Hydrodynamic lubrication of textured steel surfaces under reciprocating sliding conditions, Tribology International, vol.40, issue.8, pp.1227-1238, 2007. ,
Re-visiting the contact patch test, International Journal for Numerical Methods in Engineering, vol.48, issue.3, pp.435-449, 2000. ,
A theory of friction, International Journal of Solids and Structures, vol.20, pp.637-647, 1984. ,
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, vol.109, p.44001, 2015.
Fluid leakage near the percolation threshold, Scientific reports, p.6, 2016. ,
A large deformation frictional contact formulation using NURBS-based isogeometric analysis, International Journal for Numerical Methods in Engineering, vol.87, issue.13, pp.1278-1300, 2011. ,
, Isogeometric contact : a review, vol.37, pp.85-123, 2014.
Fatigue modelling in fretting contact with a crystal plasticity model, Computational Materials Science, vol.43, issue.1, pp.36-42, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00312041
Fretting modelling with a crystal plasticity model of Ti6Al4V, Computational Materials Science, vol.38, issue.1, pp.113-125, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00133520
Earthquake nucleation on faults with rate-and state-dependent strength, Tectonophysics, vol.211, issue.1-4, pp.115-134, 1992. ,
Direct observation of frictional contacts : New insights for state-dependent properties, Pure and Applied Geophysics, vol.143, issue.1-3, pp.283-302, 1994. ,
Three-dimensional modeling of indent-induced plastic zone at a mesoscale, Acta materialia, vol.46, issue.17, pp.6183-6194, 1998. ,
Mechanics of generalized continua : construction by homogenizaton, Le Journal de Physique IV, vol.8, issue.PR4, pp.4-39, 1998. ,
A finite surface element model for plane-strain elastic contact, Wear, vol.76, issue.2, pp.221-245, 1982. ,
The accuracy of plane strain models for the elastic contact of three-dimensional rough surfaces, Wear, vol.85, issue.2, pp.239-256, 1983. ,
A finite surface element model for two concentric nearly circular rings in partial contact, Computers & Structures, vol.17, issue.2, pp.169-176, 1983. ,
A fourier-accelerated volume integral method for elastoplastic contact, Computer Methods in Applied Mechanics and Engineering, vol.351, pp.951-976, 2019. ,
A fast and efficient contact algorithm for fretting problems applied to fretting modes i, ii and iii, Wear, vol.268, issue.1-2, pp.208-222, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00514514
An fft-based transient flash temperature model for general three-dimensional rough surface contacts, Transactions-ASME Journal Of Tribology, vol.122, issue.3, pp.519-523, 2000. ,
Lattice rotation patterns and strain gradient effects in face-centered-cubic single crystals under spherical indentation, Journal of Applied Mechanics, vol.82, issue.6, p.61007, 2015. ,
Friction and fracture, Nature, issue.6853, p.285, 2001. ,
Finite deformation frictional mortar contact using a semi-smooth newton method with consistent linearization, International Journal for Numerical Methods in Engineering, vol.84, issue.5, pp.543-571, 2010. ,
Velocity dependence of atomic friction, Physical Review Letters, vol.84, issue.6, p.1172, 2000. ,
, Fundamentals of Friction and Wear on the Nanoscale, 2015.
Crystallographic plasticity in fretting of ti-6al-4v, International Journal of Plasticity, vol.19, issue.10, pp.1627-1650, 2003. ,
The stress field created by a circular sliding contact, Asme J. appl. mech, vol.33, issue.2, pp.371-376, 1966. ,
The plastic yielding of metal junctions due to combined shear and pressure, Journal of the Mechanics and Physics of Solids, vol.2, issue.3, pp.197-211, 1954. ,
A note on nayak's third paper, Contact micromécanique, vol.262, issue.1-2, p.45, 2007. ,
Constriction resistance and the real area of contact, British Journal of Applied Physics, vol.17, issue.12, p.1621, 1966. ,
The elastic contact of rough spheres, Journal of Applied Mechanics, vol.34, issue.1, pp.153-159, 1967. ,
Contact of nominally flat surfaces, vol.295, pp.300-319, 1966. ,
Deformation properties of friction junctions, Proceedings of the Physical Society. Section B, vol.68, issue.9, p.609, 1955. ,
Coupling of finite elements and boundary elements methods for study of the frictional contact problem, Computer Methods in Applied Mechanics and Engineering, vol.181, issue.1-3, pp.147-159, 2000. ,
hp-fem convergence for unilateral contact problems with tresca friction in plane linear elastostatics, Journal of Computational and Applied Mathematics, vol.254, pp.175-184, 2013. ,
Explicit equations for the stresses beneath a sliding spherical contact, Proceedings of the Institution of Mechanical Engineers, Part C : Journal of Mechanical Engineering Science, vol.197, issue.1, pp.53-59, 1983. ,
Olbers' paradox in recent times, Modern Cosmology in Retrospect, p.33, 1990. ,
A contact domain method for large deformation frictional contact problems. part 2 : Numerical aspects, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.2607-2631, 2009. ,
Evidence for and implications of self-healing pulses of slip in earthquake rupture, Physics of the Earth and Planetary Interiors, vol.64, issue.1, pp.1-20, 1990. ,
Geometric properties of 2D and 3D unilateral large slip contact operators, Computer Methods in Applied Mechanics and Engineering, vol.131, pp.263-286, 1996. ,
A frictional contact element for strongly curved contact problems, International Journal for Numerical Methods in Engineering, vol.39, issue.1, pp.165-184, 1996. ,
Hardness testing : principles and applications, 2011. ,
English translation H. Hertz "Miscellaneous Papers, Z. Reine Angew. Mathematik, vol.92, pp.156-171, 1881. ,
Contact stresses under combined pressure and twist, Journal of Applied Mechanics, vol.25, pp.396-401, 1958. ,
A theoretical study of the brinell hardness test, Proc. R. Soc. Lond. A, vol.423, pp.301-330, 1865. ,
The stress field induced by normal contact between dissimilar spheres, Journal of applied mechanics, vol.54, issue.1, pp.8-14, 1987. ,
Advanced friction modeling for sheet metal forming, Wear, vol.286, pp.66-78, 2012. ,
Simulation of 3-D random rough surface by 2-D digital filter and fourier analysis, Int J Mach Tool Manu, vol.32, pp.83-90, 1992. ,
Collective behavior of viscoelastic asperities as a model for static and kinetic friction, Journal of the Mechanics and Physics of Solids, vol.76, pp.144-161, 2015. ,
Finite-element analysis of contact between elastic self-affine surfaces, Phys Rev E, vol.70, issue.2, p.26117, 2004. ,
Elastic contact between rough surfaces : Effect of roughness at large and small wavelengths, Tribology International, vol.40, pp.1413-1422, 2007. ,
An analysis of elasto-plastic sliding spherical asperity interaction, Wear, vol.262, issue.1-2, pp.210-219, 2007. ,
On indenter boundary effects at elastic contact, Journal of Mechanics of Materials and Structures, vol.7, issue.2, pp.165-182, 2012. ,
Nonlocal frictional effects at indentation of elastic materials, Tribology letters, vol.51, issue.3, pp.397-407, 2013. ,
An improved finite element scheme for elastic contact problems with friction, Computers & Structures, vol.35, issue.5, pp.571-578, 1990. ,
Finite element analysis of elastic contact problems with friction, 1989. ,
The contact of elastic regular wavy surfaces, Int J Mech Sci, vol.27, issue.6, pp.383-396, 1985. ,
Size effects in wedge indentation predicted by a gradient-enhanced crystal-plasticity model, International Journal of Plasticity, vol.109, pp.54-78, 2018. ,
A semi-analytical approach to three-dimensional normal contact problems with friction, Computational Mechanics, vol.30, issue.4, pp.310-322, 2003. ,
Microstructure based modeling of the strain rate history effect in wear resistant hadfield steels, Wear, vol.396, pp.56-66, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01677832
, The effect of impact conditions on the wear and deformation behavior of wear resistant steels, vol.328, pp.197-205, 2015.
A fast solution of the dry contact problem and the associated sub-surface stress field, using multilevel techniques, Journal of tribology, vol.113, issue.1, pp.128-133, 1991. ,
Elastohydrodynamic lubrication of rough surfaces, Proceedings of the Institution of Mechanical Engineers, Part J : Journal of Engineering Tribology, vol.213, issue.5, pp.397-404, 1999. ,
A load dependent friction model for fully plastic contact conditions, Wear, vol.269, pp.790-796, 2010. ,
Fractal model of elastic-plastic contact between rough surfaces, Journal of Tribology, vol.113, issue.1, pp.1-11, 1991. ,
Fractal characterization and simulation of rough surfaces, Wear, vol.136, issue.2, pp.313-327, 1990. ,
Fractal network model for contact conductance, Journal of Heat Transfer, vol.113, issue.3, pp.516-525, 1991. ,
The fractal geometry of nature, vol.173, 1983. ,
Dry elasto-plastic contact of nominally flat surfaces, Tribology International, vol.65, pp.248-258, 2013. ,
Introduction to Shannon sampling and interpolation theory, 2012. ,
Dynamic surface solutions in linear elasticity and viscoelasticity with frictional boundary conditions, Journal of Vibration and Acoustics, vol.117, issue.4, pp.445-451, 1995. ,
Brake squeal : Linear and nonlinear numerical approaches, Mechanical Systems and Signal Processing, vol.21, pp.2374-2393, 2007. ,
The role of friction on sharp indentation, Journal of the Mechanics and Physics of Solids, vol.52, issue.1, pp.145-165, 2004. ,
Mechanics of generalized continua, Advances in mechanics and mathematics, vol.21, 2010. ,
The effect of grain orientation on fretting fatigue plasticity and life prediction, Tribology international, vol.76, pp.100-115, 2014. ,
, Fractals, scaling and growth far from equilibrium, vol.5, 1998.
A numerical model for the deterministic analysis of adhesive rough contacts down to the nano-scale, International Journal of Solids and Structures, vol.51, issue.14, pp.2620-2632, 2014. ,
Spherical indentation of elastic-plastic solids, Proceedings of the Royal Society of London A : Mathematical, Physical and Engineering Sciences, vol.455, pp.2707-2728, 1999. ,
Associated and non-associated sliding rules in contact friction problems, Archives of Mechanics, vol.30, pp.259-276, 1978. ,
Compliance of elastic bodies in contact, J. Appl. Mech., ASME, vol.16, pp.259-268, 1949. ,
Temperature dependence of frictional healing of westerly granite : Experimental observations and numerical simulations, Geochemistry, Geophysics, Geosystems, vol.14, issue.3, pp.567-582, 2013. ,
Friction laws at the nanoscale, Nature, vol.457, issue.7233, p.1116, 2009. ,
Self-excited oscillations of a finitethickness elastic layer sliding against a rigid surface with a constant coefficient of friction, Journal of Applied Mechanics, vol.85, issue.2, p.21005, 2018. ,
An example of stick-slip and stickslip-separation waves, European Journal of Mechanics -A/Solids, vol.22, issue.1, pp.107-118, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00105244
, Fonctionnelles convexes, Séminaire Jean Leray, pp.1-108, 1966.
The fundamental mixed problem of the theory of elasticity for a half-space with a circular line separating the boundary conditions, Prikl. Mat. Mekh, vol.18, issue.2, pp.187-196, 1954. ,
Compression of elastic bodies under conditions of adhesion (axisymmetric case), Journal of Applied Mathematics and Mechanics, vol.27, issue.3, pp.630-643, 1963. ,
An elasticplastic asperity interaction model for sliding friction, Tribology international, vol.44, issue.12, pp.1679-1694, 2011. ,
Modelling unilateral frictionless contact using the null-space method and cubic b-spline interpolation, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.9, pp.979-993, 2008. ,
Meeting the contact-mechanics challenge, Tribology Letters, vol.65, issue.4, p.118, 2017. ,
Simulation of real contact in tribology, Tribology International, vol.31, issue.1-3, pp.79-86, 1998. ,
Random process model of rough surfaces in plastic contact, Wear, vol.26, issue.3, pp.305-333, 1973. ,
Random process model of rough surfaces, J Lubr Technol (ASME), vol.93, pp.398-407, 1971. ,
Elastic-plastic contact between rough surfaces : proposal for a wear or running-in model, Journal of Tribology, vol.128, issue.2, pp.236-244, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00938281
Microstructural simulations of the initiation and propagation of short fretting cracks in a ti-6al-4v contact, Tribology International, vol.74, pp.103-109, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00966174
Indentation size effects in crystalline materials : a law for strain gradient plasticity, Journal of the Mechanics and Physics of Solids, vol.46, issue.3, pp.411-425, 1998. ,
Influence of a hard surface layer on the limit of elastic contact -part i : Analysis using a real surface model, Journal of tribology, vol.119, issue.3, pp.493-500, 1997. ,
Contact of dissimilar elastic cylinders under normal and tangential loading, Journal of the Mechanics and Physics of Solids, vol.36, issue.1, pp.59-75, 1988. ,
A contact domain method for large deformation frictional contact problems, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.2591-2606, 2009. ,
An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, Journal of materials research, vol.7, issue.6, pp.1564-1583, 1992. ,
URL : https://hal.archives-ouvertes.fr/hal-01518596
On force-displacement relations at contact between elastic-plastic adhesive bodies, Journal of the Mechanics and Physics of Solids, issue.5, pp.1185-1201, 2013. ,
A unified model for the contact behaviour between equal and dissimilar elastic-plastic spherical bodies, International Journal of Solids and Structures, vol.81, pp.23-32, 2016. ,
The influence of friction models on finite element simulations of machining, International Journal of Machine Tools and Manufacture, vol.46, issue.5, pp.518-530, 2006. ,
The coefficient of proportionality ? between real contact area and load, with new asperity models, Wear, vol.268, issue.7-8, pp.1020-1029, 2010. ,
Partial-slip frictional response of rough surfaces, 2014. ,
A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity, Ingenieur-Archiv, vol.44, issue.6, pp.421-432, 1975. ,
Finite element modeling of elasto-plastic contact between rough surfaces, J Mech Phys Solids, vol.53, pp.2385-2409, 2005. ,
Contact mechanics of multilayered rough surfaces in tribology, 2001. ,
Generating randomly rough surfaces with given height probability distribution and power spectrum, Tribology International, vol.131, pp.591-604, 2019. ,
Modelling of leakage on metal-tometal seals, Tribology International, vol.94, pp.421-427, 2016. ,
Continuum mechanics modelling and augmented Lagrangian formulation of large deformation frictional contact problems, 1997. ,
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. ,
, Conductances between confined rough walls, vol.16, pp.615-624, 2004.
Complete boundary element formulation for normal and tangential contact problems, Physical Mesomechanics, vol.17, issue.4, pp.334-340, 2014. ,
Normal contact stiffness of elastic solids with fractal rough surfaces, Physical Review Letters, vol.108, issue.10, p.104301, 2012. ,
Adhesive contact simulation of elastic solids using local mesh-dependent detachment criterion in boundary elements method, Facta Universitatis, Series : Mechanical Engineering, vol.13, issue.1, pp.3-10, 2015. ,
A numerical method for solving rough contact problems based on the multi-level multi-summation and conjugate gradient techniques, Wear, vol.231, issue.2, pp.206-219, 1999. ,
Fast methods for solving rough contact problems : a comparative study, Journal of tribology, vol.122, issue.1, pp.36-41, 2000. ,
Strength of adhesive contacts : Influence of contact geometry and material gradients, Friction, vol.5, pp.308-325, 2017. ,
Mortar methods for computational contact mechanics and general interface problems, 2012. ,
A dual mortar approach for 3D finite deformation contact with consistent linearization, International Journal for Numerical Methods in Engineering, vol.83, issue.11, pp.1428-1465, 2010. ,
A pressure-shear plate impact experiment for investigating transient friction, Experimental Mechanics, vol.35, issue.4, pp.329-336, 1995. ,
Time resolved dynamic friction measurements in pressure-shear, Experimental Techniques in the Dynamics of Deformable Solids, vol.165, pp.33-48, 1993. ,
On the contact area and mean gap of rough, elastic contacts : Dimensional analysis, numerical corrections, and reference data, Tribology Letters, vol.53, issue.2, pp.433-448, 2014. ,
On the plastic contact of rough surfaces, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, vol.327, pp.159-173, 1569. ,
A 3D contact smoothing method using gregory patches, International Journal for Numerical Methods in Engineering, vol.54, issue.8, pp.1161-1194, 2002. ,
A mortar segment-to-segment contact method for large deformation solid mechanics, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6-8, pp.601-629, 2004. ,
A segment-to-segment 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 new efficient numerical method for contact mechanics of rough surfaces, Int J Solids Struct, vol.49, issue.2, pp.338-343, 2012. ,
Mechanics of rough contacts in elastic and viscoelastic thin layers, International Journal of Solids and Structures, vol.69, pp.507-517, 2015. ,
Effect of intrinsic lattice resistance in strain gradient plasticity, Acta Materialia, vol.49, issue.19, pp.3949-3958, 2001. ,
Friction and Wear of Materials, 1965. ,
Slip dynamics at an interface between dissimilar materials, Journal of the Mechanics and Physics of Solids, vol.49, issue.2, pp.341-361, 2001. ,
The effects of surface roughness and topography on the contact behavior of elastic bodies, Journal of tribology, vol.116, issue.4, pp.804-810, 1994. ,
Constant dimensionality of fault roughness from the scale of micro-fractures to the scale of continents, Geophysical Research Letters, vol.40, issue.1, pp.83-87, 2013. ,
Modélisation des instabilités liées au frottement sec des solides élastiques, aspects théoriques et numériques, 1998. ,
Ill-posedness at the boundary for elastic solids sliding under coulomb friction, Journal of Elasticity, vol.27, issue.3, pp.281-287, 1992. ,
Normal adhesive contact on rough surfaces : efficient algorithm for fft-based bem resolution, Computational Mechanics, vol.60, issue.1, pp.69-81, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01755724
Quantifying uncertainties in contact mechanics of rough surfaces using the multilevel monte carlo method, International Journal of Engineering Science, vol.138, pp.50-64, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02059926
Heating and weakening of faults during earthquake slip, Journal of Geophysical Research : Solid Earth, issue.B5, p.111, 2006. ,
Dynamic motion of a single degree of freedom system following a rate and state dependent friction law, Journal of Geophysical Research : Solid Earth, vol.91, issue.B1, pp.521-530, 1986. ,
, Fractal surfaces, 1994.
Crystal plasticity analysis of cylindrical indentation on a ni-base single crystal superalloy, International Journal of Plasticity, vol.51, pp.200-217, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00904140
A mixed lubrication model incorporating measured surface topography. part 1 : theory of flow factors, Proceedings of the Institution of Mechanical Engineers, Part J : Journal of Engineering Tribology, vol.224, issue.4, pp.335-351, 2010. ,
Effect of surface coatings in a rough normally loaded contact, Tribology Series, vol.17, pp.151-156, 1990. ,
Thermal effects on atomic friction, Physical Review Letters, vol.87, issue.17, p.174301, 2001. ,
Basic principles of rough surface contact analysis using numerical methods, Tribology International, vol.29, issue.8, pp.639-650, 1996. ,
Computer simulation of the contact of rough surfaces, Wear, vol.49, issue.2, pp.273-296, 1978. ,
A class of nonlinear differential equations of second order in time, Nonlinear Analysis : Theory, Methods and Applications, vol.2, pp.355-373, 1978. ,
URL : https://hal.archives-ouvertes.fr/hal-01294058
Influence of surface waviness and roughness on the normal pressure distribution in the hertzian contact, Contact micromécanique, vol.109, issue.3, p.55, 1987. ,
An exact penalty approach for the finite element solution of frictionless contact problems, Proceedings of the 7th GACM Colloquium on Computational Mechanics, 2017. ,
Measurement and modeling of normal contact stiffness and contact damping at the meso scale, Journal of vibration and acoustics, vol.127, issue.1, pp.52-60, 2005. ,
Coupling mechanical frictional contact with interfacial fluid flow at small and large scales, 2019. ,
URL : https://hal.archives-ouvertes.fr/tel-02396951
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
Friction-contact analysis using a mixed finite element method, Computers & structures, vol.32, issue.1, pp.223-242, 1989. ,
, Computational Inelasticity, 1998.
Instability and ill-posedness in some friction problems, International Journal of Engineering Science, vol.36, issue.11, pp.1265-1293, 1998. ,
Statistical model of rough surface contact accounting for size-dependent plasticity and asperity interaction, Journal of the Mechanics and Physics of Solids, vol.106, pp.1-14, 2017. ,
Plastic yield inception of an indented coated flat and comparison with a flattened coated sphere, Tribology International, vol.53, pp.61-67, 2012. ,
Elastic-plastic spherical indentation : deformation regimes, evolution of plasticity, and hardening effect, Mechanics of Materials, vol.61, pp.91-100, 2013. ,
Self similar solutions to adhesive contact problems with incremental loading, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, vol.305, pp.55-80, 1480. ,
The hertz contact problem with finite friction, Journal of Elasticity, vol.5, pp.297-319, 1975. ,
The hysteretic behaviour of partial slip elastic contacts undergoing a fretting loop, Journal of Physics : Conference Series, vol.585, p.12007, 2015. ,
An FFT-based method for rough surface contact, J Tribol-T ASME, vol.119, pp.481-485, 1997. ,
Frictional dissipation in elastically dissimilar oscillating hertzian contacts, International Journal of Mechanical Sciences, vol.72, pp.55-62, 2013. ,
Hertz contact at finite friction and arbitrary profiles, Journal of the Mechanics and Physics of Solids, vol.53, issue.6, pp.1422-1447, 2005. ,
A simplified approach to the adhesive theory of friction, Wear, vol.249, issue.1-2, pp.78-84, 2001. ,
Finite deformation effects in soft elastohydrodynamic lubrication problems, Tribology International, vol.93, pp.511-522, 2016. ,
Étude numérique de l'amorçage et de la propagation de fissures de fretting, 2012. ,
Finite element analysis of plastic deformation of various tin coating/substrate systems under normal contact with a rigid sphere, Thin Solid Films, vol.271, issue.1-2, pp.122-131, 1995. ,
Classical shear cracks drive the onset of dry frictional motion, Nature, vol.509, issue.7499, p.205, 2014. ,
Properties of the shear stress peak radiated ahead of rapidly accelerating rupture fronts that mediate frictional slip, Proceedings of the National Academy of Sciences, vol.113, issue.3, pp.542-547, 2016. ,
The correlation of the indentation size effect measured with indenters of various shapes, Journal of the Mechanics and Physics of Solids, vol.50, issue.4, pp.681-694, 2002. ,
The hardness of metals, 1951. ,
Mesh matching and contact patch test, Computational mechanics, vol.31, pp.135-152, 2003. ,
Finite element calculations on the influence of surface roughness on friction, Wear, vol.103, issue.4, pp.345-354, 1985. ,
On a patch test for contact problems in two dimensions, Nonlinear Computational Mechanics, pp.690-702, 1991. ,
Formulation of the reynolds equation on a timedependent lubrication surface, Proceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences, vol.472, 2016. ,
Contact treatment in isogeometric analysis with NURBS, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.9, pp.1100-1112, 2011. ,
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS, Computer Methods in Applied Mechanics and Engineering, vol.209, p.57, 2012. ,
Rough surfaces, 1999. ,
Considerations for the incorporation of measured surfaces in finite element models, Scanning, vol.32, issue.4, pp.183-198, 2010. ,
Multiscale modeling of cemented tungsten carbide in hard rock drilling, International Journal of Solids and Structures, vol.128, pp.282-295, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01634073
An automatic incrementation technique for contact problems with friction, Computers & structures, vol.19, issue.3, pp.393-400, 1984. ,
Modeling and simulation in tribology across scales : An overview, Tribology International, vol.125, pp.169-199, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01802145
Green's function molecular dynamics including viscoelasticity, Modelling and Simulation in Materials Science and Engineering, 2019. ,
Numerical analysis of the influence of waviness on the film thickness of a circular ehl contact, Journal of tribology, vol.118, issue.1, pp.153-161, 1996. ,
The percolation of liquid through a compliant seal -an experimental and theoretical study, Journal of Fluids Engineering, vol.141, issue.3, p.31101, 2019. ,
A numerical model for the elastic frictionless contact of real rough surfaces, Journal of tribology, vol.108, issue.3, pp.314-320, 1986. ,
3d fe modelling and validation of frictional contact with partial slip in compression-shift-rolling evolution, International Journal of Rail Transportation, vol.4, issue.1, pp.20-36, 2016. ,
A 3-dimensional method of studying 3-body contact geometry and stress on real rough surfaces, Tribology Series, vol.12, pp.195-200, 1987. ,
Handbook of surface and nanometrology, 2010. ,
Hertzian contact of anisotropic bodies, Journal of the Mechanics and Physics of Solids, vol.14, issue.3, pp.163-176, 1966. ,
Boussinesq problems for an anisotropic half-space, Journal of the Mechanics and Physics of Solids, vol.15, issue.5, pp.331-339, 1967. ,
Real area of contact and boundary friction in metal forming, International journal of mechanical sciences, vol.30, issue.7, pp.475-489, 1988. ,
, Computational Contact Mechanics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00466790
Nonlinear finite element methods, 2008. ,
On smooth finite element discretizations for frictional contact problems, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, vol.80, issue.S1, pp.77-80, 2000. ,
Smooth C1-interpolations for two-dimensional frictional contact problems, International Journal for Numerical Methods in Engineering, vol.51, pp.1469-1495, 2001. ,
Application of augmented lagrangian techniques for non-linear constitutive laws in contact interfaces, Communications in Numerical Methods in Engineering, vol.9, issue.10, pp.815-824, 1993. ,
A formulation for frictionless contact problems using a weak form introduced by nitsche, Computational Mechanics, vol.41, issue.3, pp.407-420, 2008. ,
Two dimensional mortar contact methods for large deformation frictional sliding, International Journal for Numerical Methods in Engineering, vol.62, pp.1183-1225, 2005. ,
, Numerical Methods in Contact Mechanics, 2013.
Sliding without slipping under coulomb friction : Opening waves and inversion of frictional force, Tribology Letters, vol.62, issue.1, pp.1-8, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01419628
The elastic contact of rough spheres investigated using a deterministic multi-asperity model, Journal of Multiscale Modelling, vol.10, issue.01, p.1841002, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02394130
The contact of elastic regular wavy surfaces revisited, Tribology Letters, vol.56, issue.1, pp.171-183, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01083586
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, Comptes Rendus Mécanique, vol.339, issue.7-8, pp.473-490, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00624090
Tribological properties of bio-mimetic nano-patterned polymeric surfaces on silicon wafer, Tribology Letters, vol.21, issue.1, pp.31-37, 2006. ,
Fractal models of surface topography and contact mechanics, Mathematical and Computer modelling, vol.28, issue.4-8, pp.517-534, 1998. ,
A modified node-to-segment algorithm passing the contact patch test, International journal for numerical methods in engineering, vol.79, issue.4, pp.379-416, 2009. ,
The node-to-segment algorithm for 2D frictionless contact : classical formulation and special cases, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.3428-3451, 2009. ,
Real contact mechanisms and finite element formulation -a coupled thermomechanical approach, International Journal for Numerical Methods in Engineering, vol.35, issue.4, pp.767-785, 1992. ,
A finite element model for contact analysis of multiple cosserat bodies, Computational Mechanics, vol.36, issue.6, pp.444-458, 2005. ,
, The Finite Element Method, vol.1, 2000.
, The Finite Element Method, vol.2, 2000.
Some basic contact problems in couple stress elasticity, International Journal of Solids and Structures, vol.51, pp.2084-2095, 2014. ,