A multiscale analysis of elastic contacts and percolation threshold for numerically generated and real rough surfaces

Putignano, Carmine; Afferrante, L.; Carbone, Giuseppe; Demelio, G.

doi:10.1016/j.triboint.2013.03.010

Cited by 59 publications

(58 citation statements)

References 44 publications

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“…(4) following the iterative procedure described in [33,34,48], the discretization step must be carefully selected: this must be much smaller than the correlation length for the specific layer thickness under investigation.…”

Section: Formulationmentioning

confidence: 99%

“…The variety of the proposed techniques includes finite element methods (FEM) ( [56]), boundary elements methods (BEM) ( [54], [33], [27], [47]), molecular dynamics simulations ( [62], [61], [63]) and hybrid approaches ( [64], [65]). In all these cases, getting the full numerical convergence is a crucial point that deeply influences the reliability of the results (see [48] for a detailed discussion). The actual relation between real contact area and load has been, for example, widely debated since, as shown in [48], it strongly depends on the capability of converging.…”

Section: Introductionmentioning

confidence: 99%

“…In all these cases, getting the full numerical convergence is a crucial point that deeply influences the reliability of the results (see [48] for a detailed discussion). The actual relation between real contact area and load has been, for example, widely debated since, as shown in [48], it strongly depends on the capability of converging. All these issues are mainly due to the large number of length scales (covering several order of magnitudes) involved in the rough contact.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mechanics of rough contacts in elastic and viscoelastic thin layers

Putignano

Carbone

Dini

2015

International Journal of Solids and Structures

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Contact mechanics between rough solids usually relies on the half-space approximation, which assumes that the contact area dimension is much smaller than the thickness of the layers of materials that characterise the surfaces of the contacting bodies. However, such simplifying assumption is often inadequate when industrially relevant applications are considered, in particular those of biomechanical interest. Indeed, a large variety of systems, including not only classical engineering applications such as gear boxes, shafts, tyres, etc., but also biological tissues such as human skin, is characterised by superficial coatings; very often the mechanical properties of these coatings are very different from those of the bulk region of the bodies in contact. The aim of this paper is to shed light on the role played by the thickness of the layer of material used as a coating, with specific focus on the contact between a rigid rough surface and a thin deformable layer bonded to a rigid substrate. * Corresponding author. Phone: +44 020 7594 7064Email address: c.putignano12@imperial.ac.uk (C. Putignano) Preprint submitted to International Journal of Solids and Structures March 25, 2015Starting from a recently developed Boundary Element formulation (Carbone and Putignano, 2013), we derive a methodology which accounts for finite thickness by a corrective coefficient modulating the classical Greens function, and extends our analyses to periodic domains. This enables to avoid border effects and provides an innovative tool to tackle viscoelastic contacts with realistic roughness. This is exploited to perform a thorough investigation of the mechanisms responsible for frictional losses in layered systems characterised by different materials, thickness and loading conditions. Results show that decreasing the layer thickness corresponds to an increase in the contact stiffness. Furthermore, in the case of viscoelastic layer, particular attention has to be paid to the changes in the viscoelastic dissipation due to the finite thickness of the surface layer.

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Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mechanics of rough contacts in elastic and viscoelastic thin layers

Putignano

Carbone

Dini

2015

International Journal of Solids and Structures

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“…Here, we underline that, once a time-independent formulation is introduced, the problem can be solved by employing the same approach already developed for the linear elastic rough contact problem studied in ( [35], [36], [37]). …”

Section: Numerical Formulationmentioning

confidence: 99%

A theoretical and experimental study of viscoelastic rolling contacts incorporating thermal effects

Putignano

Rouzic

Reddyhoff

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part J:

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Viscoelastic contacts are present in countless industrial components including tires, dampers and rubber seals. The effective design of such components requires a full knowledge of viscoelastic contact mechanics in terms of stresses, strains and hysteric dissipation. To assess some of these issues, this paper describes a series of experiments on the contact area and penetration in a rolling contact between a nitrile rubber ball and a glass disk. The experimental results are compared with the theory proposed by Carbone and Putignano in [1] showing close agreement at low speeds. However, discrepancies arise at speeds above 100 mm/s because of the frictional heating. In order to evaluate this effect, the temperature of the sliding interface is measured for different rolling speeds using infrared microscopy. Thermal results showed that interfacial temperature remained constant at low rolling speeds before rising significantly when speeds above 100 mm/s were reached. These temperature effects are incorporated into the numerical simulations by means of an approximated approach, which corrects the viscoelastic modulus based on the mean measured temperature in the contact. The result of this approach is to extend the region of agreement between experimental and numerical agreement to higher speeds.

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“…Indeed, the sliding or rolling contact between rough surfaces involves a very large number of spatial and time scales (covering more than six orders of magnitude), provoking a huge increase of computational cost and making conventional numerical techniques, including finite-element (FE) solvers, unfeasible for this type of investigations. For these reasons, specially designed numerical boundary element methodologies have been developed to address the rough contact problem [1,17,[20][21][22][23][24][25]. On the other hand, different approximate analytic approaches have been proposed to deal with this type of problems, which belong mainly to two categories: (i) mean-field theories [3,5,6,26] and (ii) multi-asperity models [27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

The sliding contact of a rigid wavy surface with a viscoelastic half-space

et al. 2014

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In this paper, the contact of a rigid sinusoid sliding on a viscoelastic half-space is studied. The solution of the problem is obtained by following the path drawn by Hunter for cylindrical contacts. Results show that depending on the remote applied load, a transition from full contact conditions to partial contact may occur depending on the sliding velocity. This effect, which is not observed in smooth single asperity contacts, is related to the viscoelastic stiffening of the material and to the periodicity of the contacts. Frictional properties as well as contact area, displacement and pressure distributions are discussed in detail.

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A multiscale analysis of elastic contacts and percolation threshold for numerically generated and real rough surfaces

Cited by 59 publications

References 44 publications

Mechanics of rough contacts in elastic and viscoelastic thin layers

Mechanics of rough contacts in elastic and viscoelastic thin layers

A theoretical and experimental study of viscoelastic rolling contacts incorporating thermal effects

The sliding contact of a rigid wavy surface with a viscoelastic half-space

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