Failure of layered composites subject to impacts: Constitutive modeling and parameter identification issues

Strength of Materials

Volumn , Issue , 2009, Pages 97-131

  Mariani, Stefano ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Composites; Delamination; Impact loading; Interface constitutive modeling; Parameter identification; Sigma point kalman filter

Indexed keywords

EID: 84655172382     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (54)

1. S. Abrate. Impact on composite structures. Cambridge University Press, 1998.
2. H.D. Espinosa, S. Dwivedi, P.D. Zavattieri, and G. Yuan. A numerical investigation of penetration in multilayered material/structure systems. International Journal of Solids and Structures, 35: 2975-3001, 1998.
3. O. Allix and P. Ladevéze. Interlaminar interface modelling for the prediction of delamination. Composite Structures, 22: 235-242, 1992.
4. A. Corigliano. Formulation, identification and use of interface elements in the numerical analysis of composite delamination. International Journal of Solids and Structures, 30: 2779-2811, 1993.
5. A. Corigliano and O. Allix. Some aspects of interlaminar degradation in composites. Computer Methods in Applied Mechanics and Engineering, 185: 203-224, 2000.
6. A. Corigliano and S. Mariani. Simulation of damage in composites by means of interface models: parameter identification. Composites Science and Technology, 61: 2299-2315, 2001.
7. G. Alfano and M.A. Crisfield. Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. International Journal for Numerical Methods in Engineering, 50: 1701-1736, 2001.
8. A. Corigliano. Damage and fracture mechanics techniques for composite structures. In I. Milne, R.O. Ritchie, and B. Karihaloo, editors, Comprehensive Structural Integrity, volume 3, chapter 9, pages 459-539. Elsevier Science, 2003.
9. A. Corigliano and S. Mariani. Parameter identification of a time-dependent elasticdamage interface model for the simulation of debonding in composites. Composites Science and Technology, 61: 191-203, 2001.
10. A. Corigliano and S. Mariani. Identification of a constitutive model for the simulation of time-dependent interlaminar debonding processes in composites. Computer Methods in Applied Mechanics and Engineering, 191: 1861-1894, 2002.
11. S. Mariani and A. Corigliano. Impact induced composite delamination: state and parameter identification via joint and dual extended Kalman filters. Computer Methods in Applied Mechanics and Engineering, 194: 5242-5272, 2005.
12. S. Bittanti, G. Maier, and A. Nappi. Inverse problems in structural elastoplasticity: a Kalman filter approach. In A. Sawczuk and G. Bianchi, editors, Plasticity today. Modelling, Methods and Applications, pages 311-329. Elsevier Applied Science Publishers, 1984.
13. A. Corigliano, S.Mariani, and B. Orsatti. Identification of Gurson-Tvergaard material model parameters via Kalman filtering technique - I. Theory. International Journal of Fracture, 104: 349-373, 2000.
14. H.D. Espinosa, S. Dwivedi, and H.-C. Lu. Modeling impact induced delamination of woven fiber reinforced composites with contact/cohesive laws. Computer Methods in Applied Mechanics and Engineering, 183: 259-290, 2000.
15. A. Corigliano and S.Mariani. Parameter identification in explicit structural dynamics: performance of the extended Kalman filter. Computer Methods in Applied Mechanics and Engineering, 193: 3807-3835, 2004.
16. S.J. Julier, J. Uhlmann, and H.F. Durrant-Whyte. A new method for the nonlinear transformation of means and covariances in filters and estimators. IEEE Transactions on Automatic Control, 45: 477-482, 2000.
17. T. Lefebvre, H. Bruyninckx, and J. De Schutter. Kalman filters for nonlinear systems: a comparison of performance. International Journal of Control, 77: 639-653, 2004.
18. K. Ito and K. Xiong. Gaussian filters for nonlinear filtering problems. IEEE Transactions on Automatic Control, 45: 910-927, 2000.
19. S. Mariani and A. Ghisi. Unscented Kalman filtering for nonlinear structural dynamics. Nonlinear Dynamics, 49: 131-150, 2007.
20. A. Corigliano, S. Mariani, and A. Pandolfi. Numerical modeling of rate-dependent debonding processes in composites. Composite Structures, 61: 39-50, 2003.
21. A. Corigliano, S. Mariani, and A. Pandolfi. Numerical analysis of rate-dependent dynamic composite delamination. Composites Science and Technology, 66: 766-775, 2006.
22. R. Lund and J. Fish. Space-time multiscale laminated theory. International Journal of Multiscale Computational Engineering, 2: 26-47, 2004.
23. S. Mariani, A. Pandolfi, and R. Pavani. Coupled space-time multiscale simulations of dynamic delamination tests. Materials Science, 23: 509-519, 2005.
24. R.R. Talreja Y.W. Kwon, D.H. Allen, editor. Multiscale Modeling and Simulation of Composite Materials and Structures. Springer, 2007.
25. G.T. Camacho and M. Ortiz. Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures, 33: 2899-2938, 1996.
26. Y. Arun Roy and R.H. Dodds. Simulation of ductile crack growth in thin alluminum panels using 3-D surface cohesive elements. International Journal of Fracture, 110: 21-45, 2001.
27. S. Mariani and U. Perego. Extended finite element method for quasi-brittle fracture. International Journal for Numerical Methods in Engineering, 58: 103-126, 2003.
28. C. Comi and S. Mariani. Extended finite element simulation of quasi-brittle fracture in functionally graded materials. Computer Methods in Applied Mechanics and Engineering, 196: 4013-4026, 2007.
29. S. Li, M.D. Thouless, A.M. Waas, J.A. Schroeder, and P.D. Zavattieri. Mixed-mode cohesive-zone models for fracture of an adhesively bonded polymer matrix composite. Engineering Fracture Mechanics, 73: 64-78, 2006.
30. J.H. Rose, J. Ferrante, and J.R. Smith. Universal binding energy curves for metals and bimetallic interfaces. Physical Review Letters, 47: 675-678, 1981.
31. J.H. Rose, J.R. Smith, and J. Ferrante. Universal features of bonding in metals. Physical Review B, 28: 1835-1845, 1983.
32. X.-P. Xu and A. Needleman. Numerical simulation of fast crack growth in brittle solids. Journal of the Mechanics and Physics of Solids, 42: 1397-1434, 1994.
33. A. Needleman and A.J. Rosakis. The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces. Journal of the Mechanics and Physics of Solids, 47: 2411-2449, 1999.
34. C.M. Landis, T. Pardoen, and J.W. Hutchinson. Crack velocity dependent toughness in rate dependent materials. Mechanics of Materials, 32: 663-678, 2000.
35. O. C. Zienkiewicz and R. L. Taylor. The finite element method, volume II. McGraw-Hill, London, 1989.
36. N. Möes, J. Dolbow, and T. Belytschko. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 46: 131-150, 1999.
37. T. Strouboulis, K. Copps, and I. Babuška. The generalized finite element method. Computer Methods in Applied Mechanics and Engineering, 190: 4081-4193, 2001.
38. G.N. Wells and L.J. Sluys. A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering, 50: 2667-2682, 2001.
39. C. Comi, S. Mariani, and U. Perego. An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation. International Journal for Numerical and Analytical Methods in Geomechanics, 31: 213-238, 2007.
40. M. Jirasek and T. Zimmerman. Embedded crack model: II. Combination with smeared cracks. International Journal for Numerical Methods in Engineering, 50: 1291-1305, 2001.
41. H.M. Hilber, T.J.R. Hughes, and R.L. Taylor. Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Engineering and Structural Dynamics, 5: 283-292, 1977.
42. T.J.R. Hughes. The finite element method. Linear static and dynamic finite element analysis. Dover Publications, 2000.
43. L. Ljung. System identification. Theory for the user. Prentice Hall, second edition, 1999.
44. A. Gelb. Applied optimal estimation. The M.I.T. Press, 1974.
45. E.A. Wan and A.T. Nelson. Dual extended Kalman filter methods. In S. Haykin, editor, Kalman filtering and neural networks, pages 123-173. John Wiley & Sons, Inc., 2001.
46. R. E. Kalman and R. S. Bucy. New results in linear filtering and prediction theory. ASME Journal of Basic Engineering, 83D: 95-108, 1961.
47. L. Ljung. Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems. IEEE Transactions on Automatic Control, AC-24: 36-50, 1979.
48. K. Reif, S. Günther, E. Yaz, and R. Unbehauen. Stochastic stability of the discretetime extended Kalman filter. IEEE Transactions on Automatic Control, 44: 714-728, 1999.
49. S.J. Julier and J.K. Uhlmann. A general method for approximating nonlinear transformations of probability distributions. Technical report, RRG, Department of Engineering Science, University of Oxford, 1996.
50. S.J. Julier, J. Uhlmann, and H.F. Durrant-Whyte. A new approach for filtering nonlinear systems. In Proceedings of the American Control Conference, pages 1628-1632, Seattle, June 1995.
51. E.A. Wan and R. van der Merwe. The unscented Kalman filter. In S. Haykin, editor, Kalman filtering and neural networks, pages 221-280. JohnWiley & Sons, Inc., 2001.
52. S.J. Julier. The scaled unscented transformation. In Proceedings of the American Control Conference, volume 6, pages 4555-4559, Anchorage, May 2002.
53. F. Yuan, L. Tsai, V. Prakash, A.M. Rajendran, and D.P. Dandekar. Spall strength of glass fiber reinforced polymer composites. International Journal of Solids and Structures, 44: 7731-7747, 2007.
54. G. Alfano. On the influence of the shape of the interface law on the application of cohesive-zone models. Composites Science and Technology, 66: 723-730, 2006.