,
, 116 2.2 Calcul des rotations de corps rigide à partir des déplacements
, Calcul de la courbure dans une direction particulière
,
, Travail et forces internes de flexion dans plan
,
, 126 4.2.2 Détermination de l'angle de cisaillement
,
,
,
,
,
, Analyse des Irréversibilités lors de la Mise en Forme des Renforts de Composites, 2018.
, The importance of taking into account behavior irreversibilities when simulating the forming of textile composite reinforcements, Composites Part A: Applied Science and Manufacturing, vol.127, p.105641, 2019.
, Continu um and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements, International Journal of Solids and Structures, vol.59, pp.1-17, 2015.
, Large deformation analysis of fibrous materials using rate constitutive equations, Computers & Structures, vol.86, pp.1164-1175, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00381428
, Modélisation des structures par éléments finis: poutres et plaques, Hermes, 1990.
, Analyse et simulation de la mise en forme des renforts de composites NCF, 2011.
URL : https://hal.archives-ouvertes.fr/tel-00711035
, Analyses of the Deformation Mechanisms of Non -Crimp Fabric Composite Reinforcements during Preforming, Applied Composite Materials, vol.19, pp.513-528, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00935536
, Finite element model for NCF composite reinforcement preforming: Importance of inter-ply sliding, Composites Part A: Applied Science and Manufacturing, vol.43, pp.2269-2277, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00934514
, Nonlinear Finite Elements for Continua and Structures, 2013.
, Discrete models of woven structures. Macroscopic approach, Composites Part B: Engineering, vol.38, pp.498-505, 2007.
URL : https://hal.archives-ouvertes.fr/tel-01750013
, Fibres de verre de renforcement, 2008.
, Experimental Study of Bending Behaviour of Reinforcements, Experimental Mechanics, vol.50, pp.333-351, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00649570
, Finite element simulations of textile composite forming including the biaxial fabric behaviour, Composites Part B: Engineering, vol.28, pp.453-464, 1997.
URL : https://hal.archives-ouvertes.fr/hal-02571654
, Experimental study and finite element simulation of a glass fiber fabric shaping process, Polymer Composites, vol.16, pp.83-95, 1995.
URL : https://hal.archives-ouvertes.fr/hal-02571665
, Bending and wrinkling of composite fiber preforms and prepregs. A review and new developments in the draping simulations, Composites Part B: Engineering, vol.141, pp.234-249, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02173882
, The bias-extension test for the analysis of in-plane shear properties of textile composite reinforcements and prepregs: a review, International Journal of Material Forming, vol.10, pp.473-492, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01313827
, Simulation of wrinkling during textile composite reinforcement forming. Influence of tensile, in-plane shear and bending stiffnesses, Composites Science and Technology, vol.71, pp.683-692, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00730294
, Importance of in-plane shear rigidity in finite element analyses of woven fabric composite preforming, Composites Part A: Applied Science and Manufacturing, vol.37, pp.2201-2212, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00378101
, A mesoscopic approach for the simulation of woven fibre composite forming, Composites Science and Technology, vol.65, pp.429-436, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00020532
, Drapage géométrique des composites, Comptes Rendus Mécanique, vol.331, pp.437-442, 2003.
, Matériaux composites à matrice organique: constituants, procédés, propriétés, 2004.
, A simplified triangular shell element with a necking criterion for 3-D sheet-forming analysis, Journal of Materials Processing Technology, vol.50, pp.238-251, 1995.
, Analysis of a rotation-free 4-node shell element, International Journal for Numerical Methods in Engineering, vol.66, pp.1483-1510, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00938287
, Analyse et simulation du comportement mecanique des renforts composites tissés, 1998.
, Experimental analysis and modeling of biaxial mechanical behavior of woven composite reinforcements, Experimental Mechanics, vol.41, pp.260-269, 2001.
, Hyperelastic model for large deformation analyses of 3D interlock composite preforms, Composites Science and Technology, vol.72, pp.1352-1360, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00938544
, Hyperelastic modelling for mesoscopic analyses of composite reinforcements, Composites Science and Technology, vol.71, pp.1623-1631, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00938547
, Matériaux composites : présentation générale, 2001.
, Defect formation during preforming of a bi-axial non-crimp fabric with a pillar stitch pattern, Composites Part A: Applied Science and Manufacturing, vol.91, pp.156-167, 2016.
, Mechanical and numerical modelling of composite manufacturing processes deep-drawing and laying-up of thin pre-impregnated woven fabrics, Journal of Materials Processing Technology, vol.118, pp.460-471, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02279268
, On the inter -stitch interaction in biaxial non-crimp fabrics, p.20004, 2018.
, Meso-modelling of Non-Crimp Fabric composites for coupled drape and failure analysis, Journal of Materials Science, vol.41, pp.6725-6736, 2006.
, Ultraviolet Digital Image Correlation for Molten Thermoplastic Composites under Finite Strain, Experimental Mechanics, vol.59, pp.439-451, 2019.
, A hybrid micro-meso-scale unit cell model for homogenization of the nonlinear orthotropic material behavior of coated fabrics used in tensioned membrane structures, Composite Structures, vol.162, pp.271-279, 2017.
, Fibres de carbone, 2008.
, A Finite Element Approach of the Behaviour of Woven Materials at Microscopic Scale. Pages 39-46 in, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00439317
, Simulation of the mechanical behaviour of woven fabrics at the scale of fibers, International Journal of Material Forming, vol.3, pp.1241-1251, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00495110
, Microscopic approaches for understanding the mechanical behaviour of reinforcement in composites. Pages 461-485 Composite Reinforcements for Optimum Performance, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00662057
, Multi -scale modelling of strongly heterogeneous 3D composite structures using spatial Voronoi tessellation, Journal of the Mechanics and Physics of Solids, vol.88, pp.50-71, 2016.
, Modeling the onset of shear boundary layers in fibrous composite reinforcements by second -gradient theory, Zeitschrift für angewandte Mathematik und Physik, vol.65, pp.587-612, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00934569
, Meso modelling for composite preform shaping -Simulation of the loss of cohesion of the woven fibre network, Composites Part A: Applied Science and Manufacturing, vol.54, pp.135-144, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00934559
, Construction of first and second order grade anisotropic continuum media for 3D porous and textile composite structures, Composite Structures, vol.141, pp.292-327, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01416437
, Investigation of the compaction behavior of carbo n fiber NCF for continuous preforming processes, Polymer Composites, vol.38, pp.2609-2625, 2017.
, Thermomechanical analysis, modelling and simulation of the forming of pre-impregnated thermoplastics composites, Composites Part A: Applied Science and Manufacturing, vol.78, pp.211-222, 2015.
, Simulation of thermoplastic prepreg thermoforming based on a visco-hyperelastic model and a thermal homogenization, Materials & Design, vol.93, pp.431-442, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02174933
, The Role of Intra -Yarn Shear in Integrated Multi-Scale Deformation Analyses of Woven Fabrics: A Critical Review, Critical Reviews in Solid State and Materials Sciences, vol.43, pp.213-232, 2018.
, Simulation de la mise en forme des renforts composites mono et multiplis, 2007.
, A semi-discrete shell finite element for textile composite reinforcement forming simulation, International Journal for Numerical Methods in Engineering, vol.79, pp.1443-1466, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00515898
, Modelling the forming mechanics of engineering fabrics using a mutually constrained pantographic beam and membrane mesh, Composites Part A: A pplied Science and Manufacturing, vol.81, pp.145-157, 2016.
, Shear characterisation of viscous woven textile composites: a comparison between picture frame and bias extension experiments, Composites Science and Technology, vol.64, pp.1453-1465, 2004.
, Improving the accuracy of the uniaxial bias extension test on engineering fabrics using a simple wrinkle mitigation technique, Composites Part A: Applied Science and Manufacturing, vol.108, pp.53-61, 2018.
, Normalization of Shear Test Data for Rateindependent Compressible Fabrics, Journal of Composite Materials, vol.42, pp.2315-2344, 2008.
, Constitutive modelling ba sed on meso and micro kinematics for woven and stitched dry fabrics. Page 10, 2003.
, Modelling the deformability of biaxial noncrimp fabric composites. Pages 144-165 Non-Crimp Fabric Composites, 2011.
, Application to a meshing preprocessor for 3D finite element analysis. Finite Elements in, Analysis and Design, vol.42, pp.25-49, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00020539
, Consistent mesoscopic mechanical behaviour model for woven composite reinforcements in biaxial tension, Composites Part B: Engineering, vol.39, pp.345-361, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00381445
, Identifying the distinct shear wrinkling behavior of woven composite preforms under bias extension and picture frame tests, Composite Structures, vol.185, pp.764-773, 2018.
, Modeling formability of multiaxial warp knitted fabrics on a hemisphere, Composites Part A: Applied Science and Manufacturing, vol.33, pp.725-734, 2002.
, XXXII. On the large bending of thin flexible strips and the measurement of their elasticity, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.4, pp.348-357, 1927.
, A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics, Journal of Elasticity, vol.118, pp.113-125, 2015.
, Analysis of a two -way tension-shear coupling in woven fabrics under combined loading tests: Global to local transformation of non-orthogonal normalized forces and displacements, Composites Part A: Applied Science and Manufacturing, vol.88, pp.272-285, 2016.
, An averaging based hyperelastic modeling and experimental analysis of non-crimp fabrics, International Journal of Solids and Structures, 2016.
, Shear and drape behavior of non-crimp fabrics based on stitching geometry, International Journal of Material Forming, vol.11, pp.593-605, 2018.
, Improved accuracy in the determination of flexural rigidity of textile fabrics by the Peirce cantilever test (ASTM D1388), Textile Research Journal, vol.84, pp.1307-1314, 2014.
, Experimental analysis of the influence of tensions on in plane shear behaviour of woven composite reinforcements, Composites Science and Technology, vol.68, pp.506-515, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00498991
, Formulation of a thin shell finite element with continuity C0 and convected material frame notion, Computational Mechanics, vol.27, pp.218-232, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00759691
, Evaluation of bias-extension and pictureframe test methods for the measurement of intraply shear properties of PP/glass commingled fabrics, Composite Structures, vol.61, pp.341-352, 2003.
, The effect of blank holder force on the stamp forming behavior of non-crimp fabric with a chain stitch, Composites Science and Technology, vol.67, pp.357-366, 2007.
, In -plane shear investigation of biaxial carbon non-crimp fabrics with experimental tests and finite element modeling, Materials & Design, vol.63, pp.757-765, 2014.
, A shell formulation for fibrous reinforcement forming simulations, Composites Part A: Applied Science and Manufacturing, vol.100, pp.81-96, 2017.
, Analysis of thermoplastic prepreg bending stiffness during manufacturing and of its influence on wrinkling simulations, Composites Part A: Applied Science and Manufacturing, vol.67, pp.111-122, 2014.
, Interlaminar failure behavior of GLARE laminates under short-beam three-point-bending load, Composites Part B: Engineering, vol.97, pp.361-367, 2016.
, Lateral crushing and bending responses of CFRP square tube filled with aluminum honeycomb, Composites Part B: Engineering, vol.118, pp.104-115, 2017.
, Carbon composites based on multiaxi al multiply stitched preforms. Part 3: Biaxial tension, picture frame and compression tests of the preforms, Composites Part A: Applied Science and Manufacturing, vol.36, pp.1188-1206, 2005.
, Carbon composites based on multiaxial multiply stitched preforms. Part 1. Geometry of the preform, Composites Part A: Applied Science and Manufacturing, vol.33, pp.1171-1183, 2002.
, Textile geometry preprocessor for meso-mechanical models of woven composites, Composites Science and Technology, vol.60, pp.2083-2095, 2000.
, Carbon composites based on multiaxial multiply stitched preforms. Part 2. KES-F characterisation of the deformability of the preforms at low loads, Composites Part A: Applied Science and Manufacturing, vol.34, pp.359-370, 2003.
, Effects of fibre architecture on reinforcement fabric deformation, Plastics, Rubber and Composites, vol.31, pp.87-97, 2002.
, Continuum and discrete models for unbalanced woven fabrics, International Journal of Solids and Structures, vol.94, pp.263-284, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01719677
, Bending characterisation of a molten unidirectional carbon fibre reinforced thermoplastic composite using a Dynamic Mechanical Analysis system, Composites Part A: Applied Science and Manufacturing, vol.77, pp.154-163, 2015.
, Bending of fibre -reinforced thermoplastic sheets, Composites Manufacturing, vol.6, pp.177-187, 1995.
, Chapter 9 Bending of continuous fibre-reinforced thermoplastic sheets. Pages 371-401 Composite Materials Series, 1997.
, Enhanced modeling of 3D composite preform deformations taking into account local fiber bending stiffness, Composites Science and Technology, vol.117, pp.322-333, 2015.
, Stability of 3D Textile Composite Reinforcement Simulations: Solutions to Spurious Transverse Modes, Applied Composite Materials, vol.23, pp.739-760, 2016.
, A method for the approximation of non-uniform fiber misalignment in textile composites using picture frame test, Composites Part A: Applied Science and Manufacturing, vol.38, pp.1493-1501, 2007.
, A comparative analysis of a modified picture frame test for characterization of woven fabrics, Polymer Composites, pp.NA-NA, 2009.
, The constant-moment plate-bending element, Journal of Strain Analysis, vol.6, pp.20-24, 1971.
, Simulation E.F. à l'échelle mésoscopique de la déformation de renforts composite à partir de microtomographie à rayon X, Matériaux & Techniques, vol.104, p.409, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01804488
, Meso-scale FE analyses of textile composite reinforcement deformation based on X-ray computed tomography, Composite Structures, vol.116, pp.165-176, 2014.
URL : https://hal.archives-ouvertes.fr/hal-02173728
, 3D composite reinforcement meso F.E. analyses based on X-ray computed tomography, vol.132, pp.1094-1104, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02173791
, Characterisation of the sheartension coupling of carbon-fibre fabric under controlled membrane tensions for precise simulative predictions of industrial preforming processes, Composites Part A: Applied Science and Manufacturing, vol.67, pp.131-139, 2014.
, Rotation-free triangular plate and shell elements, International Journal for Numerical Methods in Engineering, vol.47, pp.557-603, 2000.
, Prediction of shear force and an analysis of yarn slippage for a plain-weave carbon fabric in a bias extension state, Composites Science and Technology, vol.60, pp.977-986, 2000.
, Ullmann's Encyclopedia of Industrial Chemistry, 2012.
, Modeling yarn slip in woven fabric at the continuum level: Simulations of ballistic impact, Journal of the Mechanics and Physics of Solids, vol.61, pp.265-292, 2013.
, 26-THE "HANDLE" OF CLOTH AS A MEASURABLE QUANTITY, Journal of the Textile Institute Transactions, vol.21, pp.377-416, 1930.
, Les composites dans l'industrie automobile, 2011.
, Fibres aramides pour matériaux composites, 1995.
, Comprehensive drape modelling for moulding 3D textile preforms, Composites Part A: Applied Science and Manufacturing, vol.32, pp.1415-1424, 2001.
, Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices, International Journal of Engineering Science, vol.97, pp.148-172, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01223794
, Detailed formulation of the rotation-free triangular element "S3" for general purpose shell analysis, Engineering Computations, vol.23, pp.469-502, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00938294
, Eléments finis triangulaires pour la simulation de l'emboutissage: Aspects de base, Revue Européenne des Éléments Finis, vol.10, pp.7-53, 2001.
, Viscoelastic bending model for continuous fiberreinforced thermoplastic composites in melt, Composites Part A: Applied Science and Manufacturing, vol.100, pp.333-341, 2017.
, Determination of the in-plane shear rigidity modulus of a carbon non-crimp fabric from bias-extension data test, Journal of Composite Materials, vol.48, pp.2729-2736, 2014.
, Production of non-crimp fabrics for composites. Pages 3-41 Non-Crimp Fabric Composites, 2011.
, A simplified finite element model for draping of woven material, Composites Part A: Applied Science and Manufacturing, vol.35, pp.637-643, 2004.
, Extension of One-Dimensional Models for Hyperelastic String Structures under Coulomb Friction with Adhesion, Lubricants, vol.6, p.33, 2018.
, A one-dimensional computational model for hyperelastic string structures with Coulomb friction: V. SHIRYAEV AND, J. ORLIK. Mathematical Methods in the Applied Sciences, vol.40, pp.741-756, 2017.
, A mesoscopic model for coupled drapeinfusion simulation of biaxial Non-Crimp Fabric, Composites Part B: Engineering, vol.47, pp.48-57, 2013.
, Forming induced wrinkling of composite laminates: A numerical study on wrinkling mechanisms, Composites Part A: Applied Science and Manufacturing, vol.81, pp.41-51, 2016.
, A simplified rate dependent model of forming and wrinkling of pre-impregnated woven composites, Composites Part A: Applied Science and Manufacturing, vol.38, pp.1318-1330, 2007.
, Finite deformations of fibre -reinforced elastic solids with fibre bending stiffness, International Journal of Non-Linear Mechanics, vol.42, pp.355-368, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00501749
, A new skeletal model for fabric drapes, International Journal of Mechanics and Materials in Design, vol.2, pp.225-243, 2005.
, Comparison of picture frame and Bias -Extension tests for the characterization of shear behaviour in natural fibre woven fabrics, Fibers and Polymers, vol.14, pp.338-344, 2013.
, Modelling process induced deformations in 0/90 non-crimp fabrics at the meso-scale, Composites Science and Technology, vol.168, pp.104-110, 2018.
, Algorithms for draping fabrics on doubly-curved surfaces, International Journal for Numerical Methods in Engineering, vol.31, pp.1415-1426, 1991.
, Virtual textile composites software : Integration with micro-mechanical, permeability and structural analysis, Composites Science and Technology, vol.65, pp.2563-2574, 2005.
, The draping of woven fabric preforms and prepregs for production of polymer composite components, Composites Part A: Applied Science and Manufacturing, vol.30, pp.757-765, 1999.
, Meshing Preprocessor for the Mesoscopic 3D Finite Element Simulation of 2D and Interlock Fabric Deformation, Applied Composite Materials, vol.22, pp.869-886, 2015.
, The effects of stitch architecture on the shear compliance of non-crimp fabrics, pp.851-854, 2003.
, A novel material for simulation on compaction behavior of glass fiber non-crimp fabric, Composite Structures, vol.219, pp.8-16, 2019.
, Static and low-velocity impact behavior of sandwich beams with closed-cell aluminum-foam core in three-point bending, International Journal of Impact Engineering, vol.35, pp.885-894, 2008.
, Finite element forming simulation for non -crimp fabrics using a non-orthogonal constitutive equation, Composites Part A: Applied Science and Manufacturing, vol.36, pp.1079-1093, 2005.
, Multi-chain digital element analysis in textile mechanics, Composites Science and Technology, vol.64, pp.239-244, 2004.
, Large deformation and slippage mechanism of plain woven composite in bias extension, Composites Part A: Applied Science and Manufacturing, vol.38, pp.1821-1828, 2007.
, The finite element method, 2000.
, The finite element method, Its basis and fundamentals. 6. ed., repr, vol.1, 2010.
, A woven reinforcement forming simulation method. Influence of the shear stiffness, Computers & Structures, vol.84, pp.351-363, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00383406