The bounded rate concept: A framework to deal with objective failure predictions in dynamic within a local constitutive model

International Journal of Damage Mechanics

Volumn 22, Issue 6, 2013, Pages 808-828

  Allix, Olivier ^a  

^a Grande Voie des Vignes   (France)

Author keywords

bounded rate constitutive models; dynamics; failure; Localization

Indexed keywords

DAMAGE LOCALIZATION; FAILURE PREDICTION; FINITE STRAIN; LOCALIZATION; METALLIC STRUCTURES; PREDICTION OF FAILURES; RATE-DEPENDENT MODELS; SPATIAL LOCALIZATION;

COMPUTER SYSTEM RECOVERY; DAMAGE DETECTION; DYNAMICS; LAMINATED COMPOSITES;

CONSTITUTIVE MODELS;

EID: 84881400435     PISSN: 10567895     EISSN: 15307921     Source Type: Journal    
DOI: 10.1177/1056789512468355     Document Type: Article

References (36)

1. Abu Al-Rub RK, Voyiadjis GZ. A finite strain plastic-damage model for high velocity impact using combined viscosity and gradient localization limiters: Part I - Theoretical formulation. International Journal of Damage Mechanics. 2006 ; 15-4: 293-334
2. Allix O. A composite damage meso-model for impact problems. Composite Science and Technology. 2001 ; 61-15: 2193-2205
3. Allix O, Blanchard L. Mesomodeling of delamination: towards industrial applications. Composite Science and Technology. 2006 ; 66-6: 731-744
4. Allix O, Deü J-F. Delay damage modelling for fracture prediction of laminated composites under dynamic loading. Engineering Transactions. 1997 ; 45: 29-46
5. Allix O, Dommanget M, Gratton M, et al. A multi-scale approach for the response of a 3D carbon/carbon composite under shock loading. Composite Science and Technology. 2001 ; 61-3: 409-415
6. Allix O, Feissel P, Thévenet P. A delay damage meso-model of laminates under dynamic loading: basic aspects, identification issues. Computers and Structures. 2003 ; 81: 1177-1191
7. Bazant ZP. Instability, ductility and size effect in strain softening concrete. Journal of Engineering Mechanics. 1976 ; 102: 331-344
8. Bazant ZP, Jirasek M. Nonlocal integral formulations of plasticity and damage: survey of progress. Journal of Engineering Mechanics. 2002 ; 128-11: 1119-1149
9. Benallal A. A note on ill-posedness for rate-dependent problems and its relation to the rate-independent case. Computational Mechanics. 2008 ; 42-2: 261-269
10. Besson J. Continuum models of ductile fracture: a review. International Journal of Damage Mechanics. 2006 ; 19:01: 3-52
11. Besnard G, Hild F, Roux S. 'Finite-element' displacement fields analysis from digital images: application to Portevin-Le Châtelier bands. Experimental Mechanics. 2006 ; 46: 789-804
12. Chow CL, Jie M, Wu X. A damage-coupled criterion of localized necking based on acoustic tensor. International Journal of Damage Mechanics. 2007 ; 16-3: 265-281
13. Comi C, Perego U. On visco-damage models for concrete at high strain rates. Computational Plasticity, Fundamentals and applications, CIMNE. 1997 ; 113: 1552-1556
14. Court G Prévision objective de la rupture ductile en grandes déformations sous sollicitation dynamique: Modèle d'épuisement plastique à taux limités. Phd Thesis. LMT Cachan ; 2006 :
15. Curran DR, Seaman L, Shockey DA. Dynamic failure of solids. Physics Report (Review Section of Physics Letters). 1987 ; 147: 253-388
16. De Borst R. Simulation of strain localization: a reappraisal of the Cosserat continuum. Engineering Computations. 1991 ; 8: 317-332
17. Desmorat R, Chambart M, Gatuingt F, et al. Delay-active damage versus non-local enhancement for anisotropic damage dynamics computations with alternated loading. Engineering Fracture Mechanics. 2010 ; 77-12: 2294-2315
18. Dumont J-P, Ladevèze P, Poss M, et al. Damage mechanics for 3D composites. International Journal of Composite II. 1987 ; 8: 119-141
19. Flatten A Lokale und nicht-lokale Modellierung und Simulation thermomechanischer Lokalisierung mit Schadigung fur metallische Werkstoffe unter Hochgeschwindigkeitsbeanspruchungen. Phd Dissertation. Fakultat Maschinenbau der Universitat Dortmund ; 2008 :
20. Flatten A, Klingbeil D, Svendsen B In: Proceedings the 1st International Conference on Computational Fracture and Failure of Materials and Structures (eds N Moes, et al.). 2007 :
21. Ghahremaninezhad A, Ravi-Chandar K. Ductile failure behavior of polycrystalline Al 6061-T6. International Journal of Fracture. 2012 ; 174: 177-202
22. Guinard S, Allix O, Guédra-Degeorges D, et al. A 3D damage analysis of low-velocity impacts on laminated composite. Composite Science and Technology. 2000 ; 62-4: 585-589
23. Guimard J-M, Allix O, Pechnick N, et al. Characterization and modeling of rate effects in the dynamic propagation of Mode-II delamination in composite laminates. International Journal of Fracture. 2009 ; 160-1: 55-71
24. Jacques N, Mercier S, Molinari A. Effects of microscale inertia on dynamic ductile crack growth. Journal of the Mechanics and Physics of Solids. 2012 ; 60-4: 665-690
25. Johnson GR, Cook WH In: Proceedings of the 7th International Symposium on Ballistics. The Hague, The Netherlands: ; 1983 :
26. Ladevèze P, Allix O, Deü JF, et al. A mesomodel for localisation and damage computation in laminates. Computers Methods in Applied Mechanics and Engineering. 2000 ; 183-1-2: 105-122
27. Lasry D, Belytschko T. Localization limiters in transient problems. International Journal of Solids and Structures. 1988 ; 24 (6). 581-597
28. Lemaître J. A continuous damage mechanics model for ductile fracture. Journal of Engineering Materials and Technology, Transactions of ASME. 1985 ; 107: 83-89
29. Lorentz E, Andrieux S. Analysis of nonlocal models through energetic formulations. International Journal of Solids and Structures. 2003 ; 40/12: 2905-2936
30. Needleman A. Material rate-dependence, mesh sensitivity in localization problems. Computer Methods in Applied Mechanics and Engineering. 1988 ; 63: 69-85
31. Needleman A, Tvergaard V. Mesh effects in the analysis of dynamic ductile crack growth. Engineering Fracture Mechanics. 1994 ; 47: 75-91
32. Pijaudier-Cabot G, Bazant ZP. Non local damage theory. Journal of Engineering Mechanics. 1987 ; 113: 1512-1533
33. Ricci S, Bruenig M. Numerical analysis of nonlocal anisotropic continuum damage. International Journal of Damage Mechanics. 2007 ; 16-3: 283-299
34. Sluys LJ, De Borst R. Wave propagation, localization in a rate-dependent cracked medium: model formulation, one dimensional examples. International Journal of Solids and Structures. 1992 ; 29: 2945-2958
35. Suffis A, Combescure A. Von-Mises plasticity coupled with delayed damage. ; 2003 ; 2003..
36. Suffis A, Combescure A, Lubrecht A. Damage model with delayed effect: analytical, numerical studies of the evolution of the characteristics length. International Journal of Solids and Structures. 2003 ; 40: 3463-3476