From infinitesimal to full contact between rough surfaces: Evolution of the contact area

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Atomistic simulations performed with a family of model potential with tunable hardness have proven to be a great tool for advancing the understanding of wear processes at the asperity level. They have been instrumental in finding a critical length scale, w ...

Decision-making permeates every aspect of human and societal development, from individuals' daily choices to the complex decisions made by communities and institutions. Central to effective decision-making is the discipline of optimization, which seeks th ...

When two objects slide against each other, wear and friction occur at their interface. The accumulation of wear forms what is commonly referred to as a ``third-body''. Understanding third-body evolution has significant applications in industry, where contr ...

We investigate the propagation of fluid-driven fault slip on a slip-weakening frictional interface separating two identical half-spaces of a three-dimensional elastic solid. Our focus is on axisymmetric circular shear ruptures as they capture the most esse ...

Friction and wear occur at every interface between solid materials. In the design of mechanical devices, it is desirable to be able to quantify and control the amount of friction and wear, as well as predict their evolution with time. ``Tribology'' is the ...

When two rough surfaces slide against each other, two main behaviors can be observed at the asperity level: A ductile behavior where the asperities tend to smooth out or a brittle behavior where the asperities detach and form debris. Recently, a critical l ...

We present a novel method to perform numerical integration over curved polyhedra enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a set of triangular and/or rectangular pyramids, whose certain faces correspond to the g ...

We develop an analytical model of adhesive wear between two unlubricated rough surfaces, forming micro-contacts under normal load. The model is based on an energy balance and a crack initiation criteria. We apply the model to the problem of self-affine rou ...

In this thesis we explore uncertainty quantification of forward and inverse problems involving differential equations. Differential equations are widely employed for modeling natural and social phenomena, with applications in engineering, chemistry, meteor ...

In concrete structures, opened cracks contribute significantly to the transfer of shear and normal stresses through the contact forces occurring between fractured surfaces. Such contact forces are due to protruding asperities, engaged by interlocking and f ...

The Portevin- Le Chatelier effect in an AlCu/Al2O3 composite with a large volume fraction (60%) of ceramic particles is investigated from a numerical point of view using a strainageing visco-plastic material model for the metallic matrix and several differ ...

All mechanical systems, naturally occurring or human-produced, are subjected to friction and wear at the interface of solid constituents. Large portions of energy dissipation and loss of material, in every-day life and industrial applications alike, are du ...

The flow of a thin film coating the underside of an inclined substrate is studied. We measure experimentally spatial growth rates and compare them to the linear stability analysis of a flat film modelled by the lubrication equation. When forced by a statio ...

The wear volume is known to keep increasing during frictional processes, and Archard notably proposed a model to describe the probability of wear particle formation upon asperity collision in a two-body contact configuration. While this model is largely ad ...

Mechanical watches are complex and sensitive systems that have to maintain a faultless precision over their lifetime. However, this precision can be altered by disturbances occurring during the functioning time, such as friction, lubricant drying, or wear, ...

Most natural and man-made surfaces appear to be rough on many length scales. There is presently no unifying theory of the origin of roughness or the self-affine nature of surface topography. One likely contributor to the formation of roughness is deformati ...

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition point both increase ...

Friction and wear depend critically on surface roughness and its evolution with time. An accurate control of roughness is essential to the performance and durability of virtually all engineering applications. At geological scales, roughness along tectonic ...

The detachment of material in an adhesive wear process is driven by a fracture mechanism which is controlled by a critical length-scale. Previous efforts in multi-asperity wear modeling have applied this microscopic process to rough elastic contact. Howeve ...

In this paper, we consider unilateral contact problem without friction between a rigid body and deformable one in the framework of isogeometric analysis. We present the theoretical analysis of the mixed problem. For the displacement, we use the pushforward ...

From infinitesimal to full contact between rough surfaces: Evolution of the contact area

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A story of two transitions: From adhesive to abrasive wear and from ductile to brittle regime

Reliable data-driven decision-making through optimal transport

Modeling friction and wear using an adaptive discrete-continuum coupling

Fluid-driven slow slip and earthquake nucleation on a slip-weakening circular fault

Modeling the origins of adhesive wear across scales

Understanding the mechanisms of adhesive wear for heterogeneous materials through atomistic simulations

Robust numerical integration on curved polyhedra based on folded decompositions

Adhesive wear regimes on rough surfaces and interaction of micro-contacts

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

Multi-scale modeling of aggregate interlock phenomena in concrete

Finite element simulation of the Portevin-Le Chatelier effect in highly reinforced metal matrix composites

Bridging scales in wear modeling with volume integral methods for elastic-plastic contact

Instability of a thin viscous film flowing under an inclined substrate: steady patterns

A mechanistic model for the growth of cylindrical debris particles in the presence of adhesion

Tribological Approach to the Watch Movements

The emergence of small-scale self-affine surface roughness from deformation

Jamming with Tunable Roughness

Emergence of self-affine surfaces during adhesive wear

Crack Nucleation in the Adhesive Wear of an Elastic-Plastic Half-Space

A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis