Thursday, 11 March 2021Speaker: Dr. Lucas FrérotJohns Hopkins University, Baltimore, USA Roles of Roughness in Tribology |
Abstract
Roughness is an inevitable part of virtually all tribological systems, and often dominates the frictional [1] and wear [2,3] responses of solid interfaces. The present seminar aims to picture selected effects of roughness on wear of elastoplastic materials and on the friction response of fatty acid coatings. We first discuss the development of an efficient numerical method for the modeling of elastic-plastic rough contact. Because self-affine surfaces have no separation of scales, very fine meshes at the contact interface are necessary. Fourier-based boundary integral approaches have proved superior to FEM in elastic contact, but are not appropriate for plastic constitutive modeling. We therefore develop a Fourier-based volume integral method [4] which performs about 200 times faster than FEM in elastic-plastic contact [5]. This new high-performance method allows the investigation of the impact of plasticity on the wear of ductile materials. We discuss in particular how plasticity can increase the likelihood of crack nucleation in the vicinity of contacts [6]. We also discuss the role of roughness in frictional systems composed of self-assembled monolayers of stearic acid molecules. This fatty acid compound is often used in applications where reduced friction is necessary. The experimental works of Dr. Juliette Cayer-Barrioz and her group [7] have shown that these friction layers exhibit rate-and-state frictional properties: the dynamic friction force depends on the sliding velocity, the static friction force depends on the resting time of the interface, and the interface has a memory length-scale characteristic of rate-and-state friction. We will show with nano-scale molecular dynamics that roughness plays a fundamental role in the emergence of these features.
Biography
Dr. Lucas Frérot is a postdoctoral fellow at Johns Hopkins University, currently working with professors J. Al-Awady and V. Nguyen, previously with professor Mark Robbins before his passing. Dr. Frérot recieved his PhD in 2020 under the supervision of prof. Jean-François Molinari and Dr. Guillaume Anciaux at École Polytechnique Fédérale de Lausanne. His PhD work on numerical methods and modeling of rough contact and wear was awarded with the EPFL Outstanding PhD Thesis Distinction in Civil and Environmental Engineering. Dr. Frérot holds a Master of Science degree in civil engineering (2015). Dr. Frérot’s work revolves around modeling tribological phenomena, such as friction and wear, at rough contact interfaces. His current work aims to uncover rate-dependencies of nano-scale wear mechanisms in polymer glasses, for which he was awarded a Swiss National Science Foundation fellowship, as well as to identify the underlying physics of rate-and-state friction in self-assembled monolayers of fatty acids. This latter work is the fruit of a collaboration with an experimental group led by Dr. Cayer-Barrioz of École Centrale Lyon.
References
- J. H. Dieterich, B. D. Kilgore.
Direct observation of frictional contacts: New insights for statedependent properties.
PAGEOPH. 143, 283–302, 1994. - L. Frérot, R. Aghababaei, J-F. Molinari.
A mechanistic understanding of the wear coefficient: From single to multiple asperities contact.
J. Mech. Phys. Solids. 114, 172–184, 2018. - N. T. Garabedian, A. Bhattacharjee, M. N. Webster, G. L. Hunter,
P. W. Jacobs, A. R. Konicek, D. L. Burris.
Quantifying, Locating, and Following Asperity-Scale Wear Processes Within Multiasperity Contacts.
Tribol. Lett.67, 89, 2019. - L. Frérot, M. Bonnet, J-F. Molinari, G. Anciaux.
A Fourier-accelerated volume integral method for elastoplastic contact.
Comput. Meth. Appl. Mech. Eng. 351, 951–976, 2019. - L. Frérot, G. Anciaux, V. Rey, S. Pham-Ba, J-F. Molinari.
Tamaas: A library for elastic-plastic contact of periodic rough surfaces.
J. Open Source Softw. 5(51), 2121, 2020. - L. Frérot, G. Anciaux, J-F. Molinari.
Crack nucleation in the adhesive wear of an elastic-plastic half-space.
J. Mech. Phys. Solids. 145, 104100, 2020. - A. Crespo, N. Morgado, D. Mazuyer, J. Cayer-Barrioz.
Effect of Unsaturation on the Adsorption and the Mechanical Behavior of Fatty Acid Layers.
Langmuir. 34(15), 4560–4567, 2018.
Notes
by Arnaud Coq and Bertrand Leturcq- The interest in wear and friction phenomena lies in their great importance among world energy dissipation (26%). These phenomena occur at every scale, from km to nano-sacle. Two simple model exist to model these phenomena: Amontons-Coulomb friction law and Archard wear law. These models are not predictive, and are dependent on normal force but not contact area. Friction is highly influenced by the roughness, its topology and anisotropy. [8]
- Roughness is a scale-free phenomenon, meaning that there is no scale that determines the roughness of a surface. Wear and friction are not scale free phenomena. To model friction and wear, two approaches are complementary: continuum modeling and atomistic modeling. Continuum modeling for bridging macro-scale to micro-scale of roughness and atomistic to explore micro-scale physics of wear and friction.
- FFT-based (Fourier) boundary integrals are used to model elastic contact with multi-scale roughness. A solution program to model elasto-plastic rough contact interface can be separated in 2 parts: elastic contact part that iterates to find new contact pressure, and a plasticity part which converges to an updated plastic deformation. Tamaas, an open-source code (C++) has been developed.
- Focus has been done on crack nucleation stress, and more specifically on the probability that a micro-contact in rough contact interface will have a crack in its vicinity, and effect of plasticity on this probability. The asperities local fracture mechanism is influenced by the roughness topology of course and also by the local plasticity, which intensifies the under skin stresses [9] and consequently crack nucleation . This leads to counter intuitive result: the more ductile the material is, the more local fracture and thus wear are probable. Less effect of shear in plastic case has been found, because of saturation of stress due to plasticity at surface.
- Fatty acid coatings and their friction properties have show experimental aging phenomena. They can be used to decrease the friction coefficient at a sliding interface. An overshoot response has been observed when subjected to a sliding force followed by a resting time. This aging dynamics has been studied and atomistic modeling could reproduce very well this overshoot response and the linear dependency between tangential force step and resting time.
Other readings
- E. E. Brodsky, J. D. Kirkpatrick, T. Candela.
Constraints from fault roughness on the scale-dependent strength of rocks.
Geology. 44 (1): 19-22, 2016. - J. Boussinesq.
Application des potentiels à l'étude de l'équilibre et du mouvement des solides élastiques, principalement au calcul des déformations et des pression que produisent, dans ces solides, des efforts quelconques exercés sur une petite partie de leur surface ou de leur intérieur.
1885.
LMS seminars on related topics
- 26/11/2020, Prof. Jean-François Molinari , Toward a mechanistic understanding of adhesive wear