Finite deformations govern the anisotropic shear-induced area reduction of soft elastic contacts

Lengiewicz, Jakub; Souza, Mariana de Jesus de; Lahmar, Mustapha; Courbon, C.; Dalmas, Davy; Stupkiewicz, S.; Scheibert, Julien

doi:10.1016/j.jmps.2020.104056

Cited by 51 publications

(33 citation statements)

References 31 publications

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“…Also, it has been shown [33] that, of the two main assumptions of the LEFM treatment of frictional adhesion-namely the singularity of shear stresses and the absence of dissipation in the contact-only the second plays a relevant role for the physical description. Lengiewicz et al [34] successfully attributed the shear-induced contact area reduction in soft elastic materials to contact lifting due to finite deformations and non-linear elasticity. However, our results could be used to analyze an adhesive microcontact in more detail.…”

Section: Discussionmentioning

confidence: 99%

First yield in the Maugis‐adhesive contact of elastic spheres

Leroy

Willert

2021

Z Angew Math Mech

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We analyze the onset of plastic yield in the Maugis-adhesive contact of elastic spheres. Written in proper dimensionless variables, the problem solution depends on Poisson's ratio, the Tabor parameter and a non-dimensional adhesion strength. The influences of adhesion range and strength are studied in detail. First yield can either occur inside the bodies on the axis of symmetry (for long range adhesion) or at the contact boundary (for short range adhesion). Adhesion significantly reduces the external load necessary to initiate plastic yield. A simple analytic solution for the critical load in the DMT-limit of adhesion is being derived. Our results are quantitatively similar to previously published findings based on the double Hertz model of adhesion and can for example be applied to study an adhesive spherical microcontact in the contact of rough surfaces.

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Section: Discussionmentioning

confidence: 99%

First yield in the Maugis‐adhesive contact of elastic spheres

Leroy

Willert

2021

Z Angew Math Mech

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“…al. [19] have found that the observed contact area reduction for a PDMS rubber sphere in contact with a glass surface can be explained by a theory based on non-linear elasticity without invoking adhesion! They found quantitative agreement with the recent experimental results of Sahli et.…”

Section: Discussionmentioning

confidence: 99%

“…al. [16,17,19] on sphere-plane elastomer contacts, without adjustable parameters, using the neo-Hookean hyperelastic model. The importance of elastic nonlinearity for the explanation of the contact area reduction have been suggested by us in some earlier papers in particular the Tribology Letters [20].…”

Section: Discussionmentioning

confidence: 99%

Sphere and cylinder contact mechanics during slip

Wang

Tiwari

Sivebæk

et al. 2020

Journal of the Mechanics and Physics of Solids

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Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastic block (cylinder) with a cos(q0x) surface height profile is sliding in adhesive contact on a rigid flat substrate. The atoms on the block interact with the substrate atoms by Lennard-Jones (LJ) potentials, and we consider both commensurate and (nearly) incommensurate contacts. For the incommensurate system the friction force fluctuates between positive and negative values, with an amplitude proportional to the sliding speed, but with the average close to zero. For the commensurate system the (time-averaged) friction force is much larger and nearly velocity independent. For both type of systems the width of the contact region is velocity independent even when, for the commensurate case, the frictional shear stress increases from zero (before sliding) to ≈ 0.1 MPa during sliding. This frictional shear stress, and the elastic modulus used, are typical for Polydimethylsiloxan (PDMS) rubber sliding on a glass surface, and we conclude that the reduction in the contact area observed in some experiments when increasing the tangential force must be due to effects not included in our model study, such as viscoelasticity or elastic nonlinearity.

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“…In an interesting study Lengiewicz et al [20] have found that the observed contact area reduction for a PDMS rubber sphere in contact with a glass surface can be explained by a theory based on nonlinear elasticity without invoking adhesion. They found quantitative agreement with the recent experimental results of Sahli et al [17,18,20] on sphere-plane elastomer contacts, without adjustable parameters, using the neo-Hookean hyperelastic model. The importance of elastic nonlinearity for the explanation of the contact area reduction have been suggested by us in some earlier papers, in particular, in Ref.…”

Section: Discussionmentioning

confidence: 99%

Cylinder–flat-surface contact mechanics during sliding

Wang

Tiwari²,

Persson³

et al. 2020

Phys. Rev. E

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Finite deformations govern the anisotropic shear-induced area reduction of soft elastic contacts

Cited by 51 publications

References 31 publications

First yield in the Maugis‐adhesive contact of elastic spheres

First yield in the Maugis‐adhesive contact of elastic spheres

Sphere and cylinder contact mechanics during slip

Cylinder–flat-surface contact mechanics during sliding

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