Strength of adhesive contacts: Influence of contact geometry and material gradients

Abstract The strength of an adhesive contact between two bodies can strongly depend on the macroscopic and microscopic shape of the surfaces. In the past, the influence of roughness has been investigated thoroughly. However, even in the presence of perfectly smooth surfaces, geometry can come into p...

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Main Authors: Valentin L. Popov, Roman Pohrt, Qiang Li
Format: Article
Language:English
Published: Tsinghua University Press 2017-09-01
Series:Friction
Subjects:
Online Access:http://link.springer.com/article/10.1007/s40544-017-0177-3
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author Valentin L. Popov
Roman Pohrt
Qiang Li
author_facet Valentin L. Popov
Roman Pohrt
Qiang Li
author_sort Valentin L. Popov
collection DOAJ
description Abstract The strength of an adhesive contact between two bodies can strongly depend on the macroscopic and microscopic shape of the surfaces. In the past, the influence of roughness has been investigated thoroughly. However, even in the presence of perfectly smooth surfaces, geometry can come into play in form of the macroscopic shape of the contacting region. Here we present numerical and experimental results for contacts of rigid punches with flat but oddly shaped face contacting a soft, adhesive counterpart. When it is carefully pulled off, we find that in contrast to circular shapes, detachment occurs not instantaneously but detachment fronts start at pointed corners and travel inwards, until the final configuration is reached which for macroscopically isotropic shapes is almost circular. For elongated indenters, the final shape resembles the original one with rounded corners. We describe the influence of the shape of the stamp both experimentally and numerically. Numerical simulations are performed using a new formulation of the boundary element method for simulation of adhesive contacts suggested by Pohrt and Popov. It is based on a local, mesh dependent detachment criterion which is derived from the Griffith principle of balance of released elastic energy and the work of adhesion. The validation of the suggested method is made both by comparison with known analytical solutions and with experiments. The method is applied for simulating the detachment of flat-ended indenters with square, triangle or rectangular shape of cross-section as well as shapes with various kinds of faults and to “brushes”. The method is extended for describing power-law gradient media.
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publisher Tsinghua University Press
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spelling doaj-art-1fb26d7da3304ac0ba986c4ba9756c792025-08-20T02:28:01ZengTsinghua University PressFriction2223-76902223-77042017-09-015330832510.1007/s40544-017-0177-3Strength of adhesive contacts: Influence of contact geometry and material gradientsValentin L. Popov0Roman Pohrt1Qiang Li2Institute of Mechanics, Technische Universität BerlinInstitute of Mechanics, Technische Universität BerlinInstitute of Mechanics, Technische Universität BerlinAbstract The strength of an adhesive contact between two bodies can strongly depend on the macroscopic and microscopic shape of the surfaces. In the past, the influence of roughness has been investigated thoroughly. However, even in the presence of perfectly smooth surfaces, geometry can come into play in form of the macroscopic shape of the contacting region. Here we present numerical and experimental results for contacts of rigid punches with flat but oddly shaped face contacting a soft, adhesive counterpart. When it is carefully pulled off, we find that in contrast to circular shapes, detachment occurs not instantaneously but detachment fronts start at pointed corners and travel inwards, until the final configuration is reached which for macroscopically isotropic shapes is almost circular. For elongated indenters, the final shape resembles the original one with rounded corners. We describe the influence of the shape of the stamp both experimentally and numerically. Numerical simulations are performed using a new formulation of the boundary element method for simulation of adhesive contacts suggested by Pohrt and Popov. It is based on a local, mesh dependent detachment criterion which is derived from the Griffith principle of balance of released elastic energy and the work of adhesion. The validation of the suggested method is made both by comparison with known analytical solutions and with experiments. The method is applied for simulating the detachment of flat-ended indenters with square, triangle or rectangular shape of cross-section as well as shapes with various kinds of faults and to “brushes”. The method is extended for describing power-law gradient media.http://link.springer.com/article/10.1007/s40544-017-0177-3adhesionboundary element method (BEM)flat-ended indentersgradient media
spellingShingle Valentin L. Popov
Roman Pohrt
Qiang Li
Strength of adhesive contacts: Influence of contact geometry and material gradients
Friction
adhesion
boundary element method (BEM)
flat-ended indenters
gradient media
title Strength of adhesive contacts: Influence of contact geometry and material gradients
title_full Strength of adhesive contacts: Influence of contact geometry and material gradients
title_fullStr Strength of adhesive contacts: Influence of contact geometry and material gradients
title_full_unstemmed Strength of adhesive contacts: Influence of contact geometry and material gradients
title_short Strength of adhesive contacts: Influence of contact geometry and material gradients
title_sort strength of adhesive contacts influence of contact geometry and material gradients
topic adhesion
boundary element method (BEM)
flat-ended indenters
gradient media
url http://link.springer.com/article/10.1007/s40544-017-0177-3
work_keys_str_mv AT valentinlpopov strengthofadhesivecontactsinfluenceofcontactgeometryandmaterialgradients
AT romanpohrt strengthofadhesivecontactsinfluenceofcontactgeometryandmaterialgradients
AT qiangli strengthofadhesivecontactsinfluenceofcontactgeometryandmaterialgradients