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Cohesive detachment of an elastic pillar from a dissimilar substrate

  • The adhesion of micron-scale surfaces due to intermolecular interactions is a subject of intense interest spanning electronics, biomechanics and the application of soft materials to engineering devices. The degree of adhesion is sensitive to the diameter of micro-pillars in addition to the degree of elastic mismatch between pillar and substrate. Adhesion-strength-controlled detachment of an elastic circular cylinder from a dissimilar substrate is predicted using a Dugdale-type of analysis, with a cohesive zone of uniform tensile strength emanating from the interface corner. Detachment initiates when the opening of the cohesive zone attains a critical value, giving way to crack formation. When the cohesive zone size at crack initiation is small compared to the pillar diameter, the initiation of detachment can be expressed in terms of a critical value Hc of the corner stress intensity. The estimated pull-off force is somewhat sensitive to the choice of stick/slip boundary condition used on the cohesive zone, especially when the substrate material is much stiffer than the pillar material. The analysis can be used to predict the sensitivity of detachment force to the size of pillar and to the degree of elastic mismatch between pillar and substrate.

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Document Type:Article
Author:Norman A. FleckORCiD, Syed N. Khaderi, Robert M. McMeekingORCiD, Eduard ArztORCiD
Parent Title (English):Journal of the Mechanics and Physics of Solids
First Page:30
Last Page:43
Year of first Publication:2017
Release Date:2022/11/18
Impact:03.566 (2017)
Funding Information:ERC MULTILAT Grant 669764; US ONR (N62909-14-1-N232); Alexander von Humboldt Foundation; European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013)/ERC Grant agreement no. 340929.
Groups:Funktionelle Mikrostrukturen
Open Access:Open Access
Signature:INM 2017/034
Licence (German):License LogoCreative Commons - CC BY-NC-ND - Namensnennung - Nicht kommerziell - Keine Bearbeitungen 4.0 International