2006
DOI: 10.1016/s1672-6529(07)60004-3
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Numerical analysis of the adhesive forces in nano-scale structure

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Cited by 10 publications
(9 citation statements)
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“…For two macroscopic phases, 1 and 2, which interact across a medium 3, A can be estimated based on the optical and electric properties of a material using McLachlan's equation [15]: A kT n n n n h n n n n n n n n (5) where the input parameters are the dielectric constants  ( ) and the refractive indices (n), and e  is the absorption frequency. For two dissimilar materials, the Hamaker constant may be estimated in terms of the geometric mean of the Hamaker constant of each material [16], that is: 12 11 22…”
Section: Adhesion Forces and Hamaker Expressionsmentioning
confidence: 99%
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“…For two macroscopic phases, 1 and 2, which interact across a medium 3, A can be estimated based on the optical and electric properties of a material using McLachlan's equation [15]: A kT n n n n h n n n n n n n n (5) where the input parameters are the dielectric constants  ( ) and the refractive indices (n), and e  is the absorption frequency. For two dissimilar materials, the Hamaker constant may be estimated in terms of the geometric mean of the Hamaker constant of each material [16], that is: 12 11 22…”
Section: Adhesion Forces and Hamaker Expressionsmentioning
confidence: 99%
“…This parameter is presented in Eq. (9), where depth h is the penetration depth, L real is the real area of contact, 12 A is the Hamaker constant, E is the elastic modulus, and failure  is the material stress strength. This parameter is analogous to Archard's equation [28], since it relates mechanical properties and system characteristics to evaluate wear, but is dedicated to the analysis of adhesion and, for now, is restricted to the nanoscale.…”
Section: Adhesive Wear and Materials Transfermentioning
confidence: 99%
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“…For this purpose, researchers have been investigating the adhesion mechanisms used in nature by certain animals and insects. [7][8][9][10] For instance, it is found that geckos can adhere and scale vertical walls with the help of fibrillar 'hairy structures' that are found on their feet. [11][12][13][14] Each fibril is essentially a hierarchical structure that consists of micron-sized keratinous hairlike structures (satae), which further branches out into hundreds of nanometer sized structures called spatulas.…”
Section: Introductionmentioning
confidence: 99%
“…The first ones can be estimated by two major parameters, the junction-breaking shear stress and the junction size, which can be obtained by analytical elastic continuum adhesive contact analyses, such as the JKR (Johnson-Kendall-Roberts [7], DMT (Derjaguin-Muller-Toporov) [8] and MD (Maugis-Dugdale) [9] theories, or by finite element adhesive contact models [10][11][12]. These analyses [7][8][9][10][11][12] are also able to predict pull-off force, contact force and contact area [13]. In the JKR model, adhesive forces (attractive tensile forces) are considered only within the contact region, while in the DMT model, adhesive forces are considered only outside of the contact region, with the assumption of Hertzian behavior for the deformed profile [11].…”
Section: Introductionmentioning
confidence: 99%