2013
DOI: 10.1007/s11249-013-0245-4
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Energy Loss in the Impact of Elastic Spheres on a Rigid Half-Space in Presence of Adhesion

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Cited by 9 publications
(5 citation statements)
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“…When the interacting bodies’ resistance to deformation is less than or equal to the adhesion force gradient, a mechanical instability ensues, resulting in jump-to-contact phenomenon. 29, 35 For characterising this phenomenon, Pethica and Sutton 34 studied the adhesive contact between two elastic spheres and developed an expression which predicted that jump-to-contact would occur for a separation given by: Attard and Parker 36 using perturbation theory, derived a similar expression for instability separation, with difference only in the numerical constants. In the above equations, reduced modulus E * is defined as 1 E * = 1 ν 1 2 E 1 + 1 ν 2 2 E 2, R is the radius of the sphere, A normalH is the Hamaker constant and d inst is the separation at which the instability occurs.…”
Section: Resultsmentioning
confidence: 99%
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“…When the interacting bodies’ resistance to deformation is less than or equal to the adhesion force gradient, a mechanical instability ensues, resulting in jump-to-contact phenomenon. 29, 35 For characterising this phenomenon, Pethica and Sutton 34 studied the adhesive contact between two elastic spheres and developed an expression which predicted that jump-to-contact would occur for a separation given by: Attard and Parker 36 using perturbation theory, derived a similar expression for instability separation, with difference only in the numerical constants. In the above equations, reduced modulus E * is defined as 1 E * = 1 ν 1 2 E 1 + 1 ν 2 2 E 2, R is the radius of the sphere, A normalH is the Hamaker constant and d inst is the separation at which the instability occurs.…”
Section: Resultsmentioning
confidence: 99%
“…When the interacting bodies' resistance to deformation is less than or equal to the adhesion force gradient, a mechanical instability ensues, resulting in jump-to-contact phenomenon. 29,35 For characterising this phenomenon, Pethica and Sutton 34 studied the adhesive contact between two elastic spheres and developed an expression which predicted that jump-to-contact would occur for a separation given by:…”
Section: Jump-to-contact Instabilitymentioning
confidence: 99%
See 1 more Smart Citation
“…Instead of the surface-based tractionseparation law (39), the Lennard-Jones potential can also be used within a body force-based separation law. Examples are given in [240], [119], [241], and [242,243]. The last two references apply the formulation to study the adhesive impact of elastic rods and spheres, examining the apparent energy loss during impact.…”
Section: Molecular Models For Adhesionmentioning
confidence: 99%
“…Such an observation can be easily incorporated in our model by assigning different constitutive parameters across the interface, which however is not pursued in this work for the sake of clarity [21,22]. We also note that the adhesive interaction can also be modelled in a body force formulation [23], which will not be pursued in this work.…”
Section: Problem Definition and Interface Modelmentioning
confidence: 99%