Energy Loss in the Impact of Elastic Spheres on a Rigid Half-Space in Presence of Adhesion

Jayadeep, U. B.; Bobji, M. S.; Jog, C. S.

doi:10.1007/s11249-013-0245-4

Cited by 9 publications

(5 citation statements)

References 42 publications

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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%

“…When an elastic body interacts with a rigid half-space, direction of the force is normal to the half-space surface at all points in the body, and magnitude of the force is a function of the distance from half-space surface 29 where z is the distance to the volume element from the half-space. In the Lumped Parameter Model, the matter is assumed to be lumped at the nodal locations of a FE model.…”

Section: Modelling and Formulationmentioning

confidence: 99%

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An efficient computational model for adhesive contact mechanics based on a lumped parameter formulation

Jayadeep

Mathews

2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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Adhesive force due to van der Waals interactions plays a significant role in contact interactions at small scale. In this work, we propose a novel simulation module for performing adhesive contact analysis using a finite element (FE) software, based on a lumped parameter formulation. The numerical results are validated by comparing with analytical results. The proposed model significantly reduces computational resource requirements compared to direct implementation of body force in FE software. Adhesion-induced instability (jump-to-contact) phenomenon is studied with the help of this computational model. Finally, we demonstrate the applicability of the proposed formulation by studying the effect of adhesion applied to cantilever dynamics on an atomic force microscope.

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Section: Resultsmentioning

confidence: 99%

Section: Jump-to-contact Instabilitymentioning

confidence: 99%

Section: Modelling and Formulationmentioning

confidence: 99%

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An efficient computational model for adhesive contact mechanics based on a lumped parameter formulation

Jayadeep

Mathews

2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…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%

A Survey of Computational Models for Adhesion

Sauer

2015

The Journal of Adhesion

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This work presents a survey of computational methods for adhesive contact focusing on general continuum mechanical models for attractive interactions between solids that are suitable for describing bonding and debonding of arbitrary bodies. The most general approaches are local models that can be applied irrespective of the geometry of the bodies. Two cases can be distinguished: local material models governing the constitutive behavior of adhesives, and local interface models governing adhesion and cohesion at interfaces in the form of traction-separation laws. For both models various subcategories are identified and described, and used to organize the available literature that has contributed to their advancement. Due to their popularity and importance, this survey also gives an overview of effective adhesion models that have been formulated to characterize the global behavior of specific adhesion problems.

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“…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%

Non-uniform breaking of molecular bonds, peripheral morphology and releasable adhesion by elastic anisotropy in bio-adhesive contacts

Liu

Gao

2015

J. R. Soc. Interface.

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Biological adhesive contacts are usually of hierarchical structures, such as the clustering of hundreds of sub-micrometre spatulae on keratinous hairs of gecko feet, or the clustering of molecular bonds into focal contacts in cell adhesion. When separating these interfaces, releasable adhesion can be accomplished by asymmetric alignment of the lowest scale discrete bonds (such as the inclined spatula that leads to different peeling force when loading in different directions) or by elastic anisotropy. However, only two-dimensional contact has been analysed for the latter method (Chen & Gao 2007 J. Mech. Phys. Solids 55, 1001-1015 (doi:10.1016/j.jmps.2006.10.008)). Important questions such as the three-dimensional contact morphology, the maximum to minimum pull-off force ratio and the tunability of releasable adhesion cannot be answered. In this work, we developed a three-dimensional cohesive interface model with fictitious viscosity that is capable of simulating the de-adhesion instability and the peripheral morphology before and after the onset of instability. The two-dimensional prediction is found to significantly overestimate the maximum to minimum pull-off force ratio. Based on an interface fracture mechanics analysis, we conclude that (i) the maximum and minimum pull-off forces correspond to the largest and smallest contact stiffness, i.e. 'stiff-adhere and compliant-release', (ii) the fracture toughness is sensitive to the crack morphology and the initial contact shape can be designed to attain a significantly higher maximum-to-minimum pull-off force ratio than a circular contact, and (iii) since the adhesion is accomplished by clustering of discrete bonds or called bridged crack in terms of fracture mechanics terminology, the above conclusions can only be achieved when the bridging zone is significantly smaller than the contact size. This adhesion-fracture analogy study leads to mechanistic predictions that can be readily used to design biomimetics and releasable adhesives.

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Energy Loss in the Impact of Elastic Spheres on a Rigid Half-Space in Presence of Adhesion

Cited by 9 publications

References 42 publications

An efficient computational model for adhesive contact mechanics based on a lumped parameter formulation

An efficient computational model for adhesive contact mechanics based on a lumped parameter formulation

A Survey of Computational Models for Adhesion

Non-uniform breaking of molecular bonds, peripheral morphology and releasable adhesion by elastic anisotropy in bio-adhesive contacts

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