A multiscale computational method with time and space homogenization;Une stratégie de calcul multiéchelle avec homogénéisation en espace et en temps

Comptes Rendus - Mecanique

Volumn 330, Issue 10, 2002, Pages 683-689

  Ladeveze, Pierre ^a   Nouy, Anthony ^a  

^a Grande Voie des Vignes   (France)

Author keywords

Computational solid mechanics; Domain decomposition; Homogenization; Multiscale

Indexed keywords

HOMOGENIZATION;

ARTICLE; MATHEMATICAL ANALYSIS; SPACE; STRUCTURE ANALYSIS; TECHNIQUE; TIME;

EID: 0036813632     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(02)01514-0     Document Type: Article

References (17)

1. P. Ladevèze, Nonlinear Computational Structural Mechanics - New Approaches and Non-Incremental Methods of Calculation, Springer-Verlag, 1999.
2. K. Eriksson, D. Estep, P. Hansbo, C. Johnson, Computational Differential Equations, Cambridge, 1996.
3. P. Ladevèze, Sur une famille d'algorithmes en mécanique des structures, C. R. Acad. Sci. Paris, Série IIb 300 (2) (1985) 41-44.
4. P. Ladevèze, O. Loiseau, D. Dureisseix, A micro-macro and parallel computational strategy for highly heterogeneous structures, Internat. J. Numer. Methods Engrg. 52 (2001) 121-138.
5. T. Belytschko, P. Smolinski, W.K. Liu, Stability of multi-time step partitioned integrators for the first-order finite element systems, Comput. Methods Appl. Mech. Engrg. 49 (1985) 281-297.
6. A. Benssoussan, J.-L. Lions, G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland, 1978.
7. F. Devries, H. Dumontet, G. Duvaut, F. Léné, Homogenization and damage for composite structures, Internat. J. Numer. Methods Engrg. 27 (1989) 285-298.
8. 2 multiscale approach for modelling the elasto-viscoplastic behaviour of long fiber SiC/Ti composite materials, Comput. Methods Appl. Mech. Engrg. 183 (2000) 417-455.
9. J. Fish, K. Sheck, M. Pandheeradi, M.S. Shepard, Computational plasticity for composite structures based on mathematical homogenization: Theory and practice, Comput. Methods Appl. Mech. Engrg. 148 (1997) 53-73.
10. G.A. Francfort, Homogenization and linear thermoelasticity, SIAM J. Math. Anal. 14 (1983) 696-708.
11. A. Gravouil, A. Combescure, Multi-time-step explicit implicit method for non-linear structural dynamics, Internat. J. Numer. Methods Engrg. 50 (2001) 199-225.
12. T. Guennouni, Sur une méthode de calcul de structures soumises à des chargements cycliques: L'homogénéisation en temps, Math. Modelling Numer. Anal. 22 (3) (1988) 417-455.
13. P. Ladevèze, D. Dureisseix, A new micro macro computational strategy for structural analysis, C. R. Acad. Sci. Paris, Série IIb 327 (1999) 1237-1244.
14. P. Ladevèze, A. Nouy, O. Loiseau, A multiscale computational approach for contact problems, Comput. Methods Appl. Mech. Engrg. (2002), in press.
15. J.T. Oden, K. Vemaganti, N. Moes, Hierarchical modelling of heterogeneous solids, Comput. Methods Appl. Mech. Engrg. 172 (1999) 2-25.
16. É. Sanchez-Palencia, Comportement local et macroscopique d'un type de mileux physiques hétérogènes, Internat. J. Engrg. Sci. 12 (1974) 231-251.
17. M. Lefik, B.A. Schrefler, Modelling of nonstationary heat conduction problems in micro-periodic composites using homogenisation theory with corrective terms, Arch. Mech. 52 (2) (2000) 203-223.