AbstractThe 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 particle-vapor
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.
Automated pick-and-place of single nanoparticle using electrically controlled low-surface energy nanotweezer
