Michele Santeramo , Giuseppe Carbone , Stefan Krenn , Carmine Putignano
{"title":"粗糙表面黏着接触力学的一种新的基于能量的数值方法","authors":"Michele Santeramo , Giuseppe Carbone , Stefan Krenn , Carmine Putignano","doi":"10.1016/j.jmps.2025.106217","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we present an innovative Boundary Element methodology to deal with 3D elastic adhesive contacts. Crucially, the numerical procedure, which is fully general as it enables the study of both smooth and rough contacts, is based on a novel algorithm to assess the contact area in a three-dimensional domain: the contours of the contact patches are determined by imposing that the total energy of the system is stationary. This methodology is successfully validated against the well-known JKR solution involving a smooth sphere in contact with a half-space. Then, to evaluate the robustness of the solver, the multi-asperity contact between a double sine wave surface and an elastic halfspace is studied: specifically, when focusing on two asperities, the coalescence of the related contact patches is shown to be accurately described. Finally, the analysis has been broadened to the contact between rough surfaces: the solution, successfully benchmarked with other numerical methods available in literature, demonstrates that our numerical approach is highly accurate and reliable, thus representing a new efficient methodology to deal with all contact problems characterized by a certain interfacial energy.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106217"},"PeriodicalIF":6.0000,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A novel energy-based numerical approach for adhesive contact mechanics of rough surfaces\",\"authors\":\"Michele Santeramo , Giuseppe Carbone , Stefan Krenn , Carmine Putignano\",\"doi\":\"10.1016/j.jmps.2025.106217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we present an innovative Boundary Element methodology to deal with 3D elastic adhesive contacts. Crucially, the numerical procedure, which is fully general as it enables the study of both smooth and rough contacts, is based on a novel algorithm to assess the contact area in a three-dimensional domain: the contours of the contact patches are determined by imposing that the total energy of the system is stationary. This methodology is successfully validated against the well-known JKR solution involving a smooth sphere in contact with a half-space. Then, to evaluate the robustness of the solver, the multi-asperity contact between a double sine wave surface and an elastic halfspace is studied: specifically, when focusing on two asperities, the coalescence of the related contact patches is shown to be accurately described. Finally, the analysis has been broadened to the contact between rough surfaces: the solution, successfully benchmarked with other numerical methods available in literature, demonstrates that our numerical approach is highly accurate and reliable, thus representing a new efficient methodology to deal with all contact problems characterized by a certain interfacial energy.</div></div>\",\"PeriodicalId\":17331,\"journal\":{\"name\":\"Journal of The Mechanics and Physics of Solids\",\"volume\":\"203 \",\"pages\":\"Article 106217\"},\"PeriodicalIF\":6.0000,\"publicationDate\":\"2025-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Mechanics and Physics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022509625001930\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Mechanics and Physics of Solids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022509625001930","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
A novel energy-based numerical approach for adhesive contact mechanics of rough surfaces
In this paper, we present an innovative Boundary Element methodology to deal with 3D elastic adhesive contacts. Crucially, the numerical procedure, which is fully general as it enables the study of both smooth and rough contacts, is based on a novel algorithm to assess the contact area in a three-dimensional domain: the contours of the contact patches are determined by imposing that the total energy of the system is stationary. This methodology is successfully validated against the well-known JKR solution involving a smooth sphere in contact with a half-space. Then, to evaluate the robustness of the solver, the multi-asperity contact between a double sine wave surface and an elastic halfspace is studied: specifically, when focusing on two asperities, the coalescence of the related contact patches is shown to be accurately described. Finally, the analysis has been broadened to the contact between rough surfaces: the solution, successfully benchmarked with other numerical methods available in literature, demonstrates that our numerical approach is highly accurate and reliable, thus representing a new efficient methodology to deal with all contact problems characterized by a certain interfacial energy.
期刊介绍:
The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics.
The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics.
The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.