Failure model for heterogeneous structures using structured meshes and accounting for probability aspects

Engineering Computations (Swansea, Wales)

Volumn 26, Issue 1, 2009, Pages 166-184

  Hautefeuille, M ^a   Melnyk, S ^a   Colliat, J B ^a   Ibrahimbegovic, A ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Failure modes and effects analysis; Finite element analysis; Meshes; Modelling; Structures

Indexed keywords

FAILURE MODES AND EFFECTS ANALYSIS; FINITE ELEMENT ANALYSIS; MESHES; MODELLING; STRUCTURES;

FINITE ELEMENT METHOD; MODEL STRUCTURES; OBJECT RECOGNITION; PHASE INTERFACES; QUALITY ASSURANCE; SAFETY FACTOR;

FAILURE ANALYSIS;

EID: 66749157113     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400910924852     Document Type: Article

References (28)

1. Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ.
2. Bornert, M., Bretheau, T. and Gilormini, P. (2001), Homogeneisation en mecanique des materiaux, Vol. I/II, Hermes-Science, Paris.
3. Cafliscli, C.A. (1998), "Monte Carlo and quasi-Monte Carlo methods", Acta Numerica, Vol. 7, pp. 1-49.
4. Colliat, J.B., Hautefeuille, M., Ibrahimbegovic, A. and Matthies, H. (2007), "Stochastic approach to quasi-brittle failure and size effect", C.R. Acad. Sci. Paris, Vol. 335, pp. 430-5.
5. Dolarevic, S. and Ibrahimbegovic, A. (2007), "A modified three-surface elasto-plastic cap model and its numerical implementation", Computers & Structures, Vol. 85, pp. 419-30.
6. Gilormini, P. (1995), "A shortcoming of the classical non-linear extension of the self-consistent model", C.R. Acad. Sci. Paris, Vol. 320, pp. 115-22.
7. Ibrahimbegovic, A. (2006), Nonlinear Computational Solid Mechanics, Hermes-Science Publication, Paris (in French).
8. Ibrahimbegovic, A. and Brancherie, D. (2003), "Combined hardening and softening constitutive model of plasticity: precursor to shear slip line failure", Comp. Mechanics, Vol. 31, pp. 88-100.
9. Ibrahimbegovic, A. and Markovic, D. (2003), "Strong coupling methods in multiphase and multiscale modeling of inelastic behavior of heterogeneous structures", Comp. Meth. Appl. Mech. Eng., Vol. 192, pp. 3089-107.
10. Ibrahimbegovic, A. and Melnyk, S. (2007), "Embedded discontinuity finite element method for modeling of localized failure in heterogeneous materials with structured mesh: an alternative to extended finite element method", Comp. Mechanics, Vol. 40, pp. 149-55.
11. Ibrahimbegovic, A. and Wilson, E.L. (1991), "A modified method of incompatible modes", Communications in Applied Numerical Methods, Vol. 7, pp. 187-94.
12. Jaynes, E.T. (2003), Probability Theory: The Logic of a Science, Cambridge University Press, Cambridge.
13. Kanit, T., Forest, S., Galliet, I., Mounoury, V. and Jeulin, D. (2003), "Determination of the size of the representative volume element for random composites: statistical and numerical approach", Int. J. Solid Struct., Vol. 40, pp. 3647-79.
14. Kendall, M.G. (1949), "On the reconciliation of theories of probability", Biometrika, Vol. 36, pp. 101-16.
15. Ladevèze, P., Loiseau, O. and Dureisseix, D. (2001), "A micro-macro and parallel computational strategy for highly heterogeneous structures", Int. J. Numer. Meth. Eng., Vol. 52, pp. 121-38.
16. Loeve, M. (1977), Probability Theory, 4th ed., Vol. 1, Springer, New York, NY.
17. Markovic, D. and Ibrahimbegovic, A. (2004), "On micro-macro interface conditions for micro-scale based fern for inelastic behavior of heterogeneous material", Comput. Meth. Appl. Mech. Eng., Vol. 193, pp. 5503-23.
18. Markovic, D., Niekamp, R., Ibrahimbegovic, A., Matthies, H.G. and Taylor, R.L. (2005), "Multi-scale modelling of heterogeneous structures with inelastic constitutive behaviour: Part I - physical and mathematical aspects", Engineering Computations, Vol. 22, pp. 664-83.
19. Matthies, H.G., Niekamp, R. and Steindorf, J. (2006), "Algorithms for strong coupling procedures", Computer Methods in Applied Mechanics and Engineering, Vol. 195 Nos 17/18, pp. 2028-49.
20. Melnyk, S., Colliat, J.B. and Ibrahimbegovic, A. (2006), "On modeling of localized failure in complex heterogeneous structures", in Ibrahimbegovic, A. and Kozar, I. (Eds), Proceedings of the NATO Advanced Research Workshop on Extreme Man-made and Natural Hazards in Dynamics of Structures, Opatija, 28 May-1 June, pp. 411-16.
21. Shannon, C.E. (1948), "A mathematical theory of communication", Bell System Technical Journal, Vol. 27, pp. 379-423 and 623-56.
22. Simo, J.C. and Taylor, R.L. (1985), "Consistent tangent operators for rate-independent elastoplasticity", Computer Methods in Applied Mechanics and Engineering, Vol. 48, pp. 101-18.
23. Simo, J.C., Oliver, J. and Armero, F. (1993), "An analysis of strong discontinuity induced by strain softening solution in rate independent solids", Comp. Mechanics, Vol. 12, pp. 277-96.
24. Smolyak, S.A. (1963), "Quadrature and interpolation formulas for tensor products of certain classes of function", Soviet Math. Dokl., Vol. 4, pp. 240-3.
25. Soize, C. (2001), "Maximum entropy approach for modeling random uncertainties in transient elastodynamics", J. Acoust. Soc. Am., Vol. 109 No. 5, pp. 1979-96.
26. Wilson, E.L. (1974), "The static condensation algorithm", Int. J. Num. Meth. Eng., Vol. 8, pp. 199-203.
27. Wilson, E.L., Taylor, R.L., Doherty, W.P. and Ghaboussi, J. (1973), "Incompatible displacement models", Numerical and Computer Methods in Structural Mechanics, Academic Press, New York, NY, pp. 43-57.
28. Zienkiewicz, O.C. and Taylor, R.L. (2005), The Finite Element Method, 6th ed., Vol. 1/2, Elsevier, Oxford.