160 6.2.4 Towards a damage model for woven composite materials, Modeling of the structure of woven composites at the mesoscopic scale ,
172 6.3.1 Microstructure of metallic alloys ,
3.3 Contact stress field in polycrystalline materials ,
, Situ Friction and Fretting Wear Measurements of Inconel 617 at Elevated Temperature. Wear, pp.110-118, 2018.
Utilisation des compositesà matrice céramique SiCf/SiC comme matériau de structure de composants internes du tore d'un réacteur en fusion, 2001. ,
Contact Problems in Mechanical Engineering, 1986. ,
Modélisation des composites céramique-céramiqueà différenteséchelles, Revue des composites et des matériaux avancés, vol.3, issue.5, pp.841-850, 1993. ,
Wear Behaviour and mechanism of different metals sliding against stainless steel counterface, Journal of Engineering Tribology, vol.228, issue.6, pp.692-704, 2014. ,
Initiation of sub-surface micro-cracks and white etching areas from debonding at nonmetallic inclusions in wind turbine gearbox bearing, Wear, pp.22-32, 2018. ,
Fully Coupled Resolution of Heterogeneous Elastic-Plastic Contact Problem, Journal of Tribology, vol.138, pp.21403-21404, 2016. ,
Modèle d'endommagement incrémental en temps pour la prévision de la durée de vie des composites tissés 3D en fatigue cyclique et en fatigue aléatoire, 2016. ,
Contact fatigue analysis of a dented surface in a dry elastic-plastic circular point contact, INSA Lyon, tous droits réservés, vol.29, pp.139-153, 2008. ,
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, Proceedings of the Royal Society of London, vol.243, pp.190-205, 1957. ,
Statistical grain size effects in fretting crack initiation, Tribology International, vol.108, pp.75-86, 2017. ,
, ATA 10] ATAG A Beginner's Guide to Aviation Efficiency, 2010.
Contact Analyses for Anisotropic Half Space : Effect of the Anisotropy on the Pressure Distribution and Contact Area, Journal of tribology, vol.134, issue.3, p.31401, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00938302
Contact Analyses for Anisotropic half-space coated with an anisotropic layer : Effect of the anisotropy on the pressure distribution and contact area, International Journal of Solids and Structures, vol.50, issue.5, pp.743-754, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00938370
The Quickhull Algorithm for Convex Hulls, ACM Transactions on Mathematical Software, vol.22, issue.4, pp.469-483, 1996. ,
The Rational Selection of Palliatives for Avoidance of Fretting, Proceedings of the Institution of Mechanical Engineers International Conference: Tribology -Friction, Lubrication and Wear Fifty Years On, pp.311-319, 1987. ,
Microstructural changes around non-metallic inclusions caused by rolling-contact fatigue of ball-bearing steels, Metals Technology, vol.8, issue.1, pp.234-243, 1981. ,
Slip in the rolling contact fo two dissimilar elastic rollers, International Journal of Mechanical Sciences, vol.9, pp.389-404, 1967. ,
A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of materials, vol.6, issue.2, pp.147-157, 1987. ,
Experimental Evidence For Friction and Wear Modelling, Wear, vol.139, pp.77-92, 1990. ,
Steels for bearings, Progress in materials Science, vol.57, issue.2, pp.268-435, 2012. ,
Material Effects in Fretting Wear : Application to Iron, Titanium and Aluminium Alloys, Mettalurgical Transactions A, vol.22, issue.7, pp.1535-1544, 1991. ,
Bearing Performance as a function of structure and heat treatment, Materials Science and Technology, vol.32, issue.11, pp.1079-1085, 2016. ,
Techniques multigrilles et raffinement pour un modèle 3D efficace de milieux hétérogènes sous sollicitations de contact, 2012. ,
Multigrid solution of 3D stress field in strongly hetergeneous materials, Tribology International, vol.74, pp.121-129, 2014. ,
Multigrid numerical simulation of contact mechanics of elastic materials with 3D heterogeneous subsurface topology, Tribology International, vol.92, pp.233-245, 2015. ,
Experimental and numerical investigation of torsion fatigue of bearing steel, Journal of Tribology, vol.135, issue.3, p.31103, 2013. ,
An Improved Approach for 3D Rolling Contact Fatigue Simulations with Microstructure Topology, Tribology Transactions, vol.56, issue.3, pp.385-399, 2013. ,
Rupture prediction of woven ply laminated plate with an open hole, 11th European Conference on Composites Materials, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00096946
Application des Potentielsà l'étude de l'équilibre et du mouvement des solide? elastiques. Gauthiers-Villars, 1985. ,
Contact analyses for bodies with frictional heating and plastic behavior, Journal of tribology, vol.127, pp.355-364, 2005. ,
Multilevel matrix multiplication and fast solution of integral equations, Journal of Computational Physics, vol.90, issue.2, pp.348-370, 1990. ,
The importance of multidirectional motion on the wear of polyethylene. Proceeding of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol.210, issue.3, pp.157-165, 1996. ,
Contact conditions and surface degradation mechanisms in low amplitude fretting, Wear, vol.125, issue.1-2, pp.39-52, 1988. ,
Micromechanical-based hybrid mesoscopic 3D approach for non-linear progressive failure analysis of composite structures, Journal of Composite Materials, vol.46, pp.2389-2415, 2012. ,
,
Ricerche intorno all'equilibrio de corpi elastici isotropi, Rend. Accad. Naz. Lincei, vol.3, issue.13, pp.81-122 ,
Micromechanical study of the effect of inclusions on fatigue failure in a roller bearing, International Journal of Sructural Integrity, vol.6, issue.1, pp.124-141, 2015. ,
Une loi différentielle d'endommagement de fatigue avec cumulation non linéaire. Revue Française de Mécanique, vol.50, pp.71-82, 1974. ,
A Non-Linear Continuous Fatigue Damage Model, Fatigue and Fracture of Engineering Materials and Structures, vol.11, issue.1, pp.1-17, 1988. ,
Continuum Damage Mechanics, Anisotropy and Damage Deactivation for Brittle Materials like Concrete and Ceramic Composites, International Journal of Damage Mechanic, vol.4, pp.5-22, 1995. ,
Contact Pressure and Residual Strain in 3D Elasto-Plastic Rolling Contact for a Circular or Elliptical Point Contact, Journal of Tribology, vol.133, issue.4, p.41402, 2011. ,
On the Effect of Isotropic Hardening on the Coeffcient of Restitution for Single or Repeated Impacts Using a Semi-Analytical Method, Tribology Transactions, vol.54, issue.5, pp.714-722, 2011. ,
Modelling of multiple impacts for the prediction of distortions and residual stresses induced by ultrasonic shot peening (USP), Journal of Materials Processing Technology, vol.212, pp.2080-2090, 2011. ,
Study on initiation and propagation angles of sub-surface cracks in GCr15 bearing steel under rolling contact, Wear, vol.133, pp.205-218, 1989. ,
Semi-analytical modeling of crack initiation dominant contact fatigue for roller bearings, Proceedings of the 1995 Joint ASME/STLE Tribology Conference, 1995. ,
Three-Dimensional Repeated Elasto-Plastic Point Contacts, Rolling, and Sliding, Journal od Applied Mechanics, vol.75, p.21021, 2008. ,
FFT-based numerical methods for elasto-plastic contacts of nominally flat surfaces, Journal of Applied Mechanics, vol.75, pp.11022-11023, 2008. ,
Heterogeneous Surface Wear Models for the Prediction of the Specific Wear Rate of Woven Carbon Fibre Reinforced Epoxy Composites, Polymers & Polymer Composites, vol.23, issue.6, pp.359-367, 2015. ,
On the stress field and surface deformation in a half space with a cuboidal zone in which initial strains are uniform, Journal of Applied Mechanics, vol.45, pp.302-306, 1978. ,
The Generalized Cattaneo Partial Slip Plane Contact Problem I -Theory, International Journal of Solids and Structures, vol.35, issue.18, pp.2349-2362, 1998. ,
The Generalized Cattaneo Partial Slip Plane Contact Problem II -Examples, International Journal of Solids and Structures, vol.35, issue.18, pp.2363-2378, 1998. ,
Approche multiéchelle du comportement mécanique de matériaux compositesà renfort tissé, 2008. ,
Mechanisms of compressive failure in 3D composite, Acta metal mater, vol.40, pp.3285-3298, 1992. ,
Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel, Proc. Int. Conf. on Fatigue of Metals, vol.138, 1956. ,
Local damage in a 5-harness satin weave composite under static tension : Part II -Meso-FE modelling, Composites Science and Technology, vol.70, pp.1934-1941, 2010. ,
Macro-micro approach in high-cycle multiaxial fatigue, ASTM, Philadelphia, vol.191, pp.120-130, 1991. ,
Reducing the domain in the mechanical analysis of periodic structures with application to woven composites, Composites Science and Technology, vol.71, pp.969-979, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00743444
Fretting modelling with a crystal plasticity model of Ti6Al4V, Computational Materials Science, vol.38, issue.1, pp.113-125, 2006. ,
Experimental and numerical analysis of local and global plastic behaviour in fretting wear, Tribology International, vol.39, issue.10, pp.1036-1044, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00136776
Spalling formation mechanism for gears, Wear, vol.254, issue.12, pp.1307-1317, 2003. ,
Experimental characterization and numerical modeling of damage at the mesoscopic scale of woven polymer matrix composites under quasi-static tensile loading, Science and Technology, vol.119, pp.1-11, 2015. ,
Comparison between voxel and consistent meso-scale models of woven composites, Composites: Part A, vol.73, pp.143-154, 2015. ,
Damage onset modeling in woven composites based on a coupled stress and energy criterion, Engineering Fracture Mechanics, vol.169, pp.189-200, 2017. ,
Mesoscale analysis of damage growth in woven composites, Composites Part A: Applied Science and Manufacturing, vol.96, pp.77-88, 2017. ,
Partial slip contact modeling of heterogeneous elasto-plastic materials, International Journal of Mechanical Sciences, vol.114, pp.98-110, 2016. ,
Semi analytical fretting wear simulation including wear debris, Tribology International, vol.109, pp.1-9, 2017. ,
Finite Element Simulation of Textile Materials at Mesoscopic Scale. Finite element modelling of textiles and textile composites, pp.26-28, 2007. ,
Simulation of the mechanical behaviour of woven fabrics at the scale of the fibers, International Journal of Material Forming, vol.3, issue.2, pp.1241-1251, 2010. ,
Nocivité des défauts induits par impact pour les structures composites tissées 3Dà matrice organique, 2015. ,
Experimental and numerical investigations of low energy/velocity impact damage generated in 3D woven composite with polymer matrix, Composites Structures, vol.159, pp.228-239, 2017. ,
The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society of London, vol.241, pp.376-396, 1957. ,
Elastic inclusions and inhomogeneities, Progress in Solid Mechanics, vol.2, pp.89-140, 1961. ,
White structure flaking (WSF) in wind turbine gearbox bearings: effects of butterflies and white etching cracks (WECs), Materials Science and Technology, vol.28, issue.1, pp.3-22, 2012. ,
Effect of Hydrogen on Butterfly and White Etching Crack (WEC) Formation Under Rolling Contact Fatigue (RCF), Wear, vol.306, issue.1-2, pp.1-16, 2013. ,
Serial Sectioning Investigation of Butterfly and White Etching Crack (WEC) Formation in Wind, Turbine Gearbox Bearings. Wear, vol.302, issue.1-2, pp.1573-1582, 2013. ,
A FIB/TEM study of butterfly crack formation and white etching area (WEA) microstructural changes under rolling contact fatigue in 100Cr6 bearing steel, Materials Science and Engineering: A, vol.570, pp.127-134, 2013. ,
A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending, 1958. ,
A two stage fatigue fracture mechanism, Proc. Cranfield Symposium on Fatigue, 1961. ,
Quantification of fretting damage, Wear, vol.200, pp.186-205, 1996. ,
Wear analysis in Fretting of Hard Coatings Through a, Dissipated Energy Concept. Wear, pp.393-403, 1997. ,
An energy description of wear mechanisms and its applications to oscillating sliding contacts, Wear, vol.255, pp.287-298, 2003. ,
A quantitative approach of Ti-6Al-4V fretting damage : friction, wear and crack nucleation, Wear, vol.257, issue.9, pp.916-929, 2004. ,
On the tangential displacement of a surface point due to a cuboid of uniform plastic strain in a half-space, Journal of Applied Mechanics, vol.77, issue.2, pp.21014-21015, 2010. ,
Semi-analytical modeling of complex mechanical contacts: Application to inclusions and wear of coated surfaces, 2011. ,
A comprehensive method to predict wear and to define the optimum geometry of fretting surfaces, ASME Journal of Tribology, vol.128, pp.476-485, 2006. ,
Modeling of fretting wear under gross slip and partial slip conditions, Journal of Tribology, vol.129, issue.3, pp.528-535, 2007. ,
Fretting et Usure des Contacts Mécaniques : Modélisation Numérique, 2007. ,
A fast and efficient contact algorithm for fretting problems applied to fretting modes I, II and III. Wear, vol.268, issue.1, pp.208-222, 2010. ,
A FEM fretting map modeling : Effect of surface wear on crack nucleation, Wear, vol.330, issue.331, pp.145-159, 2015. ,
Proposition of a methodology for the identification of composite material out-of-plane elastic parameters, Comptes Rendus ,
, , 2017.
A stress based damage mechanics model to simulate fretting wear of Hertzian line contact in partial slip, Wear, vol.307, pp.87-99, 2013. ,
The third-body approach: a mechanical view of wear, Wear, vol.100, issue.1-3, pp.437-452, 1984. ,
,
, A 3D efficient finite element model to simulate rolling contact fatigue under high loading conditions, Tribology International, vol.126, pp.258-269, 2018.
A Literature Review of Palliatives for Fretting Fatigue, Wear, vol.56, pp.177-190, 1979. ,
TEM/SEM investigation of microstructural changes within the white etching area under rolling contact fatigue and 3-D crack reconstruction by focused ion beam, Scripta Materialia, vol.57, issue.7, pp.635-638, 2007. ,
EBSD Investigation of the Crack Initiation and TEM/FIB Analyses of the Microstructural Changes Around the Cracks Formed Under Rolling Contact Fatigue (RCF), International Journal of Fatigue, vol.32, issue.3, pp.576-583, 2010. ,
Approche multimodèle pour la conception de structures compositesà renfort tissé, 2013. ,
Consistent Finite Element mesh generation for meso-scale modeling of textile composites with preformed and compacted reinforcements, Composites: Part A, vol.55, pp.143-151, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00918677
An efficient MultiGrid solver for the 3D simulation of composite materials, Computational Materials Science, vol.112, pp.230-237, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01234623
Effects of non-metallic inclusions on the crack propagation in bearing steel, Tribology International, vol.106, pp.123-131, 2017. ,
Sub-surface damage investigation by high frequency ultrasonic echography on 100Cr6 bearing steel, Tribology International, vol.30, pp.247-259, 1997. ,
Lundberg-Palmgren Fatigue Theory: Considerations of Failure Stress and Stressed Volume, Journal of Tribology, vol.121, issue.1, pp.85-89, 1999. ,
Rolling bearing analysis, 2001. ,
Fatigue damaging analysis of a carbon / epoxy 3D layer interlock with acoustic emission, Comptes Rendus JNC, vol.17, 2011. ,
Mécanisme d'endommagement en fatigue dans les tissus multicouches interlocks, 2013. ,
On the contact of elastic solids, Journal fur die reine und angewandte Mathematik, vol.92, pp.22-37 ,
Methods of Conjugate Gradients for Solving Linear Systems, Journal of Research of the National Bureau of Standards, vol.49, issue.6, p.1952 ,
Conjugate direction methods in optimization, vol.175, 1980. ,
On the mechanics of fretting fatigue, Wear, vol.125, pp.129-146, 1988. ,
Mechanics of Elastic Contacts, 1993. ,
Matrix cracking and debonding of ceramic-matrix composites, International Journal of solid structures, vol.33, pp.1209-1220, 1996. ,
Study on Flaking Process in Bearings by White Etching Area Generation, Journal of ASTM International, vol.3, issue.5, pp.1-7, 2006. ,
Influence of tribology on global energy consumption, costs and emissions. Friction, vol.5, pp.263-284, 2017. ,
Strength analysis of woven interlock composites subjected to compressive loading : experiments and simulation, ECCM16 -16th European Conference on Composite Materials, 2014. ,
Analyse par un dialogue essais / calculs de la tenue en compression de structures composites tissées interlocks, 2015. ,
Independent mesh method-based prediction of local and volume average fields in textile composites, Composite Part A: Applied Science and Manufacturing, vol.40, pp.1880-1890, 2009. ,
A New Fatigue Life Model for Rolling Bearings, ASME Journal of Tribology, vol.107, issue.3, pp.367-378, 1985. ,
Computer modelling of anisotropic grain microstructure in two dimensions, Acta Metallurgica Materialia, vol.41, pp.191-198, 1993. ,
Development of a three-dimensional semi-analytical elastic-plastic contact code, Journal of Tribology, vol.124, issue.4, pp.653-667, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00475471
New solutions in contact mechanics, 2004. ,
A Voronoi Finite Element Study of Fatigue Life Scatter in Rolling Contacts, Journal of Tribology, vol.131, issue.2, pp.22203-22218, 2009. ,
Material Inclusion Factors for Lundberg-Palmgren Based RCF Life Equations, Tribology Transactions, vol.54, issue.3, pp.457-469, 2011. ,
Modélisation de l'usure et l'endommagement des contacts nus et revetus sous chargement de fretting par méthode semi-analytique, 2016. ,
A study on rolling bearing contact fatigue failure by macro-observation and microanalysis, Wear of Materials, vol.1, pp.205-213, 1989. ,
Contact Mechanics. Press syndicate of the university of Cambridge, 1985. ,
Metallographic Observations of Ball Bearing Fatigue Phenomena, American Society for Testing and Materials, vol.70, pp.35-52, 1947. ,
Spectral Analysis of Two-Dimensional Contact Problems, ASME Journal of Tribology, vol.118, pp.320-328, 1996. ,
Time of the rupture process under creep conditions, Otdelenie tekhnicheskich nauk, vol.8, pp.26-31, 1958. ,
Three-dimensional elastic bodies in rolling contact, vol.2, 1990. ,
Fatigue Damage Modeling of Composite Structures: the ONERA Viewpoint, Life Prediction Methodologies for Materials and Structures, vol.9, 2015. ,
,
, Solute redistribution in the nanocrystalline structure formed in bearing steels, Scripta Materialia, vol.69, issue.8, pp.630-633, 2013.
Cleanliness of Bearing Steels and Fatigue Life of Rolling Contacts, Journal of ASTM International, vol.3, pp.2-7, 2006. ,
Damage in flat/epoxy quasi-unidirectionnal woven laminates under quasi-static tension, Journal of composite materials, vol.4, pp.1-11, 2014. ,
Modeling of the contact between a rigid indenter and a heteregeneous viscoelastic material, Mechanics of Materials, vol.77, pp.28-42, 2014. ,
Contact analysis in the presence of an ellipsoidal inhomogeneity within a half space, International Journal of Solids and Structures, vol.51, pp.1390-1402, 2014. ,
Progressive damage modelling of 3D fully interlaced woven composite materials. Fatigue and Fracture of Engineering Materials and Structures, vol.37, pp.696-706, 2014. ,
Rolling contact of a rigid sphere/sliding of a spherical indenter upon a viscoelastic halfspace containing an ellipsoidal inhomogeneity, Journal of the Mechanics and Physics of Solids, vol.80, pp.1-25, 2015. ,
Modélisation du contact entre matériaux hétérogènes : Application au contact Aube/Disque, 2015. ,
Influence of non-metallic inclusions on fatigue life in the very high cycle fatigue regime, International Journal of Fatigue, vol.84, pp.40-52, 2016. ,
Simulation of Material Microstructure using a 3D Voronoi Tessellation: Calculation of Effective Thermal Expansion Coefficient of Polycrystalline Materials, Acta Metallurgica Materialia, vol.42, issue.12, pp.3917-3927, 1994. ,
Damage Mechanics Modeling for Ceramic Composites, Journal of Engineering Materials and Technology, vol.116, 1994. ,
Computational contact and impact mechanics: fundamentals of modeling interfacial phenomena in nonlinear finite element analysis, 2003. ,
A multiscale progressive failure approach for composite laminates based on thermodynamical viscoelastic and damage models, Composite Part A: Applied Science and Manufacturing, vol.38, issue.1, pp.198-209, 2007. ,
Creep rupture of structures, Proc. Roy.Soc. London, vol.340, pp.323-347, 1974. ,
Evaluation of dissipation and damage in metals submitted to dynamic loading. Mechanical behavior of materials, pp.540-549, 1972. ,
Modélisation et identification de l'endommagement plastique des métaux, p.3 ,
How to use damage mechanics, Nuclear Engineering and Design, vol.80, pp.233-245, 1984. ,
A Continuous Damage Mechanics Model for Ductile Fracture, Journal of Engineering Materials and Technology, vol.107, pp.83-89, 1985. ,
Mechanics of solid materials, 1990. ,
A course on damage mechanics, 1992. ,
Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures, 2005. ,
A novel modular fretting wear test rigid, Wear, vol.274, issue.275, pp.313-325, 2012. ,
A numerical and experimental investigation of fretting wear and a new procedure for fretting wear maps, Tribology Transactions, vol.55, issue.3, pp.313-324, 2012. ,
Contact analysis in presence of spherical inhomogeneities within a half-space, International Journal of Solids and Structures, vol.47, pp.3034-3049, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00514526
Stick-slip analysis of a circular point contact between a rigid sphere and a flat unidirectional composite with cylindrical fibers, International Journal of Solids and Structures, vol.48, pp.3510-3520, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00938625
Modélisation numérique du contact pour matériaux composites, 2013. ,
A CMC damage based on micro and macromechanics for high temperature and complex loading, High Temperature Ceramic Matrix Composites, pp.578-583, 2006. ,
Identification of the damage in woven composites based on acoustic emission cluseter analysis, 7th International Conference on Composites Testing and Model Identification, 2015. ,
Elastic fields caused by eigenstrains in two joined half-spaces with an interface of coupled imperfections: Dislocation-like and force-like conditions, International Journal of Engineering Science, vol.126, pp.22-52, 2018. ,
Tribological Behavior and Microstructure of carbon Fiber-Reinforced Polymer against Ti6Al4V Alloy in Fretting Contact, Tribology Transactions, vol.61, issue.2, pp.256-268, 2018. ,
Tribological behavior and microstructure of carbon fiber-reinforced polymer against Ti6Al4V in Fretting Contact, Tribology Transactions, vol.61, issue.2, pp.256-268, 2018. ,
Explicit analytical solutions for elastic fields in two imperfectly bonded half-spaces with a thermal inclusion, International Journal of Engineering Science, vol.135, pp.1-16, 2019. ,
Impact of variable loading condtions on fretting wear, Surface and Coatings Technology, vol.163, pp.465-471, 2003. ,
Propagation of Contact Fatigue From Surface and Subsurface Origins, Journal of Basic Engineering, vol.88, pp.624-636, 1966. ,
A versatile method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses, Wear, vol.243, issue.1-2, pp.101-111, 2000. ,
A Three-Dimensional Thermal-Mechanical Asperity Contact Model for Two Nominally Flat Surfaces in contact, Journal of Tribology, vol.123, pp.595-602, 2001. ,
Textile geometry preprocessor for meso-mechanical models of woven composites, Composite Science and Technology, pp.2083-2095, 2000. ,
,
, Meso-FE modelling of textile composites: Road map, data flow and algorithms, Science and Technology, vol.67, issue.9, pp.1870-1891, 2007.
Model of shear of woven fabric and parametric description of shear resistance of glass woven reinforcements, Composite Science and Technology, vol.67, issue.9, pp.1870-1891, 2007. ,
Experimental methodology of study of damage initation and development in textile composites in uniaxial tensile test, Composite Science and Technology, pp.2340-2349, 2008. ,
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. ,
Dynamic capacity of rolling bearings, Mechanical Engineering series, vol.2, issue.3, pp.7-53, 1947. ,
Sub-Surface Initiated Rolling Contact Fatigue -Influence of Non-Metallic Inclusions, Processing History, and Operating Conditions, Journal of ASTM International, vol.7, issue.5, pp.1-12, 2010. ,
The Theory of the Potential: Theoretical Mechanics, 1958. ,
A new formulation of continuum damage mechanics (CDM) for composite materials, Aerospace Science and Technology, vol.4, pp.247-257, 1997. ,
A Damage Model for Ceramic Matrix Composites, Aerospace Science and Technology, vol.5, pp.259-266, 1997. ,
The origin of white etching cracks and their significance to rolling bearing failures, International Journal of Fatigue, vol.120, pp.107-133, 2019. ,
Microstructural alterations of rolling-bearing steel undergoing cyclic stressing, Journal of Fluids Engineering, vol.88, issue.3, pp.555-565, 1966. ,
Modelling of brittle and fatigue damage for elastic material by growth of microvoids, Engineering Fracture Mechanics, vol.21, issue.4, pp.861-874, 1985. ,
Modelisation du comportement, de l'endommagement et de la rupture de materiaux compositesà renforts tisses pour le dimensionnement robuste de structures. PhD Thesis, 2010. ,
An explanation on fatigue limit under combined stress, Bulletin of JSME, vol.20, issue.141, pp.257-263, 1977. ,
Tribological behaviour of multilayered textile composites: The effect of reciprocating sliding frequency, Wear, vol.267, pp.26-33, 2009. ,
Continuum Damage Theroy -Application to Concrete, Journal of Engineering Mechanics, vol.115, issue.2, pp.345-365, 1989. ,
Caractérisation et modélisation du comportement mécanique des composites tressés 3D : Applicationà la conception de réservoirs GNV, 2013. ,
Differentiating 3D textile composites: A novel field of application for Digital Volume Correlation, Composite Structures, vol.208, pp.735-743, 2019. ,
Etude expérimentale et modélisation de l'endommagement dún contact aube/disque de soufflante soumisà des chargement de fretting fatigue, 2011. ,
Compliance of elastic bodies, Journal of Applied Mechanics, vol.71, pp.259-268, 1949. ,
Effect of non-metallic inclusions on butterfly wing initiation, crack formation, and spall geometry in bearing steels, International Journal of Fatigue, vol.80, pp.203-215, 2015. ,
A Damage Mechanics Approach to Simulate Butterfly Wing Formation Around Nonmetallic Inclusions, Journal of Tribology, vol.137, issue.1, pp.11404-011404, 2015. ,
A Review of Microstructural Alterations around Nonmetallic Inclusions in Bearing Steel during Rolling Contact Fatigue, Tribology Transactions, vol.59, issue.6, pp.1142-1156, 2016. ,
,
, A 3D numerical and experimental investigation of microstructural alterations around non-metallic inclusions in bearing steel, International Journal of Fatigue, vol.88, pp.29-41, 2016.
Laboratory testing of displacement and load induced fretting, Tribology International, vol.28, pp.269-278, 1995. ,
Analysis of the stress gradient effect in Fretting-Fatigue through a description based on nonlocal intensity factors, 2015. ,
URL : https://hal.archives-ouvertes.fr/tel-01238905
Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta metallurgica, vol.21, issue.5, pp.571-574, 1973. ,
The Progression of Surface Rolling Contact Fatigue Damage of Rolling Bearings with Artificial Dents, Tribology Transactions, vol.58, pp.418-431, 2015. ,
Effect of material heterogeneity on surface fatigue for rough lubricated rolling sliding contacts, Journal of Engineering Tribology, vol.231, issue.2, pp.274-290, 2017. ,
A model for gear life with surface and subsurface survival: Tribological effects, Wear, vol.404, issue.405, pp.133-142, 2018. ,
Effect of Residual Stresses on Microstructural Evolution Due to Rolling Contact Fatigue, Journal of Tribology, vol.140, issue.6, pp.61402-061402, 2018. ,
Two-ellipsoidal inhomogeneities by the equivalent inclusion method, Journal of Applied Mechanics, vol.42, pp.847-852, 1975. ,
Microstructure and Fracture of 52100 Steel, Metallurgical Transactions A, vol.2, issue.5, pp.681-689, 1978. ,
Meso-scale FE analyses of textile composite reinforcement deformation based on Xray computed tomography, Composite Structures, vol.116, pp.165-176, 2014. ,
Analyse mésoscopique paréléments finis de la déformation de renforts fibreux 2D et 3Dà partir de microtomographies X, 2015. ,
3D composite reinforcement meso F.E. analyses based on X-ray computed tomography, Composite Structures, vol.132, pp.1094-1104, 2015. ,
Role of Inclusions, Surface Roughness and Operating Conditions on Rolling Contact Fatigue, Journal of Tribology, vol.121, issue.2, pp.240-251, 1999. ,
Detrimental effects of debris dents on rolling contact fatigue, Journal of Tribology, vol.122, issue.1, pp.55-64, 2000. ,
Rolling of an elastic ellipsoid upon an elastic-plastic flat, ASME Journal of Tribology, vol.129, issue.4, pp.791-800, 2007. ,
The influence of relative slip range and contact material on the fretting properties of 3.5NiCrMoV rotor steel, Wear, vol.125, pp.147-162, 1988. ,
Analysis of surface traction in complex fretting fatigue cycles using quadratic programming, Journal of Tribology -Transaction of ASME, vol.120, pp.744-749, 1998. ,
Three-Dimensional Periodic Voronoi Grain Models and Micromechanical FE-Simulations of a Two-Phase Steel, Computer Materials Science, vol.24, issue.4, pp.513-519, 2002. ,
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2000. ,
A constitutive theory for the inelastic behavior of concrete, Mechanics of Materials, vol.4, pp.67-93, 1985. ,
Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions, 1985. ,
Modelling the fretting crack growth: from short crack correction strategies to microstructural approaches, International Journal of Fatigue, vol.117, pp.75-89, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02347623
Contact pressure on closely conforming elastic bodies, ASME Journal of Applied Mechanics, pp.543-5548, 1981. ,
Effects of crystal elasticity on rolling contact fatigue, International Journal of Fatigue, vol.61, pp.67-75, 2014. ,
EHL modeling of nonhomogeneous materials : The effects of polycristalline anisotropy on RCF, Tribology International, vol.112, pp.137-146, 2017. ,
A coupled finite element EHL continuum damage mechanics model for rolling contact fatigue, Tribology International, vol.107, pp.173-183, 2017. ,
Global-local assessment of low-velocity impact damage in woven composites, Journal of Composite Materials, vol.41, pp.2759-2783, 2007. ,
Elastic stresses in anisotropic bicrystals, A: Structural Materials: Properties, Microstructure and Processing, vol.169, pp.43-51, 1993. ,
On white etching band formation in rolling bearings, Journal of the Mechanics and Physics of Solids, vol.43, issue.4, pp.637-669, 1995. ,
A numerical method for solving rough contact problems based on the multi-level multisummation 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, p.36, 2000. ,
Mesh generation and geometrical modelling of 3D woven composites with variable tow cross-sections, Computational Materials Science, vol.51, issue.1, pp.103-111, 2012. ,
Theoretical analysis of a rolling-sliding elastohydrodynamic lubrication line contact with a subsurface inclusion, Journal of Engineering Tribology, 2019. ,
Creep problemes in structural members, 1969. ,
Incipient damage detection and its propagation monitoring of rolling contact fatigue by acoustic emission, Tribology International, vol.42, issue.6, pp.807-815, 2009. ,
Fretting fatigue in dovetail blade roots: Experiment and analysis, Tribology International, vol.39, issue.10, pp.1277-1285, 2006. ,
A statistical damage mechanics model for subsurface initiatied spalling in rolling contacts, Journal of Tribology, vol.130, issue.4, p.42201, 2008. ,
A numerical model for life scatter in rolling element bearings, Journal of Tribology, vol.130, pp.11011-011011, 2008. ,
Prévision de la durée de vie en fatigue des compositesà matrice organique tissés interlock, 2013. ,
A Three-Dimensional Deterministic Model for Rough Surface Line-Contact EHL Problems, Journal of Tribology, vol.131, pp.11501-11502, 2009. ,
Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, vol.9, issue.1, pp.49-58, 1929. ,
Modelling evidence of stress concentration mitigation at the micro-scale in polymer composites by the addition of carbon nanotubes, Carbon, vol.82, pp.184-194, 2015. ,
Understanding White etching cracks in rolling element bearings: the effect of hydrogen chargin on the formation mechanisms, Proc. Inst. Mech. Eng. Part J J ,
Effect of Additives on surface performance, 15th International Conference on Experimental Mechanics (ICEM), 2012. ,
Propagation of surface initiated rolling contact fatigue cracks in bearing steel, International Journal of Fatigue, vol.97, pp.29-38, 2017. ,
A Review of Rolling Contact Fatigue, Journal of Tribology, vol.131, pp.41403-41404, 2009. ,
The Mechanics of Crack Initiation at Hard Particles in Rolling Line Contacts, Journal of Tribology, vol.114, issue.2, pp.341-347, 1992. ,
,
, X-ray micro-tomography an attractive characterisation technique in materials science, Nuclear Instruments & Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, vol.200, pp.273-286, 2003.
Fatigue lifetime modeling of oxide/oxide composites, Procedia Engineering, vol.213, pp.797-803, 2018. ,
Effects of Material Properties on Bearing Steel Fatigue Strength, Effects of Steel Manufacturing Processes on the Quality of Bearing Steels, pp.81-101, 1988. ,
Micro-computed tomography determination of glass fiber reinforced polymer mesostructure, Composite Science and Technology, vol.66, pp.2016-2038, 2006. ,
Experimental investigation and behavior modeling of a 3D interlock woven fabric composite: Part 1, pp.380-388, 2008. ,
, Voxel model of an interlock woven composite. ICCM-17 Conference, 2009.
Off-plan behaviour investigation of an interlock fabric, Comptes Rendus des JNC, vol.16, 2009. ,
A micromechanics model for 3D elasticity and failure of woven-fibre composite materials, Composite Science and Technology, vol.59, pp.505-517, 1999. ,
Surface Studies in the Investigation of Failure Mechanisms, Proceedings of the Institution of Mechanical Engineers, Conference Proceedings, vol.182, pp.56-64, 1967. ,
Geometric and mechanical modelling of textiles, 2007. ,
Elastohydrodynamic lubrication analysis of point contact with consideration of material inhomogeneity, Journal of Tribology, vol.136, issue.4, p.41501, 2014. ,
A damage mechanics approach to fretting fatigue life prediction with consideration of elastic-plastic damage model and wear, Tribology International, vol.82, pp.176-190, 2015. ,
Probabilistic Stress-Life (P-S-N) Study on Bearing Steel Using Alternating Torsion Life Test, Tribology Transactions, vol.52, issue.6, pp.145-169, 1959. ,
Explicit finite element modeling of subsurface initated spalling in rolling contacts, Tribology International, vol.43, issue.9, pp.1693-1702, 2010. ,
White-etching matter in bearing steel. Part II: distinguishing cause and effect in bearing steel failure, Metallurgical and Materials Transactions A, vol.45, issue.11, pp.4916-4931, 2014. ,
A new methodology based on X-ray micro-tomography to estimate stress concentrations around inclusions in high strength steels, Materials Science and Engineering: A, pp.376-383, 2009. ,
Fatigue Strength of ball bearings races and heat-treated 52100 steel specimens, Proceedings of the American Society for Testing and Materials, vol.51, pp.682-700, 1951. ,
The delamination theory of wear, Wear, vol.25, issue.1, pp.111-124, 1973. ,
Development of New Life Equation for Ball and Roller Bearings, SAE Paper, pp.2117-2118, 2000. ,
Simplified contact fatigue life prediction model -Part III: New Model, Journal of Tribology, vol.201, issue.1, pp.106-116, 1992. ,
Failure Atlas for Hertz Contact Machine Elements, 1999. ,
Behavior of 3D orthogonal woven CFRP composites. Part I. Experimental investigation, Composites Part A: Applied Science and Manufacturing, vol.31, issue.3, pp.259-271, 2000. ,
A Methodology to Predict the Roughness of Shot Peened Surfaces, Journal of Materials Processing Technology, vol.217, pp.65-76, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01914216
Maximum likelihood estimation, exact confidence intervals for reliability and tolerance limits in the Weibull distribution, Technometrics, vol.12, pp.363-371, 1970. ,
How Microstructural Alterations Affect Fatigue Properties of 52100 Steel, Metals Engineering Quarterly, vol.12, pp.39-47, 1972. ,
Calculation of the friction coefficient of Cu matrix composite reinforced by carbon nanotubes, Computational Materials Science, vol.49, pp.239-241, 2010. ,
Modelling of crack generation and growth under rolling contact fatigue in martensite steels, Processing and Fabrication of Advanced Materials, vol.XVIII, pp.555-564, 2009. ,
Dry Sliding wear characteristics of some industrial polymers against steel counterface, Tribology International, vol.37, issue.9, pp.727-732, 2004. ,
Mulit-level Methods in Lubrication, 2000. ,
Calcul des déplacements et des contraintes dans un demi-espaceélastique chargé en surface par des actions distribuées normales ou tangentielles quelconques, 1985. ,
,
, A 3D finite element modelling of crystalline anisotropy in rolling contact fatigue, International Journal of Fatigue, vol.106, pp.92-102, 2018.
, On fretting maps. Wear, vol.126, issue.2, pp.131-147, 1988.
Testing methods in fretting fatigue : a critical appraisal, ASTM STP, vol.1159, pp.33-48, 1992. ,
Stainless steel optimization from quantum mechanical calculations, Nature Materials, vol.2, pp.25-28, 2003. ,
Uber die Beziehung Zwischen den Beiden Elastizitats konstant en Isotroper Korper, Wied. Ann, vol.38, issue.2, p.573 ,
A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing, vol.13, issue.2, pp.631-644, 1992. ,
An experimental study and fatigue damage model for fretting fatigue, Tribology International, vol.79, pp.183-196, 2014. ,
Numerical simulation for three-dimensional elastic-plastic conact with hardening behavior, ASME Journal of Tribology, vol.127, issue.3, pp.494-502, 2005. ,
Elastohydrodynamic Lubrication of Inhomogeneous Materials using the equivalent inclusion method, Journal of Tribo, vol.136, issue.2, p.21501, 2013. ,
Microstructural alterations in bearing steels under rolling contact fatigue Part 1 -Historical Overview, Tribology Transactions, vol.56, issue.3, pp.349-358, 2013. ,
Effects of plasticity on subsurface initiated spalling in rolling contact fatigue, International Journal of Fatigue, vol.61, pp.67-75, 2014. ,
Progressive failure analysis of three-dimensional woven carbon composites in singlebolt double-shear bearing, Composites Part B: Engineering, vol.84, pp.266-276, 2016. ,
A statistical theory of the strength of materials, Royal Swedish Academy of Engineering Sciences Proc, vol.151, pp.4-45, 1939. ,
An approach for modeling material grain structure in investigations of hertzian subsurface stresses and rolling contact fatigue, Journal of Tribology, vol.132, pp.41404-41405, 2010. ,
A 3D Finite Element Study of Fatigue Life Dispersion in Rolling Line Contacts, Journal of Tribology, vol.133, issue.4, pp.42202-042202, 2011. ,
Bearing pressures and cracks, ASME Journal of Applied Mechanics, vol.6, p.49, 1939. ,
Wear modelling: analytical, computational and mapping: a continuum mechanics approach, Wear, pp.1-17, 1999. ,
, Computational contact mechanics, 2006.
A continuum damage mechanics model for high cycle fatigue, International Journal of Fatigue, vol.20, issue.7, pp.503-508, 1998. ,
Wear damage of alloy 690TT in partial and gross slip fretting regimes at high temperature, Wear, pp.71-79, 2017. ,
Computational contact mechanics: geometry, detection and numerical techniques, 2011. ,
URL : https://hal.archives-ouvertes.fr/pastel-00657305
Detection of Rolling contact sub-surface fatigue cracks using acoustic emission technique, Lubrication Engineering, vol.49, issue.4, pp.303-308, 1993. ,
A study of residual stress induced during rolling, ASME Journal of Lubrication Technology, vol.91, pp.314-319, 1969. ,
Design for Life, Plan for Death, Machine Design, vol.66, issue.15, pp.55-59, 1994. ,
How to Determine Bearing System Life. rapport, 2012, Machinery Lubrication ,
Microstructure-sensitive modeling: Application to fretting contacts, International Journal of Fatigue, vol.31, issue.8-9, pp.1397-1406, 2009. ,
On the fracture of multi-crystalline silicon wafer, Journal of Physics D: Applied Physics, vol.49, issue.47, pp.475-601, 2016. ,
Contact involving a functionally graded elastic thin film and considering surface effects, International Journal of Solids and Structures, vol.150, pp.184-196, 2018. ,
Surface Topography and Fatigue Life of Rolling Contact Bearings, Tribology Transactions, vol.36, pp.329-340, 1993. ,
Effect of external loading on wear maps of aluminium alloys, Wear, pp.619-623, 1993. ,
A fast method for solving three-dimensional arbitrarily shaped inclusions in a half space, Computer Methods in Applied Mechanics and Engineering, vol.198, pp.885-892, 2009. ,
WANG Multiple 3D inhomogeneous inclusions in a half space under contact loading, Mechanics of Materials, vol.43, pp.444-457, 2011. ,
Semi-Analytic solution for multiple interacting three-dimensional inhomogeneous inclusions of arbitrary shape in an infinite space, International Journal for Numerical Methods in Engineering, vol.87, pp.617-638, 2011. ,
Interaction of multiple inhomogeneous inclusions beneath surface, Comput. Methods Appl. Mech. Engrg, vol.217, issue.220, pp.25-33, 2012. ,
An efficient approximate numerical method for modeling contact of materials with distributed inhomogeneities, International Journal of Solids and Structures, vol.51, pp.3410-3421, 2014. ,
A Three-Dimensional Model of Line-Contact Elastohydrodynamic Lubrication for Heterogeneous Materials with Inclusions, International Journal of Applied Mechanics, vol.8, issue.2, p.1650014, 2016. ,
Rolling contact fatigue mechanisms -accelerated testing versus field performance. Rolling Contact Fatigue Testing of Bearing Steels, vol.771, pp.358-379, 1982. ,
, INSA Lyon, tous droits réservés 1.1 Emissions reduction roadmap, 2019.
, Growth in the use of composites in commercial aircraft
7 1.4 LEAP fan blades in RTM woven composite materials, vol.8 ,
, 8 1.6 LEAP-1A engine with Fan blades in RTM woven composite materials
, Evolution of solicitation frequencies and amplitude during a flight cycle
10 1.9 Fretting modes ,
, Fretting regimes
, Wear scar from fretting
Crack initiation in partial slip fretting regime [BRY 88], p.15 ,
, Crack initiation and propagation in partial slip fretting regime
17 1.17 Surface initiated damage from RCF ,
, Subsurface damage mechanisms in RCF
, Cross sectional area of the RVE with a damaged area, p.21
, Stress strain curve with damage
, Parts made of composite materials
23 1.24 Mechanical behavior of a 2D woven composite, p.25 ,
25 1.26 Initial state of 3D woven polymer matrix composite ,
Damage mechanisms at the microscopic level [COU 08], p.27 ,
, , p.27
, Matrix fracture in tension
28 1.31 Geometrical approximation of the blade disk contact ,
38 2.3 Discretizaton of the contact loading in N p rectangles of uniform pressure and shears ,
, Flow Chart of fully coupled semi-analytical elastic contact solver, p.44
45 2.6 Decomposition of the half-space solution into three sub-problems, p.50 ,
Flow chart of fully coupled semi-analytical solver, p.51 ,
60 3.2 Damage effect on macroscopic behavior ,
Stress-Strain plot with damage evolution for a cube, p.61 ,
, Half-space with multiple cuboidal inclusions superimposition, p.62
, Algorithm of Heterogeneous Elastic-Damageable Contact Problem, p.63
, Validation of the enrichment technique with Hertzian analytical solution, p.66
Normal and tangential loads during one fretting cycle, p.67 ,
,
68 3.10 Evolution of damage and Young modulus with cycles for µ = 0.5, p.69 ,
, Equivalent strain? along direction z
,
Evolution of damage function of friction coefficient, p.72 ,
, Effect of computation discretization on damage evolution, p.73
73 3.18 Comparison of contact pressure function of enrichment width, p.74 ,
, Damage variable
Fretting regime and associated damage phenomena, p.78 ,
, Coated half space with cuboidal inclusions
Equivalent strain? in soft coated materials, p.80 ,
Equivalent strain? in hard coated materials, p.81 ,
, Equivalent strain with a soft coating
, Equivalent strain along z with a hard coating
, Damage in coated materials
Damage variable D with model from literature, p.85 ,
86 3.35 Damage evolution between two damage models, p.86 ,
Damage variable D in Stick Slip with a model from literature, vol.87, p.88 ,
89 3.39 Pressure distribution with wear and damage in gross slip and partial slip regimes ,
, 90 3.41 Comparison between wear scars and damage distribution in partial slip, p.91
, Stress history of a point located at 0.5a * in the subsurface of the material as the Hertzian load passes over
Butterfly wings observed around an inclusion, p.96 ,
, Effect of over rolling direction on butterfly wings propagation, p.96
, Jump-in-cycles Algorithm
Enrichment technique around spherical inclusion, p.101 ,
, Flowchart of the coupled contact solver and damage model, p.101
Rolling of a cylinder on a heterogeneous half-space, p.102 ,
Effect of a spherical inclusion on the stress fields, p.103 ,
104 4.10 Critical stress in the REV around the inclusion ,
, Chronological order of butterfly propagation
, Sectioning of the damage variable D around an inclusion, p.108
Effect of inclusion depth on damage distribution, p.110 ,
, Butterfly wings around a spherical inclusion at different depth, p.111
, Critical stress around a soft inclusion
,
, Effect of damage on contact pressure
Definition of Over Rolling Direction (ORD), p.116 ,
, C-cracks observed around indented surface
, Contact pressure on indented surface
, Contact pressure on indented surface
, Damage after contact on indented surface
, Contact pressure on damaged indented surface
,
, 2 Description of Pin-on-Disk parameters
, Transverse isotropy of yarn
, View at 45 ? of the woven composite material without the matrix
, 6 Coefficient of friction between steel and woven composite, p.127
128 5.8 Wear volume between steel and woven composite, Wear depth between steel and woven, p.130 ,
, Schematic view of the fretting experiment
Coefficient of friction during fretting on the matrix, p.133 ,
Coefficient of friction during fretting on a yarn, p.134 ,
, Fretting loops on woven composite
Microscopic observations during fretting on the matrix, p.136 ,
Microscopic observations during fretting on a yarn, p.137 ,
, Microscopic observations during fretting on the matrix in stick/slip, p.138
, Wear depth during fretting on the matrix
, Wear depth during fretting on a yarn
Wear volume during fretting on the matrix, p.140 ,
141 5.21 Schematic view of the compression experiment with MTS test rig, Wear volume during fretting on a yarn ,
Algorithm applied on the heterogeneous subsurface problem, p.151 ,
, Illustration of the duplicated padding in 2D
Stress field in the REV with duplicated padding, p.152 ,
, Effective Young modulus for one spherical inclusion, p.154
Effective Young modulus for one cuboidal inclusion, p.154 ,
, Indentation curve between homogenized and heterogeneous material V f = 0
, 156 6.8 Indentation curve between homogenized and periodic heterogeneous material V f = 0.1
, 157 6.10 2D woven composite geometry from WiseTex
Computed tomography of an interlock composite, p.160 ,
Voxelized view of the woven composite material, p.162 ,
, Stress on the top surface of a homogeneous material, p.164
, , p.167
, Contact pressure on the voxelized composite material, p.167
Transversely Isotropic directions of the yarn, p.168 ,
Stress field in a unique yarn embedded into the matrix, p.170 ,
Contact pressure over a material with one yarn, p.171 ,
, Equivalent strain in the two anisotropic direction of the yarn, p.171
, Microstructure of bearing steel AISI 52100
, The Voronoi tessellation process
, Example of a 3D Voronoi tessellation
, Voxelization of the domain accordingly to the Voronoi tessellation, p.177
, Von Mises stress in anisotropic domain
Contact pressure on the anisotropic domain, p.180 ,
183 6.31 Magnitude in the maximum Tresca stress ,
Magnitude in the maximum Von Mises stress, p.184 ,
, Weibull plot for the maximum reversal shear stress criterion, p.185
Weibull plot for the maximum Tresca stress criterion, p.186 ,
, Weibull plot for the maximum Von Mises stress criterion, p.186
, 195 C.1 Periodicity and overlapping created by the convolution product
Deleting overlapping using zero padding ,
, Wrap-around and zero-padding for even coefficients
, Wrap-around and zero-padding for odd coefficients
, Microscopic surface observation in POD
Coefficient of friction in steel/steel contact, p.202 ,
, Wear depth in steel/steel contact
Wear volume in steel/steel contact ,
204 D.8 Fretting Loop N=60000, W=125N and ? = 0.2mm, METL test rig for fretting, p.205 ,