Multi-scale modelling of sandwich structures using the Arlequin method Part I: Linear modelling

Finite Elements in Analysis and Design

Volumn 45, Issue 1, 2008, Pages 37-51

  Hu, Heng ^a   Belouettar, Salim ^b   Potier Ferry, Michel ^c   Daya, El Mostafa ^c  

^a WUHAN UNIVERSITY   (China)

^b LUXEMBOURG INSTITUTE OF SCIENCE AND TECHNOLOGY   (Luxembourg)

^c UNIVERSITÉ PAUL VERLAINE METZ   (France)

Author keywords

Arlequin; Finite element; Local effects; Multi scale; Sandwich

Indexed keywords

GLUING; STRUCTURE (COMPOSITION);

ARLEQUIN; FINITE ELEMENT; LOCAL EFFECTS; MULTI-SCALE; SANDWICH;

MATHEMATICAL OPERATORS;

EID: 56249134859     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2008.07.003     Document Type: Article

References (20)

1. G. Strang, G.J. Fix, An Analysis of the Finite Element Method, vol. 1, Prentice-Hall, Englewood Cliffs, NJ, 1973.
2. Melenk J.M., and Babuska I. The partition of unity method: basic theory and applications. Comput. Methods Appl. Mech. Eng. 139 (1996) 289-314
3. Babuska I., Strouboulis T., and Copps K. The design and analysis of the generalized finite element method. Comput. Methods Appl. Mech. Eng. 181 (2000) 43-69
4. Moës N., Dolbow J., and Belytschko T. A finite element method method for crack growth without remeshing. Int. J. Numer. Methods Eng. 746 (1999) 131-150
5. Fish J. The s-version of the finite element method. Comput. Struct. 43 3 (1992) 539-547
6. Fish J., and Markolefas S. Adaptive s-method for linear elastostatics. Comput. Methods Appl. Mech. Eng. 104 (1993) 363-396
7. Fish J., and Guttal R. The s-version of finite element method for laminated composites. Int. J. Numer. Methods Eng. 39 (1996) 3641-3662
8. Ben Dhia H. Multiscale mechanical problems: the arlequin method. C. R. Acad. Sci. IIb 326 (1998) 899-904
9. H. Ben Dhia, Numerical modelling of multiscale problems: the arlequin method, in: CD Proceedings of ECCM'99, Munchen, 1999.
10. Ben Dhia H., and Rateau G. Analyse mathématique de la méthode arlequin mixte. C. R. Acad. Sci. I 332 (2001) 649-654
11. G. Rateau, Méthode Arlequin pour les problèmes mécaniques multi-échelles: applications à des problèmes de jonction et de fissuration de structures élancées, Ph.D. Thesis, École Centrale Paris, 2003.
12. Ben Dhia H., and Rateau G. The arlequin method as a flexible engineering design tool. Int. J. Numer. Methods. Eng. 62 (2005) 1442-1462
13. Reddy J.N., and Robbins D.H. Theories and computational models for composite laminates. Appl. Mech. Rev. 51 47 (1994) 147-169
14. Fish J., and Markolefas S. Adaptive global-local refinement strategy based on interior error estimates of the h-method. Int. J. Numer. Methods Eng. 37 (1994) 828-838
15. Fish J., Pan L., Belsky V., and Gomaa S. Unstructured multigrid method for shells. Int. J. Numer. Methods Eng. 39 (1996) 1181-1197
16. J.L. Batoz, G. Dhatt, Modélisation des Structures par Éléments Finis, vol. 1, HERMES, Paris, 1990.
17. Mead D.J., and Markus S. The forced vibration of three-layer damped sandwich beam with arbitrary boundary conditions. J. Sound Vib. 10 (1969) 163-175
18. Rao D.K. Frequency and loss factor of sandwich beams under various boundary conditions. J. Mech. Eng. Sci. 20 5 (1978) 271-282
19. He J.F., and Ma B.A. Vibration analysis of viscoelastically damped sandwich plates. J. Sound Vib. 271 3-5 (1992) 789-813
20. Hu H., Belouettar S., Potier-Ferry M., and Daya E.M. Review and assessment of various theories for modelling sandwich composites. J. Compos. Struct. 84 3 (2008) 282-292