POD-based model order reduction for the simulation of strong nonlinear evolutions in structures: Application to damage propagation

IOP Conference Series: Materials Science and Engineering

Volumn 10, Issue 1, 2014, Pages

  Kerfriden, P ^a   Gosselet, P ^b   Adhikari, S ^b   Bordas, S ^b   Passieux, J C ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; TOPOLOGY;

DAMAGE PROPAGATION; EFFICIENT SOLUTION PROCEDURE; MODEL ORDER REDUCTION; NEWTON-KRYLOV; NONLINEAR EVOLUTIONS; NONLINEAR PROBLEMS; TOPOLOGICAL CHANGES;

COMPUTATIONAL MECHANICS;

EID: 84907699933     PISSN: 17578981     EISSN: 1757899X     Source Type: Conference Proceeding    
DOI: 10.1088/1757-899X/10/1/012165     Document Type: Conference Paper

References (25)

1. Allix O and A Corigliano 1996 Modeling and simulation of crack propagation in mixed-modes interlaminar fracture specimens Int. J. Fracture 77 11-140
2. Allix O, P Kerfriden and P Gosselet 2010 On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework Int. J. for Numerical Methods Eng. DOI:10.1002/nme.2884
3. Bordas S and B Moran 2006 Enriched finite elements and level sets for damage tolerance assessment of complex structures Eng. Fracture Mechanics 73 (9) 1176-1201
4. Chinesta F, A Ammar and E Cueto 2009 Proper generalized decomposition of multiscale models Int. J. for Numerical Methods Eng. DOI:10.1002/nme.2794
5. Dostál Z 1988 Conjugate gradient method with preconditioning by projector Int. J. Comput. Math. 23 (3) 315-323
6. 2multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials Comput. Methods Appl. Mechanics Eng. 183 309-330
7. Fish J, K Shek, M Pandheeradi and M S Shephard 1997 Computational plasticity for composite structures based on mathematical homogenization: Theory and practice Comput. Methods Appl. Mechanics Eng. 148 53-73
8. Franceschini G, D Bigoni, P Regitnig and GA Holzapfel 2006 Brain tissue deforms similarly to filled elastomers and follows consolidation theory J. the Mechanics Phys. Solids 54 (12) 2592-2620
9. Gosselet P and C Rey 2006 Non-overlapping domain decomposition methods in structural mechanics Archives Comput. Methods Eng. 13 515-572
10. AD Jefferson and T Bennett 2009 A model for cementitious composite materials based on micro-mechanical solutions and damage-contact theory Comput. Structures doi:10.1016/j.compstruc.2008.09.006
11. Karhunen K 1947 Uber lineare methoden in der wahrscheinlichkeitsrechnung Annales Academiæ Scientiarum Fennicæ Ser. A1, Math. Phys. 37 1-79
12. Kerfriden P, O Allix and P Gosselet 2009 A three-scale domain decomposition method for the 3D analysis of debonding in laminates Comput. Mechanics 44 (3) 343-362
13. Ladevèze P, JC Passieux and D Néron 2009 The latin multiscale computational method and the proper generalized decomposition Comput. Methods Appl. Mechanics Eng. 199 (21) 1287-1296
14. Lemaître J and J-L Chaboche 1990 Mechanics of Solid Materials (Cambridge University Press)
15. Liang Y C, H P Lee, S P Lim, W Z Lin, K H Lee and C G Wu 2002 Proper orthogonal decomposition and its applications - part I: theory J. Sound Vibration 252 (3) 527-544
16. Loeve M 1963 Probability Theory 3rd edn (Van Nostrand, Princeton)
17. Lubineau G, P Ladevèze and D Marsal 2007 Towards a bridge between the micro- and mesomechanics of delamination for laminated composites Composites Sci. Technol. 66 (6) 698-712
18. Markovinovic R and JD Jansen 2006 Accelerating iterative solution methods using reduced-order models as solution predictors Int. J. for numerical Methods Eng. 68 525-54
19. Niroomandi S, I Alfaro, E Cueto and F Chinesta 2008 Real-time deformable models of non-linear tissues by model reduction techniques Comput. Methods Programs Biomedicine 91 (3) 223-231
20. Pebrel J, C Rey and P Gosselet 2008 A nonlinear dual domain decomposition method: application to structural problems with damage Int. J. for Multiscale Comput. Eng. 6 (3)
21. Risler F and C Rey 2000 Iterative accelerating algorithms with krylov subspaces for the solution to large-scale nonlinear problems Numerical algorithms 23 1-30
22. Ryckelynck D 2005 A priori hyperreduction method: an adaptive approach J. Comput. Phys. 202 (1) 346-366
23. Ryckelynck D 2008 Hyper-reduction of mechanical models involving internal variables Int. J. for Numerical Methods Eng. 77 (1) 75-89
24. Ryckelynck D and D M Benziane 2010 Multi-level a priori hyper-reduction of mechanical models involving internal variables Comput. Methods Appl. Mechanics Eng. 199 (17-20) 1134-1142
25. Sirovich L 1987 Turbulence and the dynamics of coherent structures. part I: coherent structures Quarterly Appl. Math. 45 561-571