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Micromechanics of Rough Surface Adhesion: A Homogenized Projection Method

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Abstract

A quasistatic homogenized projection is made to characterize the effective cohesive zone behavior for rough-surface adhesion. In the context of the homogenized projection, the traction versus separation relation for the homogenized cohesive zone (HCZ) of a rough interface can be highly oscillatory due to instabilities during microscopic adhesion and decohesion processes. The instabilities are found to occur not only individually but also collectively among the adhesive micro-asperity contacts, leading to extensive energy dissipation. Based on the behaviors of the HCZ relations, a framework for describing instability-induced energy dissipation in rough-surface adhesion is proposed to elucidate the effect of roughness on apparent interface adhesion. Two non-dimensional parameters, α related to roughness morphology and n related to flaw distribution, are identified to be most crucial for controlling the energy dissipation. For an interface with a shallow roughness and a strong intrinsic adhesive strength, the interface adhesion can be stronger if we make it rougher (reducing α) or lower its flaw density (increasing n). The HCZ projection method can be potentially extended and employed to bridge the apparent adhesion from intrinsic adhesion properties for engineering surfaces with multi-scale shallow roughness.

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Author notes

  1. Qunyang Li

    Present address: Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA, 19104, USA

Authors and Affiliations

  1. Division of Engineering, Brown University, Providence, RI, 02912, USA

    Qunyang Li & Kyung-Suk Kim

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  1. Qunyang Li
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  2. Kyung-Suk Kim
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Correspondence to Qunyang Li.

Additional information

Project supported in part by the Nano and Bio Mechanics Program, under award CMS-0511961, and in part by the MRSEC Program, under award DMR-0520651, of the National Science Foundation.

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Li, Q., Kim, KS. Micromechanics of Rough Surface Adhesion: A Homogenized Projection Method. Acta Mech. Solida Sin. 22, 377–390 (2009). https://doi.org/10.1016/S0894-9166(09)60288-3

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  • DOI: https://doi.org/10.1016/S0894-9166(09)60288-3

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