A novel methodology to predict sliding and rolling friction of viscoelastic materials: Theory and experiments

Carbone, Giuseppe; Putignano, Carmine

doi:10.1016/j.jmps.2013.03.005

Cited by 157 publications

(168 citation statements)

References 39 publications

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“…The proposed periodic formulation provides original tools to explore a wide range of contact problems in the presence of layered bodies and enables us to overcome some of the limitations of the formulations proposed in Refs. [3] and [52]. Therefore, the newly developed algorithm has been used to perform a systematic investigation of a variety of contact problems characterised by layered elastic and viscoelastic materials subjected to various loads and sliding speeds.…”

Section: Discussionmentioning

confidence: 99%

“…A viscoelastic Green's function G V (x, v) has been introduced and the problem has been solved by means of the same techniques available for elastic contacts ( [3]). …”

Section: Formulationmentioning

confidence: 99%

“…[3] it is shown that the viscoelastic Green's function G V (x, v) can be calculated using Eq. (3) as Periodicity has to be therefore implemented.…”

Section: Formulationmentioning

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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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: Discussionmentioning

confidence: 99%

“…A viscoelastic Green's function G V (x, v) has been introduced and the problem has been solved by means of the same techniques available for elastic contacts ( [3]). …”

Section: Formulationmentioning

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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“…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.…”

Section: Introductionmentioning

confidence: 63%

“…This problem assumes heavy proportions in the case of sliding or rolling contact between rough surfaces. Furthermore, the very large number of length and time scales involved in the problem makes FE models unsuitable due to the current computational resources [1].…”

Section: Introductionmentioning

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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Computational homogenization of soft matter friction: Isogeometric framework and elastic boundary layers

Temizer

2014

Numerical Meth Engineering

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Cataloged from PDF version of article.A computational contact homogenization framework is established for the modeling and simulation of soft\ud matter friction. The main challenges toward the realization of the framework are (1) the establishment of\ud a frictional contact algorithm that displays an optimal combination of accuracy, efficiency, and robustness\ud and plays a central role in (2) the construction of a micromechanical contact test within which samples\ud of arbitrary size may be embedded and which is not restricted to a single deformable body. The former\ud challenge is addressed through the extension of mixed variational formulations of contact mechanics to\ud a mortar-based isogeometric setting where the augmented Lagrangian approach serves as the constraint\ud enforcement method. The latter challenge is addressed through the concept of periodic embedding, with\ud which a periodically replicated C1-continuous interface topography is realized across which not only pending\ud but also ensuing contact among simulation cells will be automatically captured. Two-dimensional\ud and three-dimensional investigations with unilateral/bilateral periodic/random roughness on two elastic\ud micromechanical samples demonstrate the overall framework and the nature of the macroscopic frictional\ud response. Copyright © 2014 John Wiley & Sons, Ltd

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A novel methodology to predict sliding and rolling friction of viscoelastic materials: Theory and experiments

Cited by 157 publications

References 39 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

Computational homogenization of soft matter friction: Isogeometric framework and elastic boundary layers

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