Corrigendum to “The role of the roughness spectral breadth in elastic contact of rough surfaces” Journal of the Mechanics and Physics of Solids, Volume 107, pages 469-493

A novel static friction model for the unlubricated contact of random rough surfaces at micro/nano scale is presented. This model is based on the energy dissipation mechanism that states that changes in the potential of the surfaces in contact lead to friction. Furthermore, it employs the statistical theory of two nominally flat rough surfaces in contact, which assumes that the contact between the equivalent rough peaks and the rigid flat plane satisfies the condition of interfacial friction. Additionally, it proposes a statistical coefficient of positional correlation that represents the contact situation between the equivalent rough surface and the rigid plane. Finally, this model is compared with the static friction model established by Kogut and Etsion (KE model). The results of the proposed model agree well with those of the KE model in the fully elastic contact zone. For the calculation of dry static friction of rough surfaces in contact, previous models have mainly been based on classical contact mechanics; however, this model introduces the potential barrier theory and statistics to address this and provides a new way to calculate unlubricated friction for rough surfaces in contact.

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The Elastic Contact of Rough Spheres Investigated Using a Deterministic Multi-Asperity Model

Journal of Multiscale Modelling ◽

10.1142/s1756973718410020 ◽

2019 ◽

Vol 10 (01) ◽

pp. 1841002 ◽

Cited By ~ 1

Author(s):

Vladislav A. Yastrebov

Keyword(s):

Contact Area ◽

Rough Surfaces ◽

Contact Problems ◽

Hertzian Contact ◽

Contact Radius ◽

Geometrical Shape ◽

Elastic Contact ◽

Deterministic Analysis ◽

Asperity Model ◽

Deformation Modes

In this paper, we use a deterministic multi-asperity model to investigate the elastic contact of rough spheres. Synthetic rough surfaces with controllable spectra were used to identify individual asperities, their locations and curvatures. The deterministic analysis enables to capture both particular deformation modes of individual rough surfaces and also statistical deformation regimes, which involve averaging over a big number of roughness realizations. Two regimes of contact area growth were identified: the Hertzian regime at light loads at the scale of a single asperity, and the linear regime at higher loads involving multiple contacting asperities. The transition between the regimes occurs at the load which depends on the second and the fourth spectral moments. It is shown that at light indentation the radius of circumference delimiting the contact area is always considerably larger than Hertzian contact radius. Therefore, it suggests that there is no scale separation in contact problems at light loads. In particular, the geometrical shape cannot be considered separately from the surface roughness at least for approaching greater than one standard roughness deviation.

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Fibrillar adhesion with no clusterisation: Functional significance of material gradient along adhesive setae of insects

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.5.95 ◽

2014 ◽

Vol 5 ◽

pp. 837-845 ◽

Cited By ~ 36

Author(s):

Stanislav N Gorb ◽

Alexander E Filippov

Keyword(s):

Numerical Experiment ◽

Material Properties ◽

Crucial Role ◽

Functional Significance ◽

Rough Surfaces ◽

Adhesive System ◽

Evolutionary Optimization ◽

Fibrillar Adhesion

It has been recently demonstrated that adhesive tarsal setae of beetles possess material gradients along their length. These gradients presumably represent an evolutionary optimization enhancing the adaptation to rough surfaces while simultaneously preventing clusterisation of the setae by lateral collapse. The numerical experiment of the present study has clearly demonstrated that gradient-bearing fibers with short soft tips and stiff bases have greater advantage in maximizing adhesion and minimizing clusterisation in multiple attachment–detachment cycles, if compared to the fibers with longer soft tips on the stiff bases and fibers with stiff tips on the soft bases. This study not only manifests the crucial role of gradients in material properties along the setae in beetle fibrillar adhesive system, but predicts that similar gradients must have been convergently evolved in various lineages of arthropods.

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Strongly Anisotropic Rough Surfaces

Journal of Lubrication Technology ◽

10.1115/1.3453271 ◽

1979 ◽

Vol 101 (1) ◽

pp. 15-20 ◽

Cited By ~ 90

Author(s):

A. W. Bush ◽

R. D. Gibson ◽

G. P. Keogh

Keyword(s):

Random Process ◽

Rough Surface ◽

Contact Area ◽

Process Model ◽

Rough Surfaces ◽

Plasticity Index ◽

Real Contact Area ◽

Elastic Contact ◽

Elastic Plastic ◽

Real Contact

The statistics of a strongly anisotropic rough surface are briefly described. The elastic contact of rough surfaces is treated by approximating the summits of a random process model by parabolic ellipsoids and applying the Hertzian solution for their deformation. Load and real contact area are derived as functions of the separation and for all separations the load is found to be approximately proportional to the contact area. The limits of elastic/plastic contact are discussed in terms of the plasticity index.

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The accuracy of plane strain models for the elastic contact of three-dimensional rough surfaces

Wear ◽

10.1016/0043-1648(83)90067-4 ◽

1983 ◽

Vol 85 (2) ◽

pp. 239-256 ◽

Cited By ~ 20

Author(s):

H.A. Francis

Keyword(s):

Plane Strain ◽

Rough Surfaces ◽

Three Dimensional ◽

Elastic Contact

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Optimization of Industrial Centrifugal Compressors: Part 6A — Studies in Component Performance — Eight Design Cases From 1972 to 1982

Volume 1: Turbomachinery ◽

10.1115/86-gt-221 ◽

1986 ◽

Cited By ~ 2

Author(s):

David Japikse ◽

Colin Osborne

Keyword(s):

Product Development ◽

Design Optimization ◽

Rough Surfaces ◽

Critical Role ◽

Centrifugal Compressors ◽

Test Procedures ◽

Overall Performance ◽

Leading Edges

The design optimization procedures, used over a period of ten years for a series of compressor designs, are reviewed. Overall performance and test procedures are detailed in Part 6A. The results of detailed interstage measurements are presented and discussed in Part 6B. The critical role of the laboratory in successful product development is illustrated (6B). Manufacturing procedures (castings vs. machining, thick leading edges, rough surfaces, etc.) are shown to significantly influence performance.

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