Modelling of Low Velocity Impact Damage In Laminated Composites

  • Lee Jounghwan (Graduate School of Aerospace Engineering, The University of Sheffield, U.K.) ;
  • Kong Changduk (Department of Aerospace Engineering, Chosun University) ;
  • Soutis Costas (Aerospace Engineering, The University of Sheffield, U.K.)
  • Published : 2005.04.01

Abstract

In this study a simple model is developed that predicts impact damage in a composite laminate avoiding the need of the time-consuming dynamic finite element method (FEM). The analytical model uses a non-linear approximation method (Rayleigh-Ritz) and the large deflection plate theory to predict the number of failed plies and damage area in a quasi-isotropic composite circular plate (axisymmetric problem) due to a point impact load at its centre. It is assumed that the deformation due to a static transverse load is similar to that oc curred in a low velocity impact. It is found that the model, despite its simplicity, is in good agreement with FEM predictions and experimental data for the deflection of the composite plate and gives a good estimate of the number of failed plies due to fibre breakage. The predicted damage zone could be used with a fracture mechanics model developed by the second investigator and co-workers to calculate the compression after impact strength of such laminates. This approach could save significant running time when compared to FEM solutions.

Keywords

References

  1. Chang, F. K. and Chang, K. Y., 1987, 'A Progressive Damage Model for Laminated Composites Containing Stress Concentrations,' Journal of Composite Materials, Vol. 21, pp. 834-854 https://doi.org/10.1177/002199838702100904
  2. Davies, G. A. O. and Zhang, X., 1995, 'Impact Damage Prediction in Carbon Composite Structures,' International Journal of Impact Engineering, Vol. 16, No. 1, pp. 149-170 https://doi.org/10.1016/0734-743X(94)00039-Y
  3. Fuoss, E., Straznicky, P. V. and Poon, C, 1994, 'Prediction of Impact Induced Delamination in Composite Plates,' Advanced Composite Letters, Vol. 3, No. 3, pp. 193-196
  4. Fuoss, E., Straznicky, P. V. and Poon, C, 1998, 'Effects of Stacking Sequence on The Impact Resistance in composite Laminates. Part 2 : Prediction Method,' Composite Structures, Vol. 41, No. 2, pp. 177-186 https://doi.org/10.1016/S0263-8223(98)00037-3
  5. Greszczuck, L. B., 1982, 'Damage in Composite Panels due to Low Velocity Impact,' Impact Dynamics, Ed. Zukas Z.A. J. Wiley
  6. Hitchings, D., 1995, 'FE77 User Manual Version 2.49,' Imperial College, Aeronautics
  7. Khoo, S. W., 1991, 'Low Velocity Impact of Composite Structures,' Phd Thesis, University of London, December
  8. Kim, Y., Hwang, J., Baek, K., Cha, C. and Yang, I., 2003, 'Impact Collapse Characteristics of CF/Epoxy Composite Tubes for Light-Weights,' KSME International Journal, Vol. 17, No. 1, pp. 48-56
  9. Lee, J., 2003, 'Compressive Behaviour of Composite Laminates before and after Low Velocity Impact,' PhD Thesis, Imperial College London, UK.
  10. Lee, S. R. and Sun, C. T., 1995, 'On The Apparent Bending Isotropy in Clamped Elliptic Composite Laminates,' Journal of Composite Materials, Vol. 29, No. 12, pp. 1601-1620 https://doi.org/10.1177/002199839502901204
  11. Liou, W. J., Tseng, C. I. and Chao, L. P., 1996, 'Stress Analysis of Laminated E-glass Epoxy composite Plates Subject to Impact Dynamic Loading,' Computers & Structures, Vol. 61, No. 1, pp. 1-11 https://doi.org/10.1016/0045-7949(96)00020-X
  12. Liu, D., 1988, 'Impact-induced Delamination A View of Bending Stiffness Mismatching,' Journal of Composite Materials, Vol. 22, pp. 674-692 https://doi.org/10.1177/002199838802200706
  13. Monagan, M. B., 2000, 'Maple 6: Programming Guide,' Waterloo, Ont., Waterloo Maple
  14. Murri, G. B. and Guynn, E. G., 1988, 'Analysis of Delamination Growth from Matrix Cracks in Laminates Subjected to Bending Loads,' Composite materials : Testing and Design (Eighth Conference), ASTM STP 972, pp. 322-339 https://doi.org/10.1520/STP26143S
  15. Sjobolm, P. O., Hartness, J. T. and Cordell, T. M., 1988, 'On Low Velocity Impact Testing of Composite Materials,' Journal of Composite Materials, Vol. 22, pp. 30-52 https://doi.org/10.1177/002199838802200103
  16. Soutis, C. and Fleck, N. A., 1990, 'Static Compression Failure of Carbon Fibre T800/ 924C Composite Plate with a Single Hole,' Journal of Composite Materials, Vol. 24, pp. 536-558 https://doi.org/10.1177/002199839002400505
  17. Soutis, C. and Curtis, P. T., 1995, 'Prediction of The Post-Impact Compressive Strength of CFRP Laminated Composites,' DRA/SMC Tech. Report. 951012. Nov.
  18. Suemasu, H. and Majima, O., 1996, 'Multiple Delaminations and Their Severity in Circular Axisymmetric Plates Subjected to Transverse Loading,' Journal of Composite Materials, Vol. 30, No. 4, pp. 441-453 https://doi.org/10.1177/002199839603000402
  19. Suemasu, H. and Majima, O., 1998, 'Multiple Delaminations and Their Severity in Nonlinear Circular Plates Subjected to Concentrated Loading,' Journal of Composite Materials, Vol. 32, No. 2, pp. 123-140 https://doi.org/10.1177/002199839803200202
  20. Timoshenko and Woinowsky-Krieger, 1959, 'Theory of Plates and Shells,' McGraw-Hill Book Company, 2nd Ed
  21. Watson, S. A., 1994, 'The Modelling of Impact Damage in Kevlar-Reinforced Epoxy Composite Structures,' PhD Thesis, University of London, November
  22. Whitehead, R. S., 1985, 'ICAF National Review,' Pisa., pp. 10-26