Subsampling and homogenization to investigate variability of composite material mechanical properties

Computer Methods in Applied Mechanics and Engineering

Volumn 241-244, Issue , 2012, Pages 238-245

  Pineau, Pierre ^a   Dau, Frédéric ^b  

^a UNIVERSITÉ DE LYON   (France)

^b University Bordeaux I2M UMR CNRS 5295   (France)

Author keywords

Elastic properties; Finite Element Analysis (FEA); Multiscale modeling; Probabilistic methods; Structural composites

Indexed keywords

DISPERSION FUNCTION; EFFECTIVE ELASTIC PROPERTY; ELASTIC PROPERTIES; HETEROGENEOUS MEDIA; MESOSCOPIC SCALE; MICROSCOPIC SCALE; MULTI-SCALE MODELING; MULTI-SCALE MODELLING; PLANE STRAINS; POST PROCESSING; PROBABILISTIC METHODS; REINFORCED COMPOSITES; SAMPLING TECHNIQUE; STATISTICAL INFERENCE; STATISTICAL VARIABILITY; STRESS FIELD; STRUCTURAL COMPOSITES; SUB-CELLS;

COMPOSITE MATERIALS; DISPERSIONS; ELASTICITY; FINITE ELEMENT METHOD; LOADING; SUPERCONDUCTING MATERIALS;

BIOMECHANICS;

EID: 84864027257     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.06.003     Document Type: Article

References (19)

1. Babuska I., Andersson B., Smith P.J., Levin K. Damage analysis of fiber composites. Part I: Statistical analysis on fiber scale. Comput. Methods Appl. Mech. Engrg. 1999, 172:27-77.
2. Brockenbrough J.R., Suresh S., Wienecke H.A. Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape. Acta Metall. Mater. 1991, 39-5:735-752.
3. Cailletaud G., Forest S., Jeulin D., Feyel F., Gallier I., Mounoury V., Quilici S. Some elements of microstructural mechanics. Comput. Mater. Sci. 2003, 27:351-374.
4. R. Chermaneanu, L. Guillaumat, F. Dau, Uncertainties propagation in composite materials, in: Proceedings of Journées Nationales sur les Composites 16 (JNC16), Toulouse, France, 2009.
5. F. Dau, A. Alzina, L. Guillaumat, Uncertainties propagations of composite mechanical properties from micro to macro scale, in: Proceedings of the thirteenth European Conference on Composite Materials (ECCM13), Stockholm, Sweden, 2008.
6. Forest S., Pradel F., Sab K. Asymptotic analysis of heterogeneous cosserat media. Int. J. Solids Struct. 2001, 38:4585-4608.
7. Hill R. Elastic properties of reinforced soils: some technical principles. J. Mech. Phys. Solids 1963, 11:357-372.
8. Hollister S.J., Brennan J.M., Kikuchi N. A homogenization sampling procedure for calculating trabecular bon effective stiffness and tissue level stress. J. Biomech. 1994, 27(4):433-444.
9. Hollister S.J., Kikuchi N. A comparision of homogenization and standard mechanics analyses for periodic porous composites. Comput. Mech. 1992, 10:73-95.
10. Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. J. Mech. Phys. Solids 1990, 38(6):813-841.
11. Kanit T., Forest S., Galliet I., Mounoury V., Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. Int. J. Solids Struct. 2003, 40:3647-3679.
12. Lahiri S.N., Kaser M.S., Cressie N., Hsu N.J. Prediction of spatial cumulative distribution functions using subsampling. J. Am. Stat. Assoc. 1999, 94(445):86-110.
13. Politis D.N., Sherman M. Moment estimation for statistics from marked point processes. Journal of the Royal Statistical Society B 2001, 63:261-275. part 2.
14. Ripley B.D. Statistical inference for spatial process 1988, Cambridge University Press.
15. Sab K. On the homogenization and the simulation of random materials. Eur. J. Mech. A. Solids 1992, 11(5):585-607.
16. Sakata S., Ashida F., Zako M. Kriging-based approximate stochastic homogenization analysis for composite materials. Comput. Methods Appl. Mech. Engrg. 2008, 197:1953-1964.
17. in: E. Sanchez-Palencia, A. Zaoui, (eds.), Lecture Notes in Physics, vol. 272, Springer-Verlag, Berlin.
18. Shkoller S. An approximate homogenization scheme for non-periodic materials. Comput. Math. Appl. 1997, 33(4):15-34.
19. Trias D., Costa J., Turon A., Hurtado J.E. Determination of the critical size of a statistical representative volume element (srve) for carbon reinforced polymers. Acta Mater. 2006, 54:3471-3484.