A. , F. Adams, R. A. Fournier, and J. J. , Sobolev spaces, 2003.

P. Alart and A. Curnier, 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.

A. , E. Los-ojos-;-alcalá, J. Esqué-de-los-ojos, and D. , Reassessing spherical indentation: Contact regimes and mechanical property extractions, International Journal of Solids and Structures, vol.47, issue.20, pp.2714-2732, 2010.

J. Archard, Contact and rubbing of flat surfaces, Journal of applied physics, vol.24, issue.8, pp.981-988, 1953.

J. Archard, 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.

A. Azushima-;-azushima, 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.

A. Azushima, A. Azushima, and H. Kudo, 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.

. Azushima, 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.

F. P. Baaijens, 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.

L. Tong, M. Laird, and C. , 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.

J. Barber, 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.

[. Ba?ant, Why fracking works, Journal of Applied Mechanics, vol.81, issue.10, p.101010, 2014.

. Bazilevs, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Computational Mechanics, vol.38, issue.4-5, pp.310-322, 2006.

. Bazilevs, 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.

G. Beaurin, Modelisation and experimental study of residual stresses in Norem hardfacing coatings used in valve parts, 2012.
URL : https://hal.archives-ouvertes.fr/tel-00759346

[. Bech, Entrapment and escape of liquid lubricant in metal forming, Wear, vol.232, issue.2, pp.134-139, 1999.

. Besson, Non-linear mechanics of materials, 2009.

J. Besson and R. Foerch, Large scale object-oriented finite element code design, Computer methods in applied mechanics and engineering, vol.142, issue.1-2, pp.165-187, 1997.

T. ;. Bowden, F. P. Bowden, and D. Tabor, The friction and lubrication of solids, 2001.

A. Bower-;-bower, 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.

[. Brown, Applicability of the reynolds equation for modeling fluid flow between rough surfaces, Geophysical Research Letters, vol.22, issue.18, pp.2537-2540, 1995.

[. Budiansky, B. Budiansky, and R. J. O'connell, Elastic moduli of a cracked solid, International Journal of Solids and Structures, vol.12, issue.2, pp.81-97, 1976.

[. Bush, The elastic contact of a rough surface, Wear, vol.35, issue.1, pp.87-111, 1975.

M. Caligaris and G. A. Ateshian, 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.

[. Carbone, G. Bottiglione-;-carbone, and F. Bottiglione, 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.

[. Cavalieri, F. J. Cardona-;-cavalieri, and A. Cardona, 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.

[. Chan, 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.

[. Ciavarella, Inclusion of "interaction" in the greenwood and williamson contact theory, Wear, vol.265, issue.5, pp.729-734, 2008.

O. Coussy, , 2004.

P. Cuffey, K. M. Cuffey, and W. S. Paterson, The Physics of Glaciers, 2010.

[. Dapp, Self-affine elastic contacts: percolation and leakage, Physical Review Letters, vol.108, issue.24, p.244301, 2012.

M. Dapp, W. B. Dapp, and M. H. Müser, 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.

M. Dapp, W. B. Dapp, and M. H. Müser, Fluid leakage near the percolation threshold, Scientific Reports, vol.6, 2016.

[. Dapp, 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.

H. [de, A three-dimensional computational analysis of fluid-structure interaction in the aortic valve, Journal of Biomechanics, vol.36, issue.1, pp.103-112, 2003.

. Demkowicz, L. Oden-;-demkowicz, and J. Oden, On some existence and uniqueness results in contact problems with nonlocal friction, Nonlinear Analysis: Theory, Methods & Applications, vol.6, pp.1075-1093, 1982.

[. Donea, 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.

[. Dormieux, 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

J. Durand-;-durand, Multiscale Modelling of Contact of Rough Surfaces, 2012.

L. C. Evans-;-evans, Partial differential equations, 2010.

[. Farhat, 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.

[. Farhat, 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.

C. ;. Fischer, U. H. Fischer, and G. K. Clarke, Stick slip sliding behaviour at the base of a glacier, Annals of Glaciology, vol.24, pp.390-396, 1997.

D. I. Garagash and L. N. Germanovich, Nucleation and arrest of dynamic slip on a pressurized fault, Journal of Geophysical Research: Solid Earth, issue.B10, p.117, 2012.

J. Gerbeau and M. Vidrascu, 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

A. Gerstenberger and W. A. Wall, 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.

M. Gitterle, A dual mortar formulation for finite deformation frictional contact problems including wear and thermal coupling, 2012.

. Goryacheva, I. Shpenev-;-goryacheva, and A. Shpenev, 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.

J. Greenwood-;-greenwood, A simplified elliptic model of rough surface contact, Wear, vol.261, issue.2, pp.191-200, 2006.

W. Greenwood, J. Greenwood, and J. Williamson, Contact of nominally flat surfaces, Proceedings of the Royal Society of London A: Mathematical, vol.295, pp.300-319, 1966.

[. Hamrock, Fundamentals of fluid film lubrication, 2004.

C. Heegaard, J. Heegaard, and A. Curnier, 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.

M. Heil, 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.

M. Heil-;-heil, 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.

M. R. Hestenes, Multiplier and gradient methods, Journal of Optimization Theory and Applications, vol.4, issue.5, pp.303-320, 1969.

D. A. Hills, Mechanics of fretting fatigue, Wear, vol.175, issue.1-2, pp.107-113, 1994.

[. Hübner, 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.

S. Hüeber, Discretization techniques and efficient algorithms for contact problems, 2008.

[. Hyun, , 2004.

, Finite-element analysis of contact between elastic self-affine surfaces, Phys Rev E, vol.70, issue.2, p.26117

A. Ibrahimbegovic, Nonlinear solid mechanics: theoretical formulations and finite element solution methods, vol.160, 2009.

K. Issen and J. Rudnicki, Conditions for compaction bands in porous rock, Journal of Geophysical Research: Solid Earth, vol.105, issue.B9, pp.21529-21536, 2000.

[. Johnson, The contact of elastic regular wavy surfaces, Int J Mech Sci, vol.27, issue.6, pp.383-396, 1985.

K. L. Johnson, Contact mechanics, 1987.

N. Oden-;-kikuchi and J. T. Oden, Contact problems in elasticity: a study of variational inequalities and finite element methods, vol.8, 1988.

L. Kogut and I. Etsion, Elastic-plastic contact analysis of a sphere and a rigid flat, Journal of Applied Mechanics, vol.69, issue.5, pp.657-662, 2002.

A. Konyukhov and K. Schweizerhof, Computational Contact Mechanics: geometrically exact theory for arbitrary shaped bodies, vol.67, 2012.

J. Krim and G. Palasantzas, 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.

H. Kudo, 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.

U. Küttler and W. A. Wall, Fixed-point fluidstructure interaction solvers with dynamic relaxation, Computational Mechanics, vol.43, issue.1, pp.61-72, 2008.

Y. Kuznetsov, Effect of fluid lubricant on the contact characteristics of rough elastic bodies in compression, Wear, vol.102, issue.3, pp.177-194, 1985.

[. Luan, B. Robbins-;-luan, and M. O. Robbins, The breakdown of continuum models for mechanical contacts, Nature, vol.435, issue.7044, p.929, 2005.

[. Lurie, A. Belyaev-;-lurie, and A. Belyaev, Theory of elasticity. foundations of engineering mechanics, vol.10, pp.978-981, 1007.

A. I. Lurie, A. Majumdar, and B. Bhushan, Fractal model of elastic-plastic contact between rough surfaces, Journal of Tribology, vol.36, issue.1, pp.1-11, 1991.

G. Manners, W. Manners, and J. A. Greenwood, Some observations on Persson's diffusion theory of elastic contact, Wear, vol.261, pp.600-610, 2006.

M. , L. Marie, C. Lasseux, and D. , Experimental leak-rate measurement through a static metal seal, Journal of fluids engineering, vol.129, issue.6, pp.799-805, 2007.

[. Matsuda, Real contact area and friction property of rubber with two-dimensional regular wavy surface, Tribology International, vol.93, pp.523-529, 2016.

. Matthies, H. G. Steindorf-;-matthies, and J. Steindorf, Partitioned strong coupling algorithms for fluid-structure interaction, Computers & structures, pp.805-812, 2003.

[. Mayer, 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.

. Mesarovic, S. D. Fleck-;-mesarovic, and N. A. Fleck, 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.

[. Michler, 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

I. Mittal, R. Mittal, and G. Iaccarino, Immersed boundary methods, Annu. Rev. Fluid Mech, vol.37, pp.239-261, 2005.

. Mróz, Z. Stupkiewicz-;-mróz, and S. Stupkiewicz, An anisotropic friction and wear model, International Journal of Solids and Structures, vol.31, issue.8, pp.1113-1131, 1994.

H. K. Müller and B. S. Nau, Fluid Sealing Technology: Principles and Applictions. M. Dekker, 1998.

N. I. Muskhelishvili-;-muskhelishvili, Some basic problems of the mathematical theory of elasticity, 2013.

P. R. Nayak, Random process model of rough surfaces, J Lubr Technol (ASME), vol.93, pp.398-407, 1971.

. Nellemann, Real area of contact and friction stress-the role of trapped lubricant, Wear, vol.43, issue.1, pp.45-53, 1977.

M. Paggi and Q. He, 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

. Païdoussis, Fluidstructure interactions: cross-flow-induced instabilities, 2010.

[. Pei, Finite element modeling of elasto-plastic contact between rough surfaces, Journal of the Mechanics and Physics of Solids, vol.53, pp.2385-2409, 2005.

. Pérez-ràfols, Modelling of leakage on metal-to-metal seals, Tribology International, vol.94, pp.421-427, 2016.

. Perrin, G. Leblond-;-perrin, and J. Leblond, Rudnicki and rice's analysis of strain localization revisited, Journal of Applied Mechanics, vol.60, issue.4, pp.842-846, 1993.

B. Persson, 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.

[. Persson, Elastic contact mechanics: Percolation of the contact area and fluid squeeze-out, The European Physical Journal E, vol.35, issue.1, p.5, 2012.

Y. ;. Persson, B. Persson, and C. Yang, Theory of the leak-rate of seals, Journal of Physics: Condensed Matter, vol.20, issue.31, p.315011, 2008.

B. N. Persson, Theory of rubber friction and contact mechanics, The Journal of Chemical Physics, vol.115, issue.8, pp.3840-3861, 2001.

C. S. Peskin, The immersed boundary method, Acta Numerica, vol.11, pp.479-517, 2002.

C. Pietrzak, G. Pietrzak, and A. Curnier, 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.

[. Ponson, 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

V. L. Popov, Contact Mechanics and Friction: Physical Principles and Applications, 2010.

A. Popp-;-popp, Mortar methods for computational contact mechanics and general interface problems, 2012.

M. J. Powell-;-powell, A method for nonlinear constraints in minimization problems, Proceedings of a Symposium of the Insitute of Mathematics and its Applications, pp.283-298, 1968.

W. L. Power and T. E. Tullis, 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.

[. Prodanov, 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.

[. Prodanov, Contact mechanics of laser-textured surfaces, Tribology Letters, vol.50, issue.1, pp.41-48, 2013.

. Proudhon, 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

M. A. Puso, A 3D mortar method for solid mechanics, International Journal for Numerical Methods in Engineering, vol.59, issue.3, pp.315-336, 2004.

[. Puso, 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.

L. Puso, M. A. Puso, and T. A. Laursen, 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.

L. Puso, M. A. Puso, and T. A. Laursen, A mortar segmentto-segment frictional contact method for large deformations, Computer methods in applied mechanics and engineering, vol.193, pp.4891-4913, 2004.

[. Putignano, 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.

M. ;. Resende, L. Resende, and J. B. Martin, Formulation of drucker-prager cap model, Journal of Engineering Mechanics, vol.111, issue.7, pp.855-881, 1985.

J. Rice, Elastic fracture mechanics concepts for interfacial cracks, Journal of Applied Mechanics, vol.55, issue.1, pp.98-103, 1988.

J. Rice and G. C. Sih, Plane problems of cracks in dissimilar media, Journal of Applied Mechanics, vol.32, issue.2, pp.418-423, 1965.

R. T. Rockafellar, 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.

[. Sahlin, 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.

M. Scaraggi and B. Persson, Time-dependent fluid squeeze-out between soft elastic solids with randomly rough surfaces, Tribology letters, vol.47, issue.3, pp.409-416, 2012.

[. Sergeant, 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

. Shvarts, Computational framework for monolithic coupling for thin fluid flow in contact interfaces, 2019.

Y. Shvarts, A. G. Shvarts, and V. A. Yastrebov, 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

Y. Shvarts, A. G. Shvarts, and V. A. Yastrebov, 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

J. C. Simo and T. Laursen, An augmented lagrangian treatment of contact problems involving friction, Computers & Structures, vol.42, issue.1, pp.97-116, 1992.

[. ?i?ka, 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.

. Soltz, 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.

D. Spence-;-spence, The hertz contact problem with finite friction, Journal of elasticity, vol.5, issue.3-4, pp.297-319, 1975.

S. Stupkiewicz, 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.

S. Stupkiewicz, Finite element treatment of soft elastohydrodynamic lubrication problems in the finite deformation regime, Computational Mechanics, vol.44, issue.5, pp.605-619, 2009.

S. Stupkiewicz, 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.

[. Stupkiewicz, Finite deformation effects in soft elastohydrodynamic lubrication problems, Tribology International, vol.93, pp.511-522, 2016.

S. Stupkiewicz and A. Marciniszyn, Elastohydrodynamic lubrication and finite configuration changes in reciprocating elastomeric seals, Tribology International, vol.42, issue.5, pp.615-627, 2009.

S. Stupkiewicz and Z. Mróz, A model of third body abrasive friction and wear in hot metal forming, Wear, vol.231, issue.1, pp.124-138, 1999.

. Suarez-rivera, Indentation by pore collapse in porous rocks, The 31th US Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association, 1990.

[. Tada, The stress analysis of cracks. Handbook, 1973.

. Takashi, N. Hughes-;-takashi, and T. J. Hughes, 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.

T. R. Thomas-;-thomas, Rough Surfaces, 1999.

C. Truesdell-;-truesdell, Mechanics of Solids, Linear Theories of Elasticity and Thermoelasticity, vol.II, 1984.

[. Tur, 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.

C. ;. Utku, M. Utku, and G. F. Carey, Boundary penalty techniques, Computer Methods in Applied Mechanics and Engineering, vol.30, issue.1, pp.103-118, 1982.

. Vakis, Modeling and simulation in tribology across scales: An overview, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01802145

. Vallet and C. Vallet, 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

. Van-loon, 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.

R. ;. Viesca, R. C. Viesca, and J. R. Rice, Nucleation of slipweakening rupture instability in landslides by localized increase of pore pressure, Journal of Geophysical Research: Solid Earth, issue.B3, p.117, 2012.

[. Wackers, Freesurface viscous flow solution methods for ship hydrodynamics, Archives of Computational Methods in Engineering, vol.18, issue.1, pp.1-41, 2011.

H. M. Westergaard, Bearing pressures and cracks, Journal of Applied Mechanics, vol.6, issue.2, pp.49-53, 1939.

[. Whitehouse and D. J. Whitehouse, Handbook of surface and nanometrology, 2010.

B. I. Wohlmuth, 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.

P. Wriggers, Computational Contact Mechanics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00466790

P. Wriggers-;-wriggers, Nonlinear finite element methods, 2008.

Y. , L. Yang, B. Laursen, and T. A. , A mortar-finite element approach to lubricated contact problems, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.47, pp.3656-3669, 2009.

V. A. Yastrebov, Numerical methods in contact mechanics, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00785235

V. A. Yastrebov-;-yastrebov, The elastic contact of rough spheres investigated using a deterministic multi-asperity model, Journal of Multiscale Modelling, p.1841002, 2018.

[. Yastrebov, Contact between representative rough surfaces, Phys Rev E, vol.86, issue.3, p.35601, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00750394

[. Yastrebov, 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

[. Yastrebov, 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

[. Yastrebov, 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

[. Yastrebov, 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

Y. , C. Yu, B. Cheng, and P. , 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.

T. ;. Zienkiewicz, O. C. Zienkiewicz, and R. L. Taylor, The finite element method, 1977.