An interface element for the simulation of delamination in unidirectional fiber-reinforced composite laminates

Engineering Fracture Mechanics

Volumn 75, Issue 9, 2008, Pages 2597-2615

  Balzani, C ^a   Wagner, W ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Cohesive element; Cohesive zone; Delamination; Finite element; Interface element; Progressive damage

Indexed keywords

COMPOSITE STRUCTURES; DELAMINATION; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); LAMINATED COMPOSITES; LOAD LIMITS; STIFFNESS;

COHESIVE ZONE APPROACH; EXPONENTIAL SOFTENING RESPONSE; PROGRESSIVE DAMAGE;

FIBER REINFORCED MATERIALS;

COMPOSITE STRUCTURES; DELAMINATION; FIBER REINFORCED MATERIALS; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); LAMINATED COMPOSITES; LOAD LIMITS; STIFFNESS;

EID: 40749128074     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2007.03.013     Document Type: Article

References (59)

1. Garg A.C. Delamination - a damage mode in composite structures. Engng Fract Mech 29 5 (1988) 557-584
2. Bolotin V.V. Delaminations in composite structures: its origin, buckling, growth and stability. Compos Part B: Engng 27B (1996) 129-145
3. O'Brien TK. Fracture mechanics of composite delamination. In: ASM handbook 21, Composites, ASM International, 2001. p. 241-5.
4. Tay T.E. Characterization and analysis of delamination fracture in composites: an overview of developments from 1990 to 2001. Appl Mech Rev 56 1 (2003) 1-32
5. Camanho P.P., and Matthews F.L. Delamination onset prediction in mechanically fastened joints in composite laminates. J Compos Mater 33 (1999) 906-927
6. Rybicki E.F., and Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Engng Fract Mech 9 (1977) 931-938
7. Krüger R. Delaminationswachstum in Faserverbundlaminaten. PhD thesis, University of Stuttgart. Institute for Statics and Dynamics of Aerospace Structures, Report-No. 13-96, 1996 [in German].
8. Wang G.S. A probabilistic damage accumulation solution based on crack closure model. Int J Fatigue 21 (1999) 531-547
9. Tessmer J. Theoretische und algorithmische Beiträge zur Berechnung von Faserverbundschalen. PhD thesis. University of Hannover, Institute for Construction Mechanics and Numerical Mechanics, Report-No. F 00/3, 2000 [in German].
10. Krüger R. Virtual crack closure technique: history, approach and applications. Appl Mech Rev 57 (2004) 109-143
11. Rinderknecht S, Kröplin B. Calculation of delamination growth with fracture and damage mechanics. In: Hughes TJR, Oñate E, Zienkiewicz, editors. Recent developments in finite element analysis, Barcelona, 1994. p. 181-90.
12. Rinderknecht S., and Kröplin B. Delamination growth simulation with a moving mesh technique. In: Topping B.H.V., and Papadrakakis M. (Eds). Advances in non-linear finite element methods (1994), CIVIL-COMP Ltd., Edinburgh, Scotland 187-197
13. Rinderknecht S., and Kröplin B. A finite element model for delamination in composite plates. Mech Compos Mater Struct 2 (1995) 19-47
14. Dugdale D.S. Yielding of steel sheets containing slits. J Mech Phys Solids 8 (1960) 100-104
15. Barenblatt G.I. Mathematical theory of equilibrium cracks in brittle failure. Adv Appl Mech 7 (1962)
16. Needleman A. An analysis of tensile decohesion along an interface. J Mech Phys Solids 38 (1990) 289-324
17. Needleman A. An analysis of decohesion along an imperfect interface. Int J Fract 42 (1990) 21-40
18. Tvergaard V., and Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40 (1992) 1377-1397
19. Xu X.P., and Needleman A. Void nucleation by inclusion debonding in a crystal matrix. Modell Simul Mater Sci Engng 1 (1993) 111-132
20. Crisfield M, Mi Y, Davies GAO, Hellweg HB. Finite element methods and the progressive failure-modelling of composites structures. In: Owen DRJ, Onate E, Hinton E, editors. Computational plasticity, Barcelona, 1997. p. 239-54.
21. Geubelle P.H., and Baylor J. The impact-induced delamination of laminated composites: a 2D simulation. Compos Part B: Engng 29B (1998) 589-602
22. de Borst R., and Schipperen J.H.A. Computational methods for delamination and fracture in composites. In: Allix O., and Hild F. (Eds). Continuum damage mechanics of materials and structures (2002), Elsevier Science Ltd. 325-352
23. Shet C., and Chandra N. Analysis of energy balance when using cohesive zone models to simulate fracture processes. ASME J Engng Mater Technol 124 (2002) 440-450
24. Zou Z., Reid S.R., Li S., and Soden P.D. Modelling interlaminar and intralaminar damage in filament wound pipes under quasi-static indentation. J Compos Mater 36 (2002) 477-499
25. Zou Z., Reid S.R., and Li S. A continuum damage model for delaminations in laminated composites. J Mech Phys Solids 51 (2003) 333-356
26. Hashagen F. Numerical analysis of failure mechanisms in fibre metal laminates. PhD Thesis. Technical University of Delft, 1998. ISBN 90-407-1753-3.
27. Borg R., Nilsson L., and Simonsson K. Modeling of delamination using a discretized cohesive zone and damage formulation. Compos Sci Technol 62 (2002) 1299-1314
28. Wagner W., Gruttmann F., and Sprenger W. A finite element formulation for the simulation of propagating deleminations in layered composite structures. Int J Numer Methods Engng 51 (2001) 1337-1359
29. Needleman A. A continuum model for void nucleation by inclusion debonding. ASME J Appl Mech 54 (1987) 525-531
30. Camanho PP, Dávila CG. Mixed-mode decohesion finite elements for the simulation of delamination in composite materials. NASA, Report-No. TM-2002-211737, 2002.
31. de-Andrés A., Pérez J.L., and Ortiz M. Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminium shafts subjected to axial loading. Int J Solids Struct 36 (1999) 2231-2258
32. Ortiz M., and Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Methods Engng 44 (1999) 1267-1282
33. Mohr O. Welche Umstände bedingen die Elastizitätsgrenze und den Bruch eines Materials?. J VDI 24 45 (1900) 1524-1530 and 46, p. 1572-7 [in German]
34. Hashin Z. Failure criteria for unidirectional fiber composites. J Appl Mech 47 (1980) 329-334
35. Taylor R.L. Finite element analysis of linear shell problems. In: Whiteman J.R. (Ed). The mathematics of finite elements and applications VI (MAFELAP 1987) (1988), Academic Press, London, UK 191-204
36. de Borst R., and Rots J.G. Occurrance of spurious mechanisms in computation of strain-softening solids. Engng Comput 6 (1989) 272-280
37. Gonçalves J.P., de Moura M.F., de Castro P.T., and Marques A.T. Interface element including point-to-surface constraints for three-dimensional problems with damage propagation. Engng Comput 17 1 (2000) 28-47
38. Mi Y., Crisfield M.A., Davies G.A.O., and Hellweg H.B. Progressive delamination using interface elements. J Compos Mater 32 (1998) 1246-1273
39. Schellekens JCJ, de Borst R. Numerical simulation of free edge delamination in graphite-epoxy laminates under uniaxial tension. In: Proceedings of the sixth international conference on composite structures, 1991. p. 647-57.
40. Schellekens JCJ. Computational strategies for composite structures. PhD Thesis, The Netherlands, Technical University of Delft, 1992.
41. Schellekens J.C.J., and de Borst R. On the numerical integration of interface elements. Int J Numer Methods Engng 36 (1993) 43-66
42. Alfano G., and Crisfield M.A. Finite element interface elements for the delamination analysis of laminated composite structures: mechanical and computational issues. J Numer Methods Engng 50 (2001) 1701-1736
43. Rose J.H., Ferrante J., and Smith J.R. Universal binding energy curves for metals and bimetallic interfaces. Phys Rev Lett 47 9 (1981) 675-678
44. Camacho G.T., and Ortiz M. Computational modeling of impact damage in brittle materials. Int J Solids Struct 33 (1996) 2899-2938
45. Mohammadi S., Owen D.R.J., and Peric D. A combined finite/discrete element algorithm for delamination analysis of composites. Finite Elem Anal Des 28 4 (1998) 321-336
46. Puck A. A failure criterion shows the direction. Kunststoffe 82 (1992) 607-610 [in German]
47. Cui W., Wisnom M.R., and Jones M. A comparison of failure criteria to predict delamination of unidirectional glass/epoxy specimens waisted through the thickness. Composites 23 3 (1992) 158-166
48. Test Method D 3039/D 3039 M-00. Standard test method for tensile properties of polymer matrix composite materials (2000), American Society for Testing and Materials, West Conshohocken, PA, USA
49. Test Method D2344-84. Standard test method for apparent interlaminar shear strength of parallel fiber composites by short-beam method (1995), American Society for Testing and Materials, West Conshohocken, PA, USA
50. Benzeggagh M.L., and Kenane M. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Compos Sci Technol 56 (1996) 439-449
51. Test Method D5528-01. Standard test method for mode i interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites (2002), American Society for Testing and Materials, West Conshohocken, PA, USA
52. Test Method JIS 7086. Testing methods for interlaminar fracture toughness of carbon fiber reinforced plastics (1993), Japan Industrial Standards, Japanese Standards Association, Tokyo, Japan
53. Test Method D6671-01. Standard test method for mixed mode I-mode II interlaminar fracture toughness of unidirectional fiber reinforced polymer matrix composites (2002), American Society for Testing and Materials, West Conshohocken, PA, USA
54. Lee S.M. An edge crack torsion method for mode III delamination fracture testing. J Compos Technol Res 15 3 (1993) 193-201
55. Han T.-S., Ural A., Chen C.-S., Zehnder A.T., Ingraffea A.R., and Billington S.L. Delamination buckling and propagation analysis of honeycomb panels using a cohesive element approach. Int J Fract 115 (2002) 101-123
56. Hutter K. The foundations of thermodynamics, its basic postulates and implications. Acta Mech 27 (1977) 1-54
57. Zienkiewicz O.C., and Taylor R.L. The finite element method. fifth ed. vol. 1-3 (2000), Butterworth-Heinemann, Oxford
58. Dvorkin E., and Bathe K.J. A continuum mechanics based four node shell element for general nonlinear analysis. Engng Comput 1 (1984) 77-88
59. Aliyu AA, Daniel IM. Effects of strain rate on delamination fracture toughness of graphite/epoxy. In: Johnson WS, editor. Delamination and debonding of materials, ASTM STP, 876, Philadelphia, 1985. p. 336-48.