A semi-discrete shell finite element for textile composite reinforcement forming simulation

International Journal for Numerical Methods in Engineering

Volumn 79, Issue 12, 2009, Pages 1443-1466

  Hamila, N ^a   Boisse, P ^a   Sabourin, F ^a   Brunet, M ^a  

^a UNIVERSITÉ DE LYON   (France)

Author keywords

Forming; Rotation free; Textile composites; Triangular shell element; Woven fabric

Indexed keywords

BENDING TESTS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; FORMING; REINFORCEMENT; TEXTILES;

BENDING CURVATURE; EXPERIMENTAL TEST; FORMING SIMULATIONS; ROTATION-FREE; SHELL FINITE ELEMENTS; TEXTILE COMPOSITE; TRIANGULAR SHELL ELEMENTS; WOVEN FABRICS;

WEAVING;

EID: 69249216548     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2625     Document Type: Article

References (62)

1. Mazumdar S. Aerospace market forecast: what is in it for composites? High-performance Composites, March 2005.
2. Hammami A, Trochu F, Gauvin R, Wirth S. Directional permeability measurement of deformed reinforcement. Journal of Reinforced Plastics and Composites 1996; 15:552-562.
3. Slade J, Sozer EM, Advani SG. Fluid impregnation of deformed preforms. Journal of Reinforced Plastics and Composites 2000; 19:552-568.
4. Loix F, Badel P, Orgéas L, Geindreau C, Boisse P. Woven fabric permeability: from textile deformation to fluid flow mesoscale simulations. Composites Science and Technology 2008; 68:1624-1630.
5. Mark C, Taylor HM. The fitting of woven cloth to surfaces. Journal of Textile Institute 1956; 47:477-488.
6. Van Der Ween F. Algorithms for draping fabrics on doubly curved surfaces. International Journal of Numerical Method in Engineering 1991; 31:1414-1426.
7. Cherouat A, Borouchaki H, Billoet JL. Geometrical and mechanical draping of composite fabric. European Journal of Computational Mechanics 2005; 14(6-7):693-708.
8. Spencer AJM. Theory of fabric-reinforced viscous fluid. Composites Part A 2000; 31:1311-1321.
9. Dong L, Lekakou C, Bader MG. Processing of composites: simulations of the draping of fabrics with updated material behaviour law. Journal of Composite Materials 2001; 35:38-163.
10. Peng X, Cao J. A continuum mechanics-based non-orthogonal constitutive model for woven composite fabrics. Composites Part A 2005; 36:859-874.
11. Ten Thije RHW, Akkerman R, Huetink J. Large deformation simulation of anisotropic material using an updated Lagrangian finite element method. Computer Methods in Applied Mechanics and Engineering 2007; 196 (33-34):3141-3150.
12. Badel P, Gauthier S, Vidal-Salle E, Boisse P. Rate constitutive equations for computational analyses of textile composite reinforcement mechanical behaviour during forming. Composites Part A 2008; DOI: 10.1016/j.compositesa.2008.04.015.
13. Pickett AK. Review of finite element methods applied to manufacturing and failure prediction in composite structures. Applied Composite Materials 2002; 9:43-58.
14. Durville D. Numerical simulation of entangled materials mechanical properties. Journal of Materials Science 2005; 40:5941-5948.
15. Sze KY, Liu XH. A new skeletal model for fabric drapes. International Journal of Mechanics and Materials in Design 2005; 2:225-243.
16. Duhovic M, Bhattacharyya D. Simulating the deformation mechanisms of knitted fabric composites. Composites Part A 2006; 37(11):1897-1915.
17. Ben Boubaker B, Haussy B, Ganghoffer JF. Discrete models of woven structures. Macroscopic approach. Composites Part B 2007; 38:498-505.
18. Boisse P, Zouari B, Gasser A. A mesoscopic approach for the simulation of woven fibre composite forming. Composites Science and Technology 2005; 65(3-4):429-436.
19. Hamila N, Boisse P. Simulations of textile composite reinforcement draping using a new semi-discrete three node finite element. Composites Part B 2008; 39:999-1010.
20. Gelin JC, Cherouat A, Boisse P, Sabhi H. Manufacture of thin composite structures by the RTM process, numerical simulation of the shaping operation. Composites Science and Technology 1996; 56(7):711-718.
21. Boisse P, Zouari B, Daniel JL. Importance of in-plane shear rigidity in finite element analyses of woven fabric composite preforming. Composites Part A 2006; 37(12):2201-2212.
22. Onate E, Cervera M. Derivation of thin plate bending element with none degree of freedom per node. Engineering Computations 1993; 10:543-561.
23. Sabourin F, Brunet M. Analyses of plates and shells with a simplified 3 node triangular element. Thin Walled Structures 1995; 21:238-251.
24. Onate E, Zarate F. Rotation-free triangular plate and shell elements. International Journal for Numerical Methods in Engineering 2000; 47:557-603.
25. Laurent H, Rio G. Formulation of a thin shell finite element with continuity C0 and convected material frame notion. Computational Mechanics 2001; 27(3):218-232.
26. Guo YQ, Gati W, Naceur H, Batoz JL. An efficient DKT rotation-free shell element for springback simulation in sheet metal forming. Computers and Structures 2002; 80(27-30):2299-2312.
27. Flores FG, Onate E. Improvements in the membrane behaviour of the three-node rotation-free BST shell triangle using an assumed strain approach. Computer Methods in Applied Mechanics and Engineering 2005; 194:907-932.
28. Sabourin F, Brunet M. Detailed formulation of the rotation-free triangular element 'S3' for general purpose shell analysis. Engineering Computations 2006; 23(5):469-502.
29. Brunet M, Sabourin F. Analysis of a rotation-free 4-node element. International Journal for Numerical Methods in Engineering 2006; 66:1483-1510.
30. Potter KD. History of the resin transfer moulding for aerospace applications. Composites Part A 1999; 30:757-765.
31. Parnas RS. Liquid Composite Molding. Hanser Garner publications: Munich, Germany, 2000.
32. King MJ, Jearanaisilawong P, Socrate S. A continuum constitutive model for the mechanical behavior of woven fabrics. International Journal of Solids and Structures 2005; 42:3867-3896.
33. Kawabata S, Niwa M, Kawai H. The finite deformation theory of plain weave fabrics, part I: the biaxial deformation theory. Journal of the Textile Institute 1973; 64(1):21-46.
34. Buet-Gautier K, Boisse P. Experimental analysis and modeling of biaxial mechanical behavior of woven composite reinforcements. Experimental Mechanics 2001; 41(3):260-269.
35. Willems A, Lomov SV, Verpoest I, Vandepitte D. Optical strain fields in shear and tensile testing of textile reinforcements. Composites Science and Technology 2008; 68:807-819.
36. Lomov S, Boisse P, Deluycker E, Morestin F, Vanclooster K, Vandepitte D, Verpoest I, Willems A. Full field strain measurements in textile deformability studies. Composites Part A 2008; 39:1232-1244.
37. Wang J, Page JR, Paton R. Experimental investigation of the draping properties of reinforcement fabrics. Composite Science Technology 1998; 58:229-237.
38. McGuinness GB, Bradaigh CMO. Characterisation of thermoplastic composite melts in rhombus-shear: the picture-frame experiment. Composites Part A 1998; 29(1-2):115-132.
39. Potter K. Bias extension measurements on cross-plied unidirectional prepreg. Composites Part A 2002; 33:63-73.
40. Harrison P, Clifford MJ, Long AC. Shear characterisation of viscous woven textile composites: a comparison between picture frame and bias extension experiments. Composites Science and Technology 2004; 64:1453-1465.
41. Peng XQ, Cao J, Chen J, Xue P, Lussier DS, Liu L. Experimental and numerical analysis on normalization of picture frame tests for composite materials. Composites Science and Technology 2004; 64:11-21.
42. Launay J, Hivet G, Duong AV, Boisse P. Experimental analysis of the influence of tensions on in plane shear behaviour of woven composite reinforcements. Composites Science and Technology 2008; 68:506-515.
43. Cao J, Akkerman R, Boisse P, Chen J et al. Characterization of mechanical behavior of woven fabrics: experimental methods and benchmark results. Composites Part A 2008; 39:1037-1053.
44. Flores FG, Onate E. Application of a rotation-free triangle element for finite strain analysis of thin shells and membranes. In Textile Composites and Inflatable Structures, Onate E, Kroplin B (eds). Springer: Berlin, 2005; 69-88.
45. Kawabata S. The Standardization and Analysis of Hand Evaluation (2nd edn). The Textile Machinery Society of Japan: Osaka, Japan, 1986.
46. Lahey TJ, Heppler GR. Mechanical modeling of fabrics in bending. Journal of Applied Mechanics (ASME) 2004; 71:32-40.
47. de Bilbao E, Soulat D, Hivet G, Launay J, Gasser A. Bending test of composite reinforcements. International Journal of Material Forming 2008; DOI: 10.1007/s12289-008-0265-z Springer/ESAFORM.
48. Gasser A, Boisse P, Hanklar S. Analysis of the mechanical behaviour of dry fabric reinforcements. 3D simulations versus biaxial tests. Computational Material Science 2000; 17:7-20.
49. Badel P, Vidal-Sallé E, Boisse P. Computational determination of in plane shear mechanical behaviour of textile composite reinforcements. Computational Material Science 2007; 40:439-448.
50. Lomov SV, Verpoest I. Model of shear of woven fabric and parametric description of shear resistance of glass woven reinforcements. Composites Science and Technology 2006; 66:919-933.
51. Cherouat A, Billoët JL. Finite element model for the simulation of preimpregnated woven fabric by deep-drawing and lay-up process. Journal of Advanced Materials 2000; 32:42-53.
52. Boisse P, Buet K, Gasser A, Launay J. Meso-macro mechanical behaviour of textile reinforcements of thin composites. Composites Science and Technology 2001; 61(3):395-401.
53. Belytschko T. An overview of semi-discretisation and time integration procedures. In Computation Methods for Transient Analysis, Belytschko T, Hughes TJR (eds). Elsevier Science: Amsterdam, 1983; 1-65.
54. Hughes TJR, Belytschko T. A precise of developments in computational methods for transient analysis. Journal of Applied Mechanics 1983; 50:1033-1041.
55. Crisfield MA. Non-linear Finite Element Analysis of Solids and Structures, vol. 2. Wiley: New York, 1997.
56. Zienkiewicz O, Taylor R. The Finite Element Method, vol. 1. McGraw-Hill: New York, 1989.
57. Batoz et JL, Dhatt G. Modélisation des Structures par Éléments Finis, Volume 2: Poutres et Plaques. Editions Hermes: Paris, 1990.
58. Duong AV. Etude experimentale du comportement mecanique de renforts composites tisses lors de la mise en forme sur geometries non developpables. Ph.D. Thesis, University of Orleans, 2008.
59. Hamila N, Boisse P, Chatel S. A triangular finite element for textile composite forming simulation. Proceedings of the 12th Esaform Conference, Twente, 2009.
60. Yu X, Ye L, Mai Y. Spurious wrinkles in forming simulations of woven fabric. International Journal of Forming Processes 2005; 8:141-155.
61. Yu X, Cartwright B, McGuckin D, Ye L, Mai YW. Intra-ply shear locking in finite element analyses of woven fabric forming processes. Composites Part A-Applied Science and Manufacturing 2006; 37:790-803.
62. ten Thije RHW, Akkerman R. Solutions to intra-ply shear locking in finite element analyses of fibre reinforced materials. Composites Part A-Applied Science and Manufacturing 2008; 39(7):1167-1176.