A three-scale domain decomposition method for the 3D analysis of debonding in laminates

Computational Mechanics

Volumn 44, Issue 3, 2009, Pages 343-362

  Kerfriden, Pierre ^a   Allix, O ^a   Gosselet, P ^a  

^a CNRS   (France)

Author keywords

Debonding; Domain decomposition; LaTIn solver

Indexed keywords

DEBONDING; ITERATIVE METHODS; LAMINATES; NUMERICAL METHODS;

INDUSTRIAL LAMINATES; LATIN SOLVER; MIXED DOMAINS; MULTI-SCALE FEATURES; NUMERICAL PROBLEMS; PARALLEL ITERATIVE SOLVERS; QUASI STATIC RESPONSE; SCALE DOMAINS;

DOMAIN DECOMPOSITION METHODS;

EID: 67349106798     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0378-3     Document Type: Article

References (31)

1. O Allix A Corigliano 1996 Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens Int J Fract 77 11 140
2. O Allix P Ladevèze 1992 Interlaminar interface modelling for the prediction of delamination Comput Struct 22 235 242 (Pubitemid 23582976)
3. O Allix D Lévêque L Perret 1998 Identification and forecast of delamination in composite laminates by an interlaminar interface model Compos Sci Technol 58 671 678 (Pubitemid 28437728)
4. H Ben Dhia G Rateau 2005 The arlequin method as a flexible engineering design tool Int J Numer Methods Eng 62 11 1442 1462 (Pubitemid 40413094)
5. P Cresta O Allix C Rey S Guinard 2007 Nonlinear localization strategies for domain decomposition methods in structural mechanics Comput Methods Appl Mech Eng 196 1436 1446 (Pubitemid 44762800)
6. MA Crisfield 1981 A fast incremental iterative solution procedure that handles 'snap-through' Comput Struct 13 55 62
7. R De Borst JC Remmers 2006 Computational modelling of delamination Compos Sci Technol 66 713 722 (Pubitemid 43329417)
8. Z Dostál D Horák O Vlach 2007 Feti-based algorithms for modelling of fibrous composite materials with debonding Math Comput Simul 76 57 64 (Pubitemid 47503624)
9. C Farhat FX Roux 1991 A method of finite element tearing and interconnecting and its parallel solution algorithm Int J Numer Methods Eng 32 1205 1227 (Pubitemid 21718586)
10. F Feyel J-L Chaboche 2000 Fe2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials Comput Methods Appl Mech Eng 183 309 330 (Pubitemid 30236809)
11. J Fish K Shek M Pandheeradi MS Shephard 1997 Computational plasticity for composite structures based on mathematical homogenization: Theory and practice Comput Methods Appl Mech Eng 148 53 73 (Pubitemid 127410037)
12. N Germain J Besson F Feyel P Gosselet 2007 High-performance parallel simulation of structure degradation using non-local damage models Int J Numer Methods Eng 71 253 276 (Pubitemid 47072817)
13. S Ghosh K Lee P Raghavan 2001 A multi-level computational model for multi-scale damage analysis in composite and porous materials Int J Solids Struct 38 2335 2385 (Pubitemid 32333795)
14. P Gosselet C Rey 2006 Non-overlapping domain decomposition methods in structural mechanics Arch Comput Methods Eng 13 515 572
15. P-A Guidault O Allix L Champaney S Cornuault 2008 A multiscale extended finite element method for crack propagation Comput Methods Appl Mech Eng 197 5 381 399 (Pubitemid 47629598)
16. TJR Hughes GR Feijoo L Mazzei J-B Quincy 1998 The variarional multiscale-a paradigm for computational mechanics Comput Methods Appl Mech Eng 166 3 24
17. P Ladevèze D Dureisseix 2000 A micro/macro approch for parallel computing of heterogeneous structures Int J Comput Civil Struct Eng 1 18 28
18. P Ladevèze G Lubineau 2002 An enhanced mesomodel for laminates based on micromechanics Compos Sci Technol 62 4 533 541 (Pubitemid 34213088)
19. P Ladevèze G Lubineau D Violeau 2006 A computational damage micromodel of laminated composites Int J Fract 137 139 150 (Pubitemid 43362078)
20. Ladevèze P, Néron D, Passieux J-C (2008) On multiscale computational mechanics with time-space homogenization. In: Fish J (ed) Bridging the scales in science and engineering. Oxford University Press, London (in press)
21. P Ladevèze A Nouy 2003 On a multiscale computational strategy with time and space homogenization for structural mechanics Comput Methods Appl Mech Eng 192 3061 3087 (Pubitemid 36967752)
22. J Mandel 1993 Balancing domain decomposition Commun Numer Methods Eng 9 233 241 (Pubitemid 23640986)
23. J Melenk I Babuška 1996 The partition of unity finite element method: basic theory and applications Comput Methods Appl Mech Eng 39 289 314 (Pubitemid 126382701)
24. N Moës J Dolbow T Belytschko 1999 A finite element method for crack growth without remeshing Int J Eng Sci 46 131 150 (Pubitemid 30508928)
25. JT Oden K Vemaganti N Moës 1999 Hierarchical modeling of heterogeneous solids Comput Methods Appl Mech Eng 172 3 25
26. J Oliver AE Huespe 2004 Continuum approach to material failure in strong discontinuity settings Comput Methods Appl Mech Eng 193 3195 3220 (Pubitemid 38791056)
27. J Pebrel C Rey P Gosselet 2008 A nonlinear dual domain decomposition method: application to structural problems with damage Int J Multiscale Comput Eng 6 3 251 262
28. E Riks 1972 The application of newton's methods to the problem of the application of newton's methods to the problem of elastic stability Journal of Applied Mechanics 39 1060 1065
29. Sanchez-Palencia E (1980) Non homogeneous media and vibration theory. Lecture notes in physics, vol 127. Springer, Berlin
30. JCJ Schellenkens R De Borst 1993 On the numerical integration of interface elements Int J Numer Methods Eng 36 1 43 66
31. E Stein S Ohnimus 1997 Coupled model- and solution-adaptivity in the finite-element method Comput Methods Appl Mech Eng 150 327 350 (Pubitemid 127426187)