Adhesive contact based on the Lennard–Jones potential: a correction to the value of the equilibrium distance as used in the potential

Yu, Ning; Polycarpou, Andreas A.

doi:10.1016/j.jcis.2004.06.029

Cited by 174 publications

(88 citation statements)

References 19 publications

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“…Similar adhesion laws have been adopted elsewhere (Seifert, 1991;Mishin et al, 2002;Komura et al, 2005). The equilibrium separation o  should not be interpreted as the equilibrium length scale of an atomistic potential (Yu and Polycarpou, 2004), but should be regarded as a bulk adhesion parameter. Similarly, the work of adhesion ad W and the interface strength m  are also considered bulk parameters in this analysis, representing all physics that contribute to the effective behavior of the adhesive layer.…”

Section: The Adhesive Lawmentioning

confidence: 94%

“…For the wafer and gold nanocap shell height is calculated using the given system parameters and the shallow cap approximation 2 2 H a   , while for the cell and lipid bilayer the height is set equal to the estimated radius for a spherical geometry; b. Maximum stress is calculated using the given system parameters and (4); c. Turner and Spearing (2002); d. Yu and Polycarpou (2004); e. Salvadori et al (2003); f. Charnay et al (2003); g. Pesen and Hoh (2005); h. Estimated thickness of the actin cortex from Lang et al (2000) and Pesen and Hoh (2005); i. Simson et al (1998);j.…”

Section: Appendixmentioning

confidence: 99%

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Snap transitions in adhesion

Springman

Bassani

2008

Journal of the Mechanics and Physics of Solids

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Equilibrium adhesion states are analyzed for nonlinear spherical caps adhered to a rigid substrate under the influence of adhesive tractions that depend on the local separation between the shell and substrate. Transitions between bistable snapped-in and snapped-out configurations are predicted as a function of four nondimensional parameters representing the adhesive energy, the undeformed shell curvature, the range of the adhesive interactions, and the magnitude of an externally applied load. Nonuniform energy and traction fields associated with free-edge boundary conditions are calculated to better understand localized phenomena such as the diffusion of impurities into a bonded interface and the diffusion of receptors in the cell membrane. The linear Griffith approximations commonly used in the literature are shown to be limited to shells with a small height to thickness ratio and short-range adhesive interactions. External loading is found to alter the adhered configurations and the spatial distributions of both adhesive and elastic energies. An important implication of the latter analysis is the theoretical prediction of the pull-off force, which is shown to depend not only on the interface properties, but also on the geometric and material parameters of the shell and on both the magnitude and type of external loading. AbstractEquilibrium adhesion states are analyzed for nonlinear spherical caps adhered to a rigid substrate under the influence of adhesive tractions that depend on the local separation between the shell and substrate. Transitions between bistable snapped-in and snapped-out configurations are predicted as a function of four nondimensional parameters representing the adhesive energy, the undeformed shell curvature, the range of the adhesive interactions, and the magnitude of an externally applied load. Non-uniform energy and traction fields associated with free-edge boundary conditions are calculated to better understand localized phenomena such as the diffusion of impurities into a bonded interface and the diffusion of receptors in the cell membrane. The linear Griffith approximations commonly used in the literature are shown to be limited to shells with a small height to thickness ratio and short-range adhesive interactions. External loading is shown to alter the adhered configurations and the spatial distributions of both adhesive and elastic energies. An important implication of the latter analysis is the theoretical prediction of the pull-off force, which is shown to depend not only on the interface properties, but also on the geometric and material parameters of the shell and on both the magnitude and type of external loading.

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Section: The Adhesive Lawmentioning

confidence: 94%

Section: Appendixmentioning

confidence: 99%

Snap transitions in adhesion

Springman

Bassani

2008

Journal of the Mechanics and Physics of Solids

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“…We consider the physical absorption effect, which is due to the short-range interatomic interaction, without an electron transfer across the interface. Based on this assumption, we use the well-established adhesive force theory based on the Hamaker constant [34]. Microscopically, the interaction between the CNT and the electrode is the adhesion between the two surfaces which are close to each other, and the adhesive force per unit area is described by Eq.…”

Section: Discussionmentioning

confidence: 99%

“…This adhesive force can vary from the zero-voltage value to the maximum value F max ad at the connection stage, in response to an increase of the force pulling the CNT back due to the elastic restoring force and electrostatic force. A simple expression with an analytical form of the adhesive force per unit area at he CNT/metal interface, derived from the Lennard-Jones potential, is enough for describing the short-range interaction, in order to demonstrate the mechanism of operations of the present double-pole devices [34],…”

Section: Adhesive Forcementioning

confidence: 99%

Designing a Double-Pole Nanoscale Relay Based on a Carbon Nanotube: A Theoretical Study

Ouyang

Dresselhaus

2017

Phys. Rev. Applied

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We theoretically investigate a novel and powerful double-pole nanoscale relay based on a carbon nanotube, which is one of the nanoelectromechanical switches being able to work under the strong nuclear radiation, and analyze the physical mechanism of the operating stages in the operation, including "pull in," "connection," and "pull back," as well as the key factors influencing the efficiency of the devices. We explicitly provide the analytical expression of the two important operation voltages, V pull in and V pull back , therefore clearly showing the dependence of the material properties and geometry of the present devices by the analytical method from basic physics, avoiding complex numerical calculations. Our method is easy to use in preparing the design guide for fabricating the present device and other nanoelectromechanical devices.

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“…In macroscopic systems, we can represent the atomic interactions between atoms by surface tractions [16] and by assuming the surface traction to be in the zdirection, then for an LJ potential one can write the surface traction [17] …”

Section: Theory and Methods Of Simulationsmentioning

confidence: 99%

Adhesion Energy, Surface Traction and Surface Tension in Fe-Mg Binary Alloys

Adebayo

Anusionwu

2007

Zeitschrift Für Naturforschung A

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We present adhesion and surface energies of Fe-Mg binary alloys from simulation studies. The adhesion energy was calculated using the assumption that work is done when atoms come into contact by moving two surfaces from equilibrium position z o to ∞, while the surface traction was determined from the atomic interactions between atoms. The surface tension variation with temperature was investigated from the diffusion coefficient obtained by performing molecular dynamics simulations at temperatures above the eutetic temperature of Fe-Mg. It was observed that the structural information as well as the calculated surface tension suggest segregation in Fe-Mg alloys at all investigated temperatures.

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Adhesive contact based on the Lennard–Jones potential: a correction to the value of the equilibrium distance as used in the potential

Cited by 174 publications

References 19 publications

Snap transitions in adhesion

Snap transitions in adhesion

Designing a Double-Pole Nanoscale Relay Based on a Carbon Nanotube: A Theoretical Study

Adhesion Energy, Surface Traction and Surface Tension in Fe-Mg Binary Alloys

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