Sobolev spaces, 2003. ,
A mixed formulation for frictional contact problems prone to newton like solution methods, Computer methods in applied mechanics and engineering, vol.92, issue.3, pp.353-375, 1991. ,
Reassessing spherical indentation: Contact regimes and mechanical property extractions, International Journal of Solids and Structures, vol.47, issue.20, pp.2714-2732, 2010. ,
Contact and rubbing of flat surfaces, Journal of applied physics, vol.24, issue.8, pp.981-988, 1953. ,
Elastic deformation and the laws of friction, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.243, pp.190-205, 1957. ,
Fem analysis of hydrostatic pressure generated within lubricant entrapped into pocket on workpiece surface in upsetting process, Journal of Tribology, vol.122, issue.4, pp.822-827, 2000. ,
Direct observation of contact behaviour to interpret the pressure dependence of the coefficient of friction in sheet metal forming, CIRP Annals -Manufacturing Technology, vol.44, issue.1, pp.209-212, 1995. ,
Permeation of lubricant trapped within pocket into real contact area on the end surface of cylinder, Journal of Tribology, vol.133, issue.1, p.11501, 2011. ,
A fictitious domain/mortar element method for fluid-structure interaction, International Journal for Numerical Methods in Fluids, vol.35, issue.7, pp.743-761, 2001. ,
Overview of fatigue behavior in copper single crystals -I. Surface morphology and stage I crack initiation sites for tests at constant strain amplitude, Acta Metallurgica, vol.37, issue.2, pp.325-336, 1989. ,
Bounds on the electrical resistance between contacting elastic rough bodies, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.459, pp.53-66, 2003. ,
Why fracking works, Journal of Applied Mechanics, vol.81, issue.10, p.101010, 2014. ,
Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics, vol.38, issue.4-5, pp.310-322, 2006. ,
3d simulation of wind turbine rotors at full scale. part ii: Fluid-structure interaction modeling with composite blades, International Journal for Numerical Methods in Fluids, vol.65, issue.1-3, pp.236-253, 2011. ,
Modelisation and experimental study of residual stresses in Norem hardfacing coatings used in valve parts, 2012. ,
URL : https://hal.archives-ouvertes.fr/tel-00759346
Entrapment and escape of liquid lubricant in metal forming, Wear, vol.232, issue.2, pp.134-139, 1999. ,
Non-linear mechanics of materials, 2009. ,
Large scale object-oriented finite element code design, Computer methods in applied mechanics and engineering, vol.142, issue.1-2, pp.165-187, 1997. ,
The friction and lubrication of solids, 2001. ,
The influence of crack face friction and trapped fluid on surface initiated rolling contact fatigue cracks, Journal of Tribology, vol.110, issue.4, pp.704-711, 1988. ,
Applicability of the reynolds equation for modeling fluid flow between rough surfaces, Geophysical Research Letters, vol.22, issue.18, pp.2537-2540, 1995. ,
Elastic moduli of a cracked solid, International Journal of Solids and Structures, vol.12, issue.2, pp.81-97, 1976. ,
The elastic contact of a rough surface, Wear, vol.35, issue.1, pp.87-111, 1975. ,
Effects of sustained interstitial fluid pressurization under migrating contact area, and boundary lubrication by synovial fluid, on cartilage friction, Osteoarthritis and Cartilage, vol.16, issue.10, pp.1220-1227, 2008. ,
Asperity contact theories: Do they predict linearity between contact area and load, Journal of the Mechanics and Physics of Solids, vol.56, pp.2555-2572, 2008. ,
An augmented lagrangian technique combined with a mortar algorithm for modelling mechanical contact problems, International Journal for Numerical Methods in Engineering, vol.93, issue.4, pp.420-442, 2013. ,
The role of lubricant entrapment at biological interfaces: Reduction of friction and adhesion in articular cartilage, Journal of Biomechanics, vol.44, issue.11, pp.2015-2020, 2011. ,
Inclusion of "interaction" in the greenwood and williamson contact theory, Wear, vol.265, issue.5, pp.729-734, 2008. ,
, , 2004.
The Physics of Glaciers, 2010. ,
Self-affine elastic contacts: percolation and leakage, Physical Review Letters, vol.108, issue.24, p.244301, 2012. ,
Contact mechanics of and reynolds flow through saddle points: On the coalescence of contact patches and the leakage rate through near-critical constrictions, Europhysics Letters), vol.109, issue.4, p.44001, 2015. ,
Fluid leakage near the percolation threshold, Scientific Reports, vol.6, 2016. ,
Systematic analysis of persson's contact mechanics theory of randomly rough elastic surfaces, Journal of Physics: Condensed Matter, vol.26, issue.35, p.355002, 2014. ,
A three-dimensional computational analysis of fluid-structure interaction in the aortic valve, Journal of Biomechanics, vol.36, issue.1, pp.103-112, 2003. ,
On some existence and uniqueness results in contact problems with nonlocal friction, Nonlinear Analysis: Theory, Methods & Applications, vol.6, pp.1075-1093, 1982. ,
An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982. ,
Micromechanical approach to the behavior of poroelastic materials, Journal of the Mechanics and Physics of Solids, vol.50, issue.10, pp.2203-2231, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00140491
Multiscale Modelling of Contact of Rough Surfaces, 2012. ,
Partial differential equations, 2010. ,
Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter, Computers & Fluids, vol.32, issue.1, pp.3-29, 2003. ,
Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.95-114, 1998. ,
Stick slip sliding behaviour at the base of a glacier, Annals of Glaciology, vol.24, pp.390-396, 1997. ,
Nucleation and arrest of dynamic slip on a pressurized fault, Journal of Geophysical Research: Solid Earth, issue.B10, p.117, 2012. ,
A quasi-newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.4, pp.631-647, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00071895
An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.1699-1714, 2008. ,
A dual mortar formulation for finite deformation frictional contact problems including wear and thermal coupling, 2012. ,
Modelling of a punch with a regular base relief sliding along a viscoelastic foundation with a liquid lubricant, Journal of Applied Mathematics and Mechanics, vol.76, issue.5, pp.582-589, 2012. ,
A simplified elliptic model of rough surface contact, Wear, vol.261, issue.2, pp.191-200, 2006. ,
Contact of nominally flat surfaces, Proceedings of the Royal Society of London A: Mathematical, vol.295, pp.300-319, 1966. ,
, Fundamentals of fluid film lubrication, 2004.
An augmented lagrangian method for discrete large-slip contact problems, International Journal for Numerical Methods in Engineering, vol.36, issue.4, pp.569-593, 1993. ,
Stokes flow in an elastic tube -a large-displacement fluidstructure interaction problem, International Journal for Numerical Methods in Fluids, vol.28, issue.2, pp.243-265, 1998. ,
An efficient solver for the fully coupled solution of largedisplacement fluid-structure interaction problems, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.1-2, pp.1-23, 2004. ,
Multiplier and gradient methods, Journal of Optimization Theory and Applications, vol.4, issue.5, pp.303-320, 1969. ,
Mechanics of fretting fatigue, Wear, vol.175, issue.1-2, pp.107-113, 1994. ,
A monolithic approach to fluid-structure interaction using space-time finite elements, Computer Methods in Applied Mechanics and Engineering, vol.193, pp.2087-2104, 2004. ,
Discretization techniques and efficient algorithms for contact problems, 2008. ,
, , 2004.
, Finite-element analysis of contact between elastic self-affine surfaces, Phys Rev E, vol.70, issue.2, p.26117
Nonlinear solid mechanics: theoretical formulations and finite element solution methods, vol.160, 2009. ,
Conditions for compaction bands in porous rock, Journal of Geophysical Research: Solid Earth, vol.105, issue.B9, pp.21529-21536, 2000. ,
The contact of elastic regular wavy surfaces, Int J Mech Sci, vol.27, issue.6, pp.383-396, 1985. ,
Contact mechanics, 1987. ,
Contact problems in elasticity: a study of variational inequalities and finite element methods, vol.8, 1988. ,
Elastic-plastic contact analysis of a sphere and a rigid flat, Journal of Applied Mechanics, vol.69, issue.5, pp.657-662, 2002. ,
Computational Contact Mechanics: geometrically exact theory for arbitrary shaped bodies, vol.67, 2012. ,
Experimental observations of self-affine scaling and kinetic roughening at sub-micron lengthscales, International Journal of Modern Physics B, vol.9, pp.599-632, 1995. ,
A note on the role of microscopically trapped lubricant at the tool-work interface, International Journal of Mechanical Sciences, vol.7, issue.5, pp.383-388, 1965. ,
Fixed-point fluidstructure interaction solvers with dynamic relaxation, Computational Mechanics, vol.43, issue.1, pp.61-72, 2008. ,
Effect of fluid lubricant on the contact characteristics of rough elastic bodies in compression, Wear, vol.102, issue.3, pp.177-194, 1985. ,
The breakdown of continuum models for mechanical contacts, Nature, vol.435, issue.7044, p.929, 2005. ,
Theory of elasticity. foundations of engineering mechanics, vol.10, pp.978-981, 1007. ,
Fractal model of elastic-plastic contact between rough surfaces, Journal of Tribology, vol.36, issue.1, pp.1-11, 1991. ,
Some observations on Persson's diffusion theory of elastic contact, Wear, vol.261, pp.600-610, 2006. ,
Experimental leak-rate measurement through a static metal seal, Journal of fluids engineering, vol.129, issue.6, pp.799-805, 2007. ,
Real contact area and friction property of rubber with two-dimensional regular wavy surface, Tribology International, vol.93, pp.523-529, 2016. ,
Partitioned strong coupling algorithms for fluid-structure interaction, Computers & structures, pp.805-812, 2003. ,
3d fluid-structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach, Computational Mechanics, vol.46, issue.1, pp.53-67, 2010. ,
Spherical indentation of elastic-plastic solids, In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.455, pp.2707-2728, 1999. ,
A monolithic approach to fluid-structure interaction, Computers & fluids, vol.33, issue.5-6, pp.839-848, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00450614
Immersed boundary methods, Annu. Rev. Fluid Mech, vol.37, pp.239-261, 2005. ,
An anisotropic friction and wear model, International Journal of Solids and Structures, vol.31, issue.8, pp.1113-1131, 1994. ,
, Fluid Sealing Technology: Principles and Applictions. M. Dekker, 1998.
Some basic problems of the mathematical theory of elasticity, 2013. ,
Random process model of rough surfaces, J Lubr Technol (ASME), vol.93, pp.398-407, 1971. ,
Real area of contact and friction stress-the role of trapped lubricant, Wear, vol.43, issue.1, pp.45-53, 1977. ,
Evolution of the free volume between rough surfaces in contact, Wear, vol.336, pp.86-95, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01167763
, Fluidstructure interactions: cross-flow-induced instabilities, 2010.
Finite element modeling of elasto-plastic contact between rough surfaces, Journal of the Mechanics and Physics of Solids, vol.53, pp.2385-2409, 2005. ,
Modelling of leakage on metal-to-metal seals, Tribology International, vol.94, pp.421-427, 2016. ,
Rudnicki and rice's analysis of strain localization revisited, Journal of Applied Mechanics, vol.60, issue.4, pp.842-846, 1993. ,
Fluid dynamics at the interface between contacting elastic solids with randomly rough surfaces, Journal of Physics: Condensed Matter, vol.22, issue.26, p.265004, 2010. ,
Elastic contact mechanics: Percolation of the contact area and fluid squeeze-out, The European Physical Journal E, vol.35, issue.1, p.5, 2012. ,
Theory of the leak-rate of seals, Journal of Physics: Condensed Matter, vol.20, issue.31, p.315011, 2008. ,
Theory of rubber friction and contact mechanics, The Journal of Chemical Physics, vol.115, issue.8, pp.3840-3861, 2001. ,
The immersed boundary method, Acta Numerica, vol.11, pp.479-517, 2002. ,
Large deformation frictional contact mechanics: continuum formulation and augmented lagrangian treatment, Computer Methods in Applied Mechanics and Engineering, vol.177, issue.3-4, pp.351-381, 1999. ,
Anisotropic self-affine properties of experimental fracture surfaces, Int J Fracture, vol.140, issue.1, pp.27-37, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00016452
Contact Mechanics and Friction: Physical Principles and Applications, 2010. ,
Mortar methods for computational contact mechanics and general interface problems, 2012. ,
A method for nonlinear constraints in minimization problems, Proceedings of a Symposium of the Insitute of Mathematics and its Applications, pp.283-298, 1968. ,
Euclidean and fractal models for the description of rock surface roughness, Journal of Geophysical Research: Solid Earth, vol.96, issue.B1, pp.415-424, 1991. ,
On the contact area and mean gap of rough, elastic contacts: Dimensional analysis, numerical corrections, and reference data, Tribol Lett, vol.53, pp.433-448, 2014. ,
Contact mechanics of laser-textured surfaces, Tribology Letters, vol.50, issue.1, pp.41-48, 2013. ,
A fretting crack initiation prediction taking into account the surface roughness and the crack nucleation process volume, International Journal of fatigue, vol.27, issue.5, pp.569-579, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00180854
A 3D mortar method for solid mechanics, International Journal for Numerical Methods in Engineering, vol.59, issue.3, pp.315-336, 2004. ,
A segment-tosegment mortar contact method for quadratic elements and large deformations, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.6-8, pp.555-566, 2008. ,
A mortar segmentto-segment contact method for large deformation solid mechanics, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6, pp.601-629, 2004. ,
A mortar segmentto-segment frictional contact method for large deformations, Computer methods in applied mechanics and engineering, vol.193, pp.4891-4913, 2004. ,
The influence of the statistical properties of self-affine surfaces in elastic contacts: A numerical investigation, Journal of the Mechanics and Physics of Solids, vol.60, pp.973-982, 2012. ,
Formulation of drucker-prager cap model, Journal of Engineering Mechanics, vol.111, issue.7, pp.855-881, 1985. ,
Elastic fracture mechanics concepts for interfacial cracks, Journal of Applied Mechanics, vol.55, issue.1, pp.98-103, 1988. ,
Plane problems of cracks in dissimilar media, Journal of Applied Mechanics, vol.32, issue.2, pp.418-423, 1965. ,
The multiplier method of hestenes and powell applied to convex programming, Journal of Optimization Theory and applications, vol.12, issue.6, pp.555-562, 1973. ,
A mixed lubrication model incorporating measured surface topography. part 2: roughness treatment, model validation, and simulation. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, vol.224, issue.4, pp.353-365, 2010. ,
Time-dependent fluid squeeze-out between soft elastic solids with randomly rough surfaces, Tribology letters, vol.47, issue.3, pp.409-416, 2012. ,
Numerical modeling of iceberg capsizing responsible for glacial earthquakes, Machine Intelligence and Pattern Recognition, vol.19, pp.1-30, 1996. ,
URL : https://hal.archives-ouvertes.fr/hal-01943050
Computational framework for monolithic coupling for thin fluid flow in contact interfaces, 2019. ,
Fluid flow across a wavy channel brought in contact, Tribology International, vol.126, pp.116-126, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01802143
Trapped fluid in contact interface, Journal of the Mechanics and Physics of Solids, vol.119, pp.140-162, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01853388
An augmented lagrangian treatment of contact problems involving friction, Computers & Structures, vol.42, issue.1, pp.97-116, 1992. ,
Finite element simulations of the cyclic elastoplastic behaviour of copper thin films. Modelling and Simulation in, Materials Science and Engineering, vol.15, issue.1, p.217, 2006. ,
Hydrostatic pressurization and depletion of trapped lubricant pool during creep contact of a rippled indenter against a biphasic articular cartilage layer, Journal of biomechanical engineering, vol.125, issue.5, pp.585-593, 2003. ,
The hertz contact problem with finite friction, Journal of elasticity, vol.5, issue.3-4, pp.297-319, 1975. ,
Extension of the node-to-segment contact element for surface-expansion-dependent contact laws, International Journal for Numerical Methods in Engineering, vol.50, issue.3, pp.739-759, 2001. ,
Finite element treatment of soft elastohydrodynamic lubrication problems in the finite deformation regime, Computational Mechanics, vol.44, issue.5, pp.605-619, 2009. ,
Finite wear and soft elasto-hydrodynamic lubrication: Beyond the classical frictional contact of soft solids, Contact Modeling for Solids and Particles, vol.585, pp.125-176, 2018. ,
Finite deformation effects in soft elastohydrodynamic lubrication problems, Tribology International, vol.93, pp.511-522, 2016. ,
Elastohydrodynamic lubrication and finite configuration changes in reciprocating elastomeric seals, Tribology International, vol.42, issue.5, pp.615-627, 2009. ,
A model of third body abrasive friction and wear in hot metal forming, Wear, vol.231, issue.1, pp.124-138, 1999. ,
Indentation by pore collapse in porous rocks, The 31th US Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association, 1990. ,
The stress analysis of cracks. Handbook, 1973. ,
An arbitrary lagrangian-eulerian finite element method for interaction of fluid and a rigid body, Computer Methods in Applied Mechanics and Engineering, vol.95, issue.1, pp.115-138, 1992. ,
Rough Surfaces, 1999. ,
Mechanics of Solids, Linear Theories of Elasticity and Thermoelasticity, vol.II, 1984. ,
A mortar-based frictional contact formulation for large deformations using lagrange multipliers, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.2860-2873, 2009. ,
Boundary penalty techniques, Computer Methods in Applied Mechanics and Engineering, vol.30, issue.1, pp.103-118, 1982. ,
Modeling and simulation in tribology across scales: An overview, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01802145
Liquid leakage through a rough contact: application to the internal sealing of valves, Arts et Métiers ParisTech, 2008. ,
URL : https://hal.archives-ouvertes.fr/pastel-00004539
A fluid-structure interaction method with solid-rigid contact for heart valve dynamics, Journal of Computational Physics, vol.217, issue.2, pp.806-823, 2006. ,
Nucleation of slipweakening rupture instability in landslides by localized increase of pore pressure, Journal of Geophysical Research: Solid Earth, issue.B3, p.117, 2012. ,
Freesurface viscous flow solution methods for ship hydrodynamics, Archives of Computational Methods in Engineering, vol.18, issue.1, pp.1-41, 2011. ,
Bearing pressures and cracks, Journal of Applied Mechanics, vol.6, issue.2, pp.49-53, 1939. ,
Handbook of surface and nanometrology, 2010. ,
A mortar finite element method using dual spaces for the lagrange multiplier, SIAM Journal on Numerical Analysis, vol.38, issue.3, pp.989-1012, 2000. ,
Computational Contact Mechanics, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00466790
Nonlinear finite element methods, 2008. ,
A mortar-finite element approach to lubricated contact problems, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.47, pp.3656-3669, 2009. ,
Numerical methods in contact mechanics, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00785235
The elastic contact of rough spheres investigated using a deterministic multi-asperity model, Journal of Multiscale Modelling, p.1841002, 2018. ,
Contact between representative rough surfaces, Phys Rev E, vol.86, issue.3, p.35601, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00750394
From infinitesimal to full contact between rough surfaces: evolution of the contact area, International Journal of Solids and Structures, vol.52, pp.83-102, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01113725
On the accurate computation of the true contact-area in mechanical contact of random rough surfaces, Tribology International, vol.114, pp.161-171, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01518514
The role of the roughness spectral breadth in elastic contact of rough surfaces, Journal of the Mechanics and Physics of Solids, vol.107, pp.469-493, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01599693
Rough surface contact analysis by means of the finite element method and of a new reduced model, CR Mecanique, vol.339, pp.473-490, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00624090
A fractal permeability model for bi-dispersed porous media, International Journal of Heat and Mass Transfer, vol.45, issue.14, pp.2983-2993, 2002. ,
, Non-linear material and structure analysis suite, version 9.0. MINES ParisTech and Onera, the French Aerospace Lab, 2019.
The finite element method, 1977. ,