Elastic Contact Mechanics of Randomly Rough Surfaces: An Assessment of Advanced Asperity Models and Persson’s Theory

Afferrante, L.; Bottiglione, Francesco; Putignano, Carmine; Persson, B. N. J.; Carbone, Giuseppe

doi:10.1007/s11249-018-1026-x

Cited by 86 publications

(75 citation statements)

References 44 publications

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“…Fig. 2 shows, for a self-affine fractal surface, the repulsive area vs. external pressure predictions as obtained by the BEM code of Pastewka [27,28] and the modified Persson's theory given by Afferrante et al [22]. It is clear that for nonadhesive contact the area vs. load relation is approximately linear with a coefficient κ ≃ 2 (as shown in [29,30]).…”

Section: A Dmt Theory Based Criterionmentioning

confidence: 86%

“…An elaborate expression for P (u) (for the purely repulsive problem, i.e. in the absence of any adhesion) is obtained in Persson's theory (see [22]). Results of the stickiness criterion of PR seem to suggest that there should be no asymptotic expression (in the fractal limit) to P (u).…”

Section: A Dmt Theory Based Criterionmentioning

confidence: 99%

“…In order to derive a better criterion than FT an PR, it becomes imperative to dispose of a theory with enough accuracy for very broad spectra, typical of real surfaces which can be expected to have features from millimeter to nanometer scale, hence showing perhaps five decades of roughness wavelengths, or more. Persson and Scaraggi (PS theory, [21]) provided a full theory based on the DMT assumption which, with some refinements [22], can be used for the purpose of deriving a "stickiness" criterion and its convergence in the fractal limit, finding the correct parameters dependences.…”

Section: Introductionmentioning

confidence: 99%

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On stickiness of multiscale randomly rough surfaces

Violano

Afferrante

Papangelo

et al. 2019

The Journal of Adhesion

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We derive a very simple and effective stickiness criterion for solids having random roughness using a new asymptotic theory, which we validate with that of Persson and Scaraggi and independent numerical experiments. Previous claims that stickiness may depend on small scale quantities such as rms slopes and/or curvatures, obtained by making oversimplified assumptions on the contact area geometry, are largely incorrect, as the truncation of the PSD spectrum of roughness at short wavelengths is irrelevant. We find stickiness is destroyed typically at roughness amplitudes up to three orders of magnitude larger than the range of attractive forces. With typical nanometer values of the latter, the criterion gives justification to the qualitative well known empirical Dalhquist criterion for stickiness which demands adhesives to have elastic modulus lower than about 1MPa.The results clarifies a much debated question in both the scientific and technological world of adhesion, and may serve as benchmark for better comprehension of the role of roughness.3/2 rms ∆γ/ R 1/2 E * where E * is the plane strain elastic modulus, ∆γ is interface energy. The choice of R seems critical in view of its sensitivity to "resolution" or "magnification" [13], i.e. on the shortest wavelength in the roughness spectrum. In the "fractal limit", i.e. for an infinite number of wavelength R → 0, there would be no stickiness for any surface, irrespective of the geometrical characteristics, like fractal dimension, or root mean square heigths (rms) amplitude. Hence, FT apparent good correlation with the theory despite the many limitations (see [14]), may have been due to a fortuitous choice of R at a

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Section: A Dmt Theory Based Criterionmentioning

confidence: 86%

Section: A Dmt Theory Based Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On stickiness of multiscale randomly rough surfaces

Violano

Afferrante

Papangelo

et al. 2019

The Journal of Adhesion

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“…first time in Ref. [17], is an advanced multiasperity based model, which showed to be quite accurate and efficient in predicting the main contact quantities of adhesiveless [12,18] and DMT-type adhesive [23][24][25] rough contacts.…”

Section: The Modelmentioning

confidence: 99%

“…In this work, adhesion is introduced in the Interacting and Coalescing Hertzian Asperities (ICHA) model [17,18], according to the JKR theory, as modified in Ref. [19] to take into account jump into contact instabilities occurring when the local gap falls below a critical value.…”

Section: Introductionmentioning

confidence: 99%

Modeling the Adhesive Contact of Rough Soft Media with an Advanced Asperity Model

Violano

Afferrante

2019

Tribol Lett

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Adhesive interactions strongly characterize the contact mechanics of soft bodies as they lead to large elastic deformations and contact instabilities.In this paper, we extend the Interacting and Coalescing Hertzian Asperities (ICHA) model to the case of adhesive contact. Adhesion is modeled according to an improved version of the Johnson, Kendall & Roberts (JKR) theory, in which jump-in contact instabilities are conveniently considered as well as the lateral interaction of the asperities and the coalescence of merging contact spots.Results obtained on complex fractal geometries with several length scales are accurate as demonstrated by the comparison with fully numerical simulations and experimental investigations taken from the literature. Also, the model quite well captures the distributions of the contact stresses, gaps, and contact spots.

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Constructing a honeycomb‐inspired Ni‐Co LDHs@CFs enhanced polymer composites with high strength, aging resistance and excellent anti‐wear for tribological applications

Zhu

Zhang

Fei

et al. 2023

J of Applied Polymer Sci

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The development of carbon fibers/polymer composites (CFPCs) has made a profound impact on varied application prospects in the transmission and braking fields, where interface engineering between fibers/matrix holds the key to co‐enhanced mechanical and tribological properties. Herein, we designed a honeycomb‐inspired Ni‐Co layered double hydroxides (Ni‐Co LDHs) modified CFPCs, in which Ni‐Co LDHs interconnected nanosheets were grown in‐situ onto the carbon fibers (CFs) surface via the oxidation‐assisted hydrothermal method, and then polymer matrix fully impregnate and filled with both the CFs and LDHs porous containers by capillary forces. Benefiting from the special interface, the Ni‐Co LDHs grafted CFs reinforced polymer composites (Ni‐Co LDHs@CFs composites) possessed the excellent mechanical strength and outstanding tribological properties. The LDHs@CFs composites had 32% improvement in the tensile strength, and 84.9% strength retention ratio after the hydrothermal aging process. Furthermore, the friction coefficient was increased by 24% and wear rate was dramatically decreased by 42% from 6.148 × 10−14 to 3.557 × 10−14 m3 (N m)−1, indicating better torque transmitting capacity and anti‐wear properties. This work could provide a valuable reference for the construction of biomimetic interface to simultaneously improve the mechanical and tribological properties of the CFPCs.

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Elastic Contact Mechanics of Randomly Rough Surfaces: An Assessment of Advanced Asperity Models and Persson’s Theory

Cited by 86 publications

References 44 publications

On stickiness of multiscale randomly rough surfaces

On stickiness of multiscale randomly rough surfaces

Modeling the Adhesive Contact of Rough Soft Media with an Advanced Asperity Model

Constructing a honeycomb‐inspired Ni‐Co LDHs@CFs enhanced polymer composites with high strength, aging resistance and excellent anti‐wear for tribological applications

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