Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

Rey, Véronique; Anciaux, Guillaume; Molinari, Jean‐François

doi:10.1007/s00466-017-1392-5

Cited by 58 publications

(51 citation statements)

References 29 publications

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“…In general, the criteria (27) and (29) work well to predict the transitions of behavior, and the transition between the separated and combined debris formation is especially well matched by the MD simulations.…”

Section: Molecular Dynamicsmentioning

confidence: 83%

“…The stress and strain tensors σ(x i , z j ) and ε(x i , z j ) are evaluated using a code based on the application of Green's functions defined for a tangential point load applied at the surface of a semi-infinite medium. 26,27 The comparison of the results from the BEM with the analytical expression of E el,Nq is shown in Fig. 8.…”

Section: Boundary Element Methodsmentioning

confidence: 99%

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Adhesive wear and interaction of tangentially loaded micro-contacts

Pham-Ba

Brink

Molinari

2020

International Journal of Solids and Structures

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Current engineering wear models are often based on empirical parameters rather than built upon physical considerations. Here, we look for a physical description of adhesive wear at the microscale, at which the interaction between two surfaces comes down to the contact of asperities. Recent theoretical work has shown that there is a critical micro-contact size above which it becomes energetically favorable to form a wear particle. We extend this model by taking into consideration the elastic interaction of multiple nearby micro-contacts in 2D, with different sizes and separation distances. Fundamental contact mechanics solutions are used to evaluate the elastic energy stored by shearing the micro-contacts, and the stored energy is compared to the energy needed to detach a single joined debris particle or multiple debris particles under the micro-contacts. Molecular dynamics simulations are used to test the predictions of the outcome for various sets of parameters. Our model provides simple criteria to evaluate the energetic feasibility of the different wear formation scenarios. Those criteria can be used to rationalize the transition between mild and severe wear regimes and help define the notion of asperity.

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Section: Molecular Dynamicsmentioning

confidence: 83%

Section: Boundary Element Methodsmentioning

confidence: 99%

Adhesive wear and interaction of tangentially loaded micro-contacts

Pham-Ba

Brink

Molinari

2020

International Journal of Solids and Structures

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“…A detailed review can be found in [12]. Three-dimensional numerical methods, in particular the boundary element method have been recently very frequently used to simulate the pull-off process of adhesive contact of different indenters, for example based on the JKR-model (Johnson, Kendall and Roberts) by Pohrt and Popov (2015) [13], or using the Dugdale potential by Bazrafshan et al (2017) [14], and by Molibari et al (2017) [15]. In this paper we will use the method of [13] to simulate adhesive contacts of the cluster system.…”

Section: Figmentioning

confidence: 99%

Adhesive Force of Flat Indenters With Brush-Structure

Popov

2018

FU Mech Eng

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Abstract. We have numerically studied adhesive contact between a flat indenter with brush structure and an elastic half space using the boundary element method. Various surface structures with different size, number and shape of the "pillars", as well as their distributions (regular or random) have been investigated. The results validate the theoretical prediction that the adhesive force in contact of an indenter with discontinuous areas is roughly proportional to the square root of the real contact density ("filling factor").

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“…The minimization problem above is then solved using a constrained conjugate gradient approach; see, e.g., [26,30]. Finally, we recall that model P L h is an approximation of model P L , so that solutions to these problems may dier due to the discretization error.…”

Section: Discretization Of the Truncated Modelmentioning

confidence: 99%

Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method

Rey

Krumscheid

Nobile

2019

International Journal of Engineering Science

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We quantify the eect of uncertainties on quantities of interest related to contact mechanics of rough surfaces. Specically, we consider the problem of frictionless non adhesive normal contact between two semi innite linear elastic solids subject to uncertainties. These uncertainties may for example originate from an incomplete surface description. To account for surface uncertainties, we model a rough surface as a suitable Gaussian random eld whose covariance function encodes the surface's roughness, which is experimentally measurable. Then, we introduce the multilevel Monte Carlo method which is a computationally ecient sampling method for the computation of the expectation and higher statistical moments of uncertain system output's, such as those derived from contact simulations. In particular, we consider two dierent quantities of interest, namely the contact area and the number of contact clusters, and show via numerical experiments that the multilevel Monte Carlo method oers signicant computational gains compared to an approximation via a classic Monte Carlo sampling.

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Normal adhesive contact on rough surfaces: efficient algorithm for FFT-based BEM resolution

Cited by 58 publications

References 29 publications

Adhesive wear and interaction of tangentially loaded micro-contacts

Adhesive wear and interaction of tangentially loaded micro-contacts

Adhesive Force of Flat Indenters With Brush-Structure

Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel Monte Carlo method

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