Advanced Composite Materials

The Korean Society for Composite Materials (한국복합재료학회)
권호 표지

Damage analysis in composite laminates by using an interface element

Aoki, Yuichiro;Suemasu, Hiroshi

  • Published : 20030000
⟨ Previous Next ⟩

Abstract

A numerical analysis is performed to study an impact damage accumulation problem in composite laminates. A special three-dimensional interface element is developed based on the cohesive model. The element enables the mesh independent configurations of a crack to be calculated and can treat contact problems of the delaminated area. The energy stored in the element per unit area is defined as a function of continuous relative displacements of the delaminated surface. The energy stored before the perfect separation of the interface is equal to the interlaminar fracture toughness. The softening cohesive relations between the tractions and the relative displacements are given by differentiating the energy function with respect to the relative displacements. The maximum value of traction may coincide with interfacial bonding strength. The element is incorporated in a commercially available finite element code. Crack propagation problems under pure Mode I and Mode II loading conditions for three-dimensional models are calculated to show the validity of the present element. The convergence of solution with mesh refinement is examined. The analytical solutions converge smoothly and agree well with the theoretical ones. The present method may be a good tool to simulate the damage accumulation problem of CFRP laminates.

Keywords

References

  1. S. Liu and F. K. Chang, Matrix cracking effect on delamination growth in composite laminates induced by a spherical indenter, J. Compos. Mater. 28, 940–977 (1994).
  2. S.-L. Gao, J.-K. Kim and X.-J. Xian, Characterization of impact damage in CFRPS using a scanning acoustic microscope, in: Proc. ICCM-11, Gold Coast, Australia (1997).
  3. T. Ishikawa, S. Sugimoto, M. Matsushima and Y. Hayashi, Some experimental findings in CAI tests of CF/PEEK and conventionalCF/EPOXY flat plates, Compos. Sci. Technol. 55, 349–362 (1995).
  4. H. Razi and A. S. Kobayashi, Delamination in cross-ply laminated composite subjected to lowvelocity impact, AIAA J. 31, 1498– 1502 (1993).
  5. C. J. Jih and C. T. Sun, Prediction of delamination in composite laminates subjected to low velocity impact, J. Compos. Mater. 27, 684–701 (1993).
  6. Y. Aoki and H. Suemasu, Fracture mechanical study on mechanism of damage accumulation in composite laminates, Trans. JSME (A) 67, 1563–1568 (2001).
  7. O. Allix and P. Ladeveze, Interlaminar modeling for the prediction of delamination, Composite Structures 22, 235–242 (1992).
  8. O. Allix and P. Ladeveze, Damage analysis of interlaminarfracture specimens, J. Compos. Mater. 31, 61–74 (1995).
  9. M. Wisheart and M. O. W. Richardson, The finite element analysis of impact induced delamination in composite materials using a novel interface element, Composites Part A 29, 301–313 (1998).
  10. Y. Mi, M. A. CrisŽ eld, G. A. O. Davies and H. B. Hellweg, Progressive delamination using interface elements, J. Compos. Mater. 32, 1246–1273 (1998).
  11. C. Alfano and M. A. Crisfield, Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues, Int. J. Numer. Meth. Engng. 50, 1701– 1736 (2001).
  12. L. Gornet, Finite element damage prediction of composite structure, in: Proc. ICCM-12, Paris France, CD-Rom (1999).
  13. W. Sprenger, F. Gruttmann andW.Wagner, Delamination growth analysis in laminated structures with continuum-based 3D-shell elements and a viscoplastic softening model, Comput. Meth. Appl. Mech. Engng. 185, 123– 139 (2000).
  14. V. Albouyso, O. Allix, P. Ladevèze and D. Leveque, Interfacial approach of delamination: possibilities and difficulties, in: Proc. ICCM-12, Paris, France, CD-Rom (1999).
  15. A. Needleman, A continuum model for void nucleation by inclusion debonding, J. Appl. Mech. 54, 525–531 (1987).
  16. A. Needleman, An analysis of decohesion along an imperfect interface, Int. J. Fracture 42, 21–40 (1990).
  17. S. El-Sayed and S. Sridharan, Predicting and tracking interlaminar crack growth in composites using a cohesive layer model, Composites, Part B 32, 545–553 (2001).
  18. G. Lin, P. H. Geubelle and N. R. Sottos, Simulation of fiber debonding with friction in a model composite pushout test, Int. J. Solids and Structures 38, 8547–8562 (2001).
  19. R. Borg, L. Nilsson and K. Simonsson, Modeling of delamination using a discredited cohesive zone and damage formulation, Compos. Sci. Technol. 62, 1299–1314 (2002).
  20. V. K. Goyal, E. R. Johnson, C. G. Davila and N. Jaunky, An irreversible constitutive law for modeling the delamination process using interface elements, in: Proc. 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, Colorado (2002).