Young's modulus of 2D cellular structures under periodic boundary conditions and subject to structural effects

Computational Materials Science

Volumn 44, Issue 2, 2008, Pages 552-565

  Guessasma, S ^a  

^a INRA   (France)

Author keywords

Biopolymer cellular solids; Elasticity parameters; Monte Carlo Voronoi algorithm; Relative density; Structural effects

Indexed keywords

BIOMOLECULES; BOUNDARY VALUE PROBLEMS; CONCENTRATION (PROCESS); CYTOLOGY; ELASTICITY; MONTE CARLO METHODS; POLYMERS;

2D SPACES; CELL CURVATURES; CELL DENSITIES; CELLULAR SOLIDS; CELLULAR STRUCTURES; EFFECTIVE PROPERTIES; ELASTICITY PARAMETERS; FINITE-ELEMENT CALCULATIONS; MONTE CARLO; MONTE CARLO/VORONOI ALGORITHM; NATURAL BIOPOLYMERS; NUMERICAL RESULTS; PERIODIC BOUNDARY CONDITIONS; RELATIVE DENSITY; STRUCTURAL EFFECTS; VORONOI; VORONOI TECHNIQUES; YOUNG'S MODULUS;

CELLS;

EID: 55649110896     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2008.04.019     Document Type: Article

References (25)

1. Gibson L.J., and Ashby M.F. Cellular Solids (1997), Pergamon Press Ltd., Cambridge
2. Chen C., Lu T.J., and Fleck N.A. Int. J. Mech. Sci. 43 2 (2001) 487-504
3. Grenestedt J.L. J. Mech. Phys. Solids 46 1 (1998) 29-50
4. Zhu H.X., Hobdell J.R., and Windle A.H. J. Mech. Phys. Solids 49 4 (2001) 857-870
5. Huang J.-S., and Chang F.-M. Compos. Struct. 69 2 (2005) 183-191
6. Simone A.E., and Gibson L.J. Acta Mater. 46 6 (1998) 2139-2150
7. Andrews E., Sanders W., and Gibson L.J. Mat. Sci. Eng. A 270 2 (1999) 113-124
8. Torquato S., Gibiansky L.V., Silva M.J., and Gibson L.J. Int. J. Mech. Sci. 40 1 (1998) 71-82
9. Silva M.J., Hayes W.C., and Gibson L.J. Int. J. Mech. Sci. 37 11 (1995) 1161-1177
10. Fortune S. Voronoi diagrams and Delaunay triangulations. In: Du D.A., and Hwang F.K. (Eds). Euclidean Geometry and Computers (1992), World Scientific Publishing Co. 193-233
11. Evans J.W. Random and cooperative sequential adsorption. Rev. Mod. Phys. 65 4 (1993) 1281-1329
12. Fazekas A., Dendievel R., Salvo L., and Bréchet Y. Int. J. Mech. Sci. 44 10 (2002) 2047-2066
13. A. Fazekas, PhD thesis, Study of the effect of structural dispersions on effective properties of cellular materials, INPG, Grenoble, 2003 (in French).
14. Guessasma S., Elkedim O., Nardin Ph., Hamzaoui R., and Grosdidier T. Corros. Sci. 49 7 (2007) 2880-2904
15. Metropolis N., and Ulam S. J. Am. Stat. Ass. 44 (1949) 335-341
16. Srolovitz D.J., Anderson M.P., and Sahni P.S. Acta Metal. 32 (1984) 93-802
17. Humphreys F.J., and Hatherly M. Recrystallization and Related Annealing Phenomena (1996), Pergamon Press, Oxford
18. Rollett AD., and Manohar P. The Monte Carlo Method. In: Raabe D., Roters F., Barlat F., and Chen L.-Q. (Eds). Continuum Scale Simulation of Engineering Materials: Fundamentals - Microstructures - Process Applications (2004), Wiley-VCH Verlag GmbH & Co
19. Stauffer D., Hehl F.W., Winkelmann V., and Zabolitzky J.G. Computer Simulation and Computer Algebra (1989), Springer-Verlag p. 61
20. Onck PR. MRS Bull. 04 (2003) 279-283
21. Edward Guo X., and Gibson L.J. Int. J. Mech. Sci. 41 1 (1999) 85-105
22. Papka S., and Kyriakides S. Int. J. Solids Struct. 35 3-4 (1998) 239-267
23. Donev A., Cisse I., Sachs D., Variano E.A., Stillinger F.H., Connelly R., Torquato S., and Chaikin P.M. Science 303 (2004) 990
24. Chen C., Lu T.J., and Fleck N.A. J. Mech. Phys. Solids 47 11 (1999) 2235-2272
25. Deshpande V.S., and Fleck N.A. J. Mech. Phys. Solids 48 6-7 (1999) 1253-1283