Three-dimensional stability theory of deformable bodies surface instability

1986 ◽  
Vol 22 (1) ◽  
pp. 17-26 ◽  
Author(s):  
A. N. Guz'
Keyword(s):  
Dimensional Stability ◽  
Stability Theory ◽  
Three Dimensional ◽  
Surface Instability ◽  
Deformable Bodies

Attractive forces slow contact formation between deformable bodies underwater

2021 ◽  
Vol 118 (41) ◽  
pp. e2104975118
Author(s):  
Mengyue Sun ◽  
Nityanshu Kumar ◽  
Ali Dhinojwala ◽  
Hunter King
Keyword(s):  
Three Dimensional ◽  
Adhesive Contact ◽  
Final State ◽  
Underwater Adhesion ◽  
Frustrated Total Internal Reflection ◽  
Solid Deformation ◽  
Hydrophilic Surfaces ◽  
Deformable Bodies ◽  
Adhesive Interactions

Thermodynamics tells us to expect underwater contact between two hydrophobic surfaces to result in stronger adhesion compared to two hydrophilic surfaces. However, the presence of water changes not only energetics but also the dynamic process of reaching a final state, which couples solid deformation and liquid evacuation. These dynamics can create challenges for achieving strong underwater adhesion/friction, which affects diverse fields including soft robotics, biolocomotion, and tire traction. Closer investigation, requiring sufficiently precise resolution of film evacuation while simultaneously controlling surface wettability, has been lacking. We perform high-resolution in situ frustrated total internal reflection imaging to track underwater contact evolution between soft-elastic hemispheres of varying stiffness and smooth–hard surfaces of varying wettability. Surprisingly, we find the exponential rate of water evacuation from hydrophobic–hydrophobic (adhesive) contact is three orders of magnitude lower than that from hydrophobic–hydrophilic (nonadhesive) contact. The trend of decreasing rate with decreasing wettability of glass sharply changes about a point where thermodynamic adhesion crosses zero, suggesting a transition in mode of evacuation, which is illuminated by three-dimensional spatiotemporal height maps. Adhesive contact is characterized by the early localization of sealed puddles, whereas nonadhesive contact remains smooth, with film-wise evacuation from one central puddle. Measurements with a human thumb and alternatively hydrophobic/hydrophilic glass surface demonstrate practical consequences of the same dynamics: adhesive interactions cause instability in valleys and lead to a state of more trapped water and less intimate solid–solid contact. These findings offer interpretation of patterned texture seen in underwater biolocomotive adaptations as well as insight toward technological implementation.

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