The steady-state Archard adhesive wear problem revisited based on the phase field approach to fracture

Carollo, Valerio; Paggi, Marco; Reinoso, J.

doi:10.1007/s10704-018-0329-0

Cited by 18 publications

(9 citation statements)

References 32 publications

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Section: Positive-hydrostatic Modelmentioning

confidence: 65%

“…The results from Carollo et al [26] are also reported in Figure 4, blue and red crosses respectively denoting small and large particle formation. Authors [26] used a phase-field formulation which differs from ours for the splitting of the elastic strain energy, as well as slightly different boundary conditions. The number of available simulations is not large enough for us to properly compare the outcomes of the two studies, however we do notice a certain agreement in the prediction of small particle formation whereas results tend to disagree when large particles are detached.…”

Section: Positive-hydrostatic Modelmentioning

confidence: 65%

“…Notwithstanding those key advantages, very few works can however be found in literature on the topic of wear. Particularly noteworthy is the recent contribution [26], where a phase-field fracture model was used to simulate crack patterns in adhesive junctions: results suggested a dependence of the wear process on the geometry of the junction, although the performed simulations did not cover a large enough parameter space to provide exhaustive conclusions. This is further investigated in the present paper, whose main contribution is twofold.…”

Section: Introductionmentioning

confidence: 99%

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Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions

Collet,

Molinari,

Brach

2020

Preprint

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Wear is well known for causing material loss in a sliding interface. Available macroscopic approaches are bound to empirical fitting parameters, which range several orders of magnitude. Major advances in tribology have recently been achieved via Molecular Dynamics, although its use is strongly limited by computational cost. Here, we propose a study of the physical processes that lead to wear at the scale of the surface roughness, where adhesive junctions are formed between the asperities on the surface of the materials. Using a brittle formulation of the variational phase-field approach to fracture, we demonstrate that the failure mechanisms of an adhesive junction can be linked to its geometry. By imposing specific couplings between the damage and the elastic energy, we further investigate the triggering processes underlying each failure mechanism. We show that a large debris formation is mostly triggered by tensile stresses while shear stresses lead to small or no particle formation. We also study groups of junctions and discuss how microcontact interactions can be favored in some geometries to form macro-particles. This leads us to propose a classification in terms of macroscopic wear rate. Although based on a continuum approach, our phase-field calculations are able to effectively capture the failure of adhesive junctions, as observed through discrete Molecular Dynamics simulations.

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Section: Positive-hydrostatic Modelmentioning

confidence: 65%

Section: Positive-hydrostatic Modelmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

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Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions

Collet,

Molinari,

Brach

2020

Preprint

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“…Carollo et al [ 71 ] applied the phase field model for fractures to simulate the crack pattern leading to debris formation in a triangular asperity junction model. They found two failure modes: (1) a crack nucleated at the contact boarder (small wear particle), and (2) a crack nucleated at the root of the triangular asperity (large wear particle), depending on the dominant power of the stress-singularity there.…”

Section: Modeling Adhesive Wear At Asperity Levelmentioning

confidence: 99%

Modeling Adhesive Wear in Asperity and Rough Surface Contacts: A Review

2022

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Wear is one of the most fundamental topics in tribology and adhesive wear is argued as the least avoidable wear type. Numerical techniques have allowed advances in more realistic simulations of adhesive wear mechanisms and promoted our understanding of it. This paper reviews the classic work on wear modeling by Archard and Rabinowicz, followed by a comprehensive summary of the adhesive wear numerical models and techniques based on physical parameters. The studies on wear mechanisms at the asperity level and rough surfaces are separately presented. Different models and their key findings are presented according to the method type. The advantages and deficiencies of these models are stated and future work, such as considering more realistic geometries and material properties for adhesive wear modeling, is suggested.

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“…In particular due to the over-complicated geometry and content of concrete at multi-scales, in Figure 8 an example for PF modeling of water-induced failure mechanics in concrete microstructure is presented. In recent years, several brittle [ 259 , 260 , 261 , 262 , 263 , 264 , 265 , 266 , 267 , 268 , 269 , 270 , 271 , 272 , 273 , 274 , 275 , 276 , 277 , 278 , 279 , 280 , 281 , 282 , 283 , 284 , 285 , 286 , 287 , 288 , 289 , 290 , 291 , 292 , 293 , 294 , 295 , 296 ] and ductile [ 149 , 297 , 298 , 299 , 300 , 301 , 302 , 303 , 304 , 305 , 306 , 307 , 308 ...…”

Section: Phase-field Modeling For Fracture Mechanismsmentioning

confidence: 99%

A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery

et al. 2020

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Improving the durability and sustainability of concrete structures has been driving the enormous number of research papers on self-healing mechanisms that have been published in the past decades. The vast developments of computer science significantly contributed to this and enhanced the various possibilities numerical simulations can offer to predict the entire service life, with emphasis on crack development and cementitious self-healing. The aim of this paper is to review the currently available literature on numerical methods for cementitious self-healing and fracture development using Phase-Field (PF) methods. The PF method is a computational method that has been frequently used for modeling and predicting the evolution of meso- and microstructural morphology of cementitious materials. It uses a set of conservative and non-conservative field variables to describe the phase evolutions. Unlike traditional sharp interface models, these field variables are continuous in the interfacial region, which is typical for PF methods. The present study first summarizes the various principles of self-healing mechanisms for cementitious materials, followed by the application of PF methods for simulating microscopic phase transformations. Then, a review on the various PF approaches for precipitation reaction and fracture mechanisms is reported, where the final section addresses potential key issues that may be considered in future developments of self-healing models. This also includes unified, combined and coupled multi-field models, which allow a comprehensive simulation of self-healing processes in cementitious materials.

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The steady-state Archard adhesive wear problem revisited based on the phase field approach to fracture

Cited by 18 publications

References 32 publications

Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions

Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions

Modeling Adhesive Wear in Asperity and Rough Surface Contacts: A Review

A Review on Cementitious Self-Healing and the Potential of Phase-Field Methods for Modeling Crack-Closing and Fracture Recovery

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