Role of the Shuttleworth effect in adhesion on elastic surfaces
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Role of the Shuttleworth effect in adhesion on elastic surfaces Shayandev Sinha and Siddhartha Das MRS Advances / Volume 1 / Issue 10 / January 2016, pp 621 - 630 DOI: 10.1557/adv.2016.218, Published online: 22 March 2016
Link to this article: http://journals.cambridge.org/abstract_S2059852116002188 How to cite this article: Shayandev Sinha and Siddhartha Das (2016). Role of the Shuttleworth effect in adhesion on elastic surfaces. MRS Advances, 1, pp 621-630 doi:10.1557/ adv.2016.218 Request Permissions : Click here
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MRS Advances © 2016 Materials Research Society DOI: 10.1557/adv.2016.218
Role of the Shuttleworth effect in adhesion on elastic surfaces Shayandev Sinha and Siddhartha Das* Department of Mechanical Engineering, University of Maryland, College Park, Maryland 20742, United States *E-mail: [email protected]
Abstract The Shuttleworth effect ensures that at an interface, where one of the phases is an elastic solid, surface stress is not equal to the surface energy. In this paper, we provide a free energy based approach to quantify the impact of the Shuttleworth effect in the adhesion of a rigid, spherical particle on an elastic solid. Our paper has four key findings. Firstly, we demonstrate that the difference in the elastic-solid-particle surface stress and surface energies is linearly proportional to the adhesion energy. Secondly, we establish that the surface stresses being larger than the surface energies provide the sufficient condition for an energetically favorable adhesion. Thirdly, we show that for a given adhesion energy and solid-vapor surface energy increase in particlevapor surface energy makes the adhesion, in presence of the Shuttleworth effect, more favorable. Finally, and most importantly, we identify the necessary parameter space corresponding to which the Shuttleworth effect may or may not enhance the adhesion as compared to the case that does not account for the Shuttleworth effect. We anticipate that our findings will significantly impact our understanding of a plethora of problems involving adhesion and indentation on soft surfaces, such as nanoparticle adhesion on cells, nanoindentation based characterization of soft solids, applications of adhesion-based soft lithography techniques, etc.
1. Introduction Problems involving surface energy mediated liquid-elastic-solid interactions have seen massive interests over the past few years. Among others, this topic encompasses problems such as Elastocapillarity,1-8 Surface-energy-mediated adhesion,9-12 etc., with applications such as engineering hierarchical nanostructures,13 elastocapillarity mediated collapsing of carbon nanotubes for energy applications,14 drop patterning on soft surfaces,15 soft-surface-triggered arresting of spreading of cancer cells,16 developing novel routes for self-assembly and drop motion,17,18 and many mo
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