s10338-025-00596-7
Publication status	Accepted/In press - 2025

Keywords

Adhesive contact
Finite element model
Lennard–Jones potential
Rough surface

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10.1007/s10338-025-00596-7

Cite this

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title = "A Novel Calculation Method for Adhesive Contact Interactions of Three-Dimensional Randomly Rough Surfaces",

abstract = "The debate on the effect of roughness on adhesion is crucial and open yet in contact mechanics. However, exploring the adhesive contact mechanisms of three-dimensional randomly rough surfaces coupling with elastic–plastic behaviors seems blank. This work first provides a comprehensive finite element method for analyzing the adhesive contact of three-dimensional randomly Weibull rough surfaces based on the Derjaguin approximation and the Lennard–Jones potential. The results demonstrate that roughness kills adhesion due to the contribution of inhomogeneous attractions and even repulsions. The adhesion diminishes as the scale parameter increases, the shape parameter decreases, or the thermodynamic work of adhesion decreases. Furthermore, the relationship between the decrement of pull-off force and RMS roughness is quantitatively formulated by introducing a correction parameter as a preliminary attempt from the numerical view for the open debate.",

keywords = "Adhesive contact, Finite element model, Lennard–Jones potential, Rough surface",

author = "Juncheng Luo and Jianhua Liu and Fuli Zhang and Xuerui Zhang and Hongda Shen and Xiaohu Wu and Linshan Wu and Huanxiong Xia",

note = "Publisher Copyright: {\textcopyright} The Chinese Society of Theoretical and Applied Mechanics 2025.",

year = "2025",

doi = "10.1007/s10338-025-00596-7",

language = "English",

journal = "Acta Mechanica Solida Sinica",

issn = "0894-9166",

publisher = "Huazhong University of Science and Technology",

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TY - JOUR

T1 - A Novel Calculation Method for Adhesive Contact Interactions of Three-Dimensional Randomly Rough Surfaces

AU - Luo, Juncheng

AU - Liu, Jianhua

AU - Zhang, Fuli

AU - Zhang, Xuerui

AU - Shen, Hongda

AU - Wu, Xiaohu

AU - Wu, Linshan

AU - Xia, Huanxiong

PY - 2025

Y1 - 2025

N2 - The debate on the effect of roughness on adhesion is crucial and open yet in contact mechanics. However, exploring the adhesive contact mechanisms of three-dimensional randomly rough surfaces coupling with elastic–plastic behaviors seems blank. This work first provides a comprehensive finite element method for analyzing the adhesive contact of three-dimensional randomly Weibull rough surfaces based on the Derjaguin approximation and the Lennard–Jones potential. The results demonstrate that roughness kills adhesion due to the contribution of inhomogeneous attractions and even repulsions. The adhesion diminishes as the scale parameter increases, the shape parameter decreases, or the thermodynamic work of adhesion decreases. Furthermore, the relationship between the decrement of pull-off force and RMS roughness is quantitatively formulated by introducing a correction parameter as a preliminary attempt from the numerical view for the open debate.

AB - The debate on the effect of roughness on adhesion is crucial and open yet in contact mechanics. However, exploring the adhesive contact mechanisms of three-dimensional randomly rough surfaces coupling with elastic–plastic behaviors seems blank. This work first provides a comprehensive finite element method for analyzing the adhesive contact of three-dimensional randomly Weibull rough surfaces based on the Derjaguin approximation and the Lennard–Jones potential. The results demonstrate that roughness kills adhesion due to the contribution of inhomogeneous attractions and even repulsions. The adhesion diminishes as the scale parameter increases, the shape parameter decreases, or the thermodynamic work of adhesion decreases. Furthermore, the relationship between the decrement of pull-off force and RMS roughness is quantitatively formulated by introducing a correction parameter as a preliminary attempt from the numerical view for the open debate.

KW - Adhesive contact

KW - Finite element model

KW - Lennard–Jones potential

KW - Rough surface

UR - http://www.scopus.com/pages/publications/85219723701

U2 - 10.1007/s10338-025-00596-7

DO - 10.1007/s10338-025-00596-7

M3 - Article

AN - SCOPUS:85219723701

SN - 0894-9166

JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

ER -

A Novel Calculation Method for Adhesive Contact Interactions of Three-Dimensional Randomly Rough Surfaces

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Keywords

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