Structural Engineering and Mechanics

  • 제33권6호
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  • Pages.657-674
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  • 2009
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Failure analysis of laminates by implementation of continuum damage mechanics in layer-wise finite element theory

  • Mohammadi, B. (School of Mechanical Engineering, Iran University of Science and Technology) ;
  • Hosseini-Toudeshky, H. (Aerospace Engineering Department & Center of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology) ;
  • Sadr-Lahidjani, M.H. (Aerospace Engineering Department, Amirkabir University of Technology)
  • 투고 : 2007.11.22
  • 심사 : 2009.09.25
  • 발행 : 2009.12.20
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper a 3-D continuum damage mechanics formulation for composite laminates and its implementation into a finite element model that is based on the layer-wise laminate plate theory are described. In the damage formulation, each composite ply is treated as a homogeneous orthotropic material exhibiting orthotropic damage in the form of distributed microscopic cracks that are normal to the three principal material directions. The progressive damage of different angle ply composite laminates under quasi-static loading that exhibit the free edge effects are investigated. The effects of various numerical modeling parameters on the progressive damage response are investigated. It will be shown that the dominant damage mechanism in the lay-ups of [+30/-30]s and [+45/-45]s is matrix cracking. However, the lay-up of [+15/-15] may be delaminated in the vicinity of the edges and at $+{\theta}/-{\theta}$ layers interfaces.

키워드

참고문헌

  1. Allix, O. and Ladeveze, P. (1989), "A damage prediction method for composite structures", Int. J. Numer. Meth. Eng., 27, 271-283 https://doi.org/10.1002/nme.1620270205
  2. Allix, O. and Ladeveze, P. (1992), "Interlaminar interface modeling for the prediction of laminate delamination", Compos. Struct., 22, 235-242 https://doi.org/10.1016/0263-8223(92)90060-P
  3. Barbero, E.J., Reddy, J.N. and Teply, J. (1990), "An accurate determination of stresses in thick laminates using a generalized plate theory", Int. J. Numer. Meth. Eng., 29, 1-14 https://doi.org/10.1002/nme.1620290103
  4. Barbero, E. and De Vivo, L. (2001), "A constitutive model for elastic damage in fiber-reinforced PMC laminae", Int. J. Damage Mech., 10, 73-93 https://doi.org/10.1106/6PQ6-31JW-F69K-74LU
  5. Barbero, E. and Lonetti, P. (2002), "An inelastic damage model for fiber reinforced laminates", J. Compos. Mater., 36(8), 941-962 https://doi.org/10.1177/0021998302036008549
  6. Belytschko, T., Liu, W.K. and Moran, B. (2000), Nonlinear Finite Elements for Continua and Structures, John Wiley and Sons Ltd., New York
  7. Chaboche, J.L. (1988a), "Continuum damage mechanics. Part I : General concepts", J. Appl. Mech., 55, 59-64 https://doi.org/10.1115/1.3173661
  8. Chaboche, J.L. (1988b), "Continuum damage mechanics. Part II: Damage growth, crack initiation and crack growth", J. Appl. Mech., 55, 65-72 https://doi.org/10.1115/1.3173662
  9. Cordebois, J.L. and Sirodoff, F. (1979), "Damage induced elastic anisotropy", Colloque Euromech 115, Villard de Lans, France
  10. Herakovich, C.T. (1998), Mechanics of Fibrous Composites, John Wiley, New York
  11. Kachanov, L.M. (1958), "On the creep fracture time", Zzu. Akad. Nauk. USSR Otd. Tekh., 8, 26-31 (in Russian)
  12. Krajcinovic, D. (1983), "Constitutive equations for damaging materials", J. Appl. Mech., 50, 355-360 https://doi.org/10.1115/1.3167044
  13. Krajcinovic, D. (1984), "Continuum damage mechanics", Appl. Me & Rev., 37(l), l-6
  14. Ladeveze, P., Allix, O. and Daudeville, L. (1990), "Mesomodeling of damae for laminate composites: Application to delamination", In: Inelastic Deformation of Composite Materials, et G,J, Dvorak, 607-622
  15. Ladeveze, P., Allix, O., Deu, J.F. and Leveque, D. (2000), "A mesomodel for localisation and damage computation in laminates", Comput. Meth. Appl. Mech. Eng., 183, 105-122 https://doi.org/10.1016/S0045-7825(99)00214-5
  16. Ladeveze, P. and Le Dantec, E. (1992), "Damage modeling of the elementary ply for laminated composites", Compos. Sci. Technol., 43(3), 257-267 https://doi.org/10.1016/0266-3538(92)90097-M
  17. Lemaitre, J. (1985), "A continuous damage mechanics model for ductile fracture", J. Eng. Mater. Technol., 107, 83-89 https://doi.org/10.1115/1.3225775
  18. Lemaitre, J. (1986), "Local approach of fracture", Eng. Fract. Mech., 25(5/6), 523-537 https://doi.org/10.1016/0013-7944(86)90021-4
  19. Lonetti, P., Zinno, R., Greco, F. and Barbero, E. (2003), "Interlaminar damage model for polymer matrix composites", J. Compos. Mater., 37(16), 1485-1504 https://doi.org/10.1177/0021998303034741
  20. Talreja, R. (1985), "A continuum mechanics characterization of damage in composite materials", Proc. R. Soc. A399, 195-216 https://doi.org/10.1098/rspa.1985.0055
  21. Voyiadjis, G.Z. and Dorgan, R.J. (2007), "Framework using functional forms of hardening internal state variables in modeling elasto-plastic-damage behavior", Int. J. Plasticity (in Press) https://doi.org/10.1016/j.ijplas.2007.03.012
  22. Voyiadjis, G.Z. and Kattan, P.I. (1993), "Damage of fiber-reinforced composite materials with micromechanical characterization", Int. J. Solids Struct., 30(20), 2757-2778 https://doi.org/10.1016/0020-7683(93)90153-X
  23. Voyiadjis, G.Z. and Deliktas, B. (2000), "A coupled anisotropic damage model for the inelastic response of composite materials", Comput. Meth. Appl. Mech. Eng., 183, 159-199 https://doi.org/10.1016/S0045-7825(99)00218-2
  24. Voyiadjis, G.Z. and Kattan P.I. (1999), "Advances in damage mechanics: metals and metal matrix composites", Elsevier, Amsterdam
  25. Voyiadjis, G.Z. and Kattan, P.I. (1993), "Damage of fiber reinforced composite materials with micromechanical characterization", Int. J. Solids Struct., 30, 2757-2778 https://doi.org/10.1016/0020-7683(93)90153-X
  26. Voyiadjis, G.Z. and Park, T. (1999), "Kinematics description of damage for finite strain plasticity", J. Eng. Sci., 37, 803-830 https://doi.org/10.1016/S0020-7225(98)00100-1

피인용 문헌

  1. A computational continuum damage mechanics model for predicting transverse cracking and splitting evolution in open hole cross-ply composite laminates vol.40, pp.3, 2017, https://doi.org/10.1111/ffe.12502
  2. Implementation of a micro-meso approach for progressive damage analysis of composite laminates vol.43, pp.5, 2009, https://doi.org/10.12989/sem.2012.43.5.657
  3. Layerwise Theories of Laminated Composite Structures and Their Applications: A Review vol.28, pp.2, 2009, https://doi.org/10.1007/s11831-019-09392-2