Homogenization of a Sandwich Structure and Validity of the Corresponding Two-dimensional Equivalent Model
Source abstract
Abstract
The aim of this paper is to present a method allowing us to obtain the three-dimensional (3D) modeling of sandwich structures by a two-dimensional (2D) equivalent plate-type model. This modeling is carried out by using the homogenization method of periodic media based on the technique of asymptotic expansions. We propose a new method of identifying the 2D equivalent model parameters that are required by most well-known softwares. The validity of the 2D models obtained is studied by comparing the 3D and 2D calculation results through the definition of two error indicators in terms of displacement and stress.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Material Properties and Processing
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
LMCAO, Université de Picardie Jules Verne, IUT, 48 rue d’Ostende, 02100 Saint-Quentin, France
References (22)
Show source-provided references
1. 10.1016/S0045-7825(96)01196-610.1016/S0045-7825(96)01196-6 ↗
2. Xu, X.F. · Int. J. Solids Structures · 2001 · 39 · 2153
3. 10.1016/S0020-7683(00)00246-810.1016/S0020-7683(00)00246-8 ↗
4. 10.1016/S0263-8223(01)00027-710.1016/S0263-8223(01)00027-7 ↗
5. 10.1002/mma.167006011210.1002/mma.1670060112 ↗
6. 10.1016/0020-7683(84)90044-110.1016/0020-7683(84)90044-1 ↗
7. 10.1016/0020-7683(94)00309-K10.1016/0020-7683(94)00309-K ↗
8. Sanchez Palencia, E. · 1985 · 122
9. Duvaut, G. · 1977 · 131
10. Batoz, J.L. and Dhatt, G. (1990). Modélisation des structures paréléments finis: poutres et plaques, Vol. 2, Edition Hermes, Paris.
11. Bensoussan, A. Lions · 1979
12. 10.1002/pssb.222151021110.1002/pssb.2221510211 ↗
13. Ciarlet, P.G. · J. Mécanique · 1979 · 18 · 315
14. Duvaut, G. and Metellus, A.M. (1976). Homogeneisation d’une plaque mince en flexion d’une structure periodique et symetrique, C. R. Acad. Sci. Sér., A283: 947–950.
15. Bourgeois, S. · 1997
16. Debordes, O. · 1986 · 453
17. Bath, K.J. · 1982
18. Verpeaux, P. , Charras, T. and Millard, A. (1988). Castem2000: A Modern Approach of the Calculation of the Structures, Calculation of the Structures and Intelligence Artificial, pp. 261–271, Pluralis .
19. Duvaut, G. and Lene, F. (1981). Resultats d’isotropie pour des milieux homogeneises, C. R. Acad. Sci. Sér, II293: 477–480.
20. Saidi, A.
21. 10.1108/0264440991027794210.1108/02644409910277942 ↗
22. 10.1002/nme.162018071110.1002/nme.1620180711 ↗