A JKR-Like Solution for Viscoelastic Adhesive Contacts
Résumé
A closed-form solution for the adhesive contact of soft spheres of linear elastic material is available since 1971 thanks to the work of Johnson, Kendall, and Roberts (JKR). A similar solution for viscoelastic spheres is still missing, though semi-analytical and numerical models are available today. In this note, we propose a closed-form analytical solution, based on JKR theory, for the detachment of a rigid sphere from a viscoelastic substrate. The solution returns the applied load and contact penetration as functions of the contact radius and correctly captures the velocity-dependent nature of the viscoelastic pull-off. Moreover, a simple approach is provided to estimate the stick time, i.e., the delay between the time the sphere starts raising from the substrate and the time the contact radius starts reducing. A simple formula is also suggested for the viscoelastic pull-off force. Finally, a comparison with experimental and numerical data is shown.
Domaines
Chimie
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A JKR-Like Solution for Viscoelastic Adhesive Contacts-ARTICLEENLIGNE.pdf (1.01 Mo)
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2_Figure1_1_A_JKR_Like_Solution_for_Viscoelastic_Adhesive_Contacts.png (4.02 Ko)
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3-Figure2-1_A JKR-Like Solution for Viscoelastic Adhesive Contacts.png (87.31 Ko)
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4-Figure3-1_A JKR-Like Solution for Viscoelastic Adhesive Contacts.png (156.25 Ko)
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4-Figure4-1_A JKR-Like Solution for Viscoelastic Adhesive Contacts.png (229.27 Ko)
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5-Figure5-1_A JKR-Like Solution for Viscoelastic Adhesive Contacts.png (66.86 Ko)
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5-Figure6-1_A JKR-Like Solution for Viscoelastic Adhesive Contacts.png (175.56 Ko)
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